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Added rack2d() and various VNF generating functions to involute_gears.scad
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2 changed files with 411 additions and 169 deletions
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@ -77,12 +77,15 @@ function adendum(pitch=5) = module_value(pitch);
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// Arguments:
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// Arguments:
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// pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
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// pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
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// clearance = If given, sets the clearance between meshing teeth.
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// clearance = If given, sets the clearance between meshing teeth.
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function dedendum(pitch=5, clearance=undef) =
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function dedendum(pitch=5, clearance) =
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(clearance==undef)? (1.25 * module_value(pitch)) : (module_value(pitch) + clearance);
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is_undef(clearance)? (1.25 * module_value(pitch)) :
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(module_value(pitch) + clearance);
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// Function: pitch_radius()
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// Function: pitch_radius()
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// Description: Calculates the pitch radius for the gear.
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// Description:
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// Calculates the pitch radius for the gear. Two mated gears will have their centers spaced apart
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// by the sum of the two gear's pitch radii.
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// Arguments:
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// Arguments:
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// pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
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// pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
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// teeth = The number of teeth on the gear.
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// teeth = The number of teeth on the gear.
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@ -98,7 +101,7 @@ function pitch_radius(pitch=5, teeth=11) =
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// teeth = The number of teeth on the gear.
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// teeth = The number of teeth on the gear.
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// clearance = If given, sets the clearance between meshing teeth.
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// clearance = If given, sets the clearance between meshing teeth.
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// interior = If true, calculate for an interior gear.
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// interior = If true, calculate for an interior gear.
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function outer_radius(pitch=5, teeth=11, clearance=undef, interior=false) =
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function outer_radius(pitch=5, teeth=11, clearance, interior=false) =
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pitch_radius(pitch, teeth) +
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pitch_radius(pitch, teeth) +
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(interior? dedendum(pitch, clearance) : adendum(pitch));
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(interior? dedendum(pitch, clearance) : adendum(pitch));
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@ -111,22 +114,22 @@ function outer_radius(pitch=5, teeth=11, clearance=undef, interior=false) =
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// teeth = The number of teeth on the gear.
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// teeth = The number of teeth on the gear.
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// clearance = If given, sets the clearance between meshing teeth.
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// clearance = If given, sets the clearance between meshing teeth.
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// interior = If true, calculate for an interior gear.
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// interior = If true, calculate for an interior gear.
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function root_radius(pitch=5, teeth=11, clearance=undef, interior=false) =
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function root_radius(pitch=5, teeth=11, clearance, interior=false) =
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pitch_radius(pitch, teeth) -
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pitch_radius(pitch, teeth) -
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(interior? adendum(pitch) : dedendum(pitch, clearance));
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(interior? adendum(pitch) : dedendum(pitch, clearance));
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// Function: base_radius()
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// Function: base_radius()
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// Description: Get the base circle for involute teeth.
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// Description: Get the base circle for involute teeth, at the base of the teeth.
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// Arguments:
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// Arguments:
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// pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
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// pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
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// teeth = The number of teeth on the gear.
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// teeth = The number of teeth on the gear.
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// PA = Pressure angle in degrees. Controls how straight or bulged the tooth sides are.
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// pressure_angle = Pressure angle in degrees. Controls how straight or bulged the tooth sides are.
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function base_radius(pitch=5, teeth=11, PA=28) =
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function base_radius(pitch=5, teeth=11, pressure_angle=28) =
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pitch_radius(pitch, teeth) * cos(PA);
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pitch_radius(pitch, teeth) * cos(pressure_angle);
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// Function bevel_pitch_angle()
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// Function: bevel_pitch_angle()
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// Usage:
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// Usage:
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// x = bevel_pitch_angle(teeth, mate_teeth, [drive_angle]);
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// x = bevel_pitch_angle(teeth, mate_teeth, [drive_angle]);
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// Description:
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// Description:
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@ -146,36 +149,36 @@ function _gear_q6(b,s,t,d) = _gear_polar(d,s*(_gear_iang(b,d)+t)); //
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function _gear_q7(f,r,b,r2,t,s) = _gear_q6(b,s,t,(1-f)*max(b,r)+f*r2); //radius a fraction f up the curved side of the tooth
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function _gear_q7(f,r,b,r2,t,s) = _gear_q6(b,s,t,(1-f)*max(b,r)+f*r2); //radius a fraction f up the curved side of the tooth
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// Section: Modules
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// Section: 2D Profiles
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// Function&Module: gear_tooth_profile()
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// Function&Module: gear_tooth_profile()
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// Usage: As Module
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// Usage: As Module
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// gear_tooth_profile(pitch, teeth, <PA>, <clearance>, <backlash>, <interior>, <valleys>);
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// gear_tooth_profile(pitch, teeth, <pressure_angle>, <clearance>, <backlash>, <interior>, <valleys>);
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// Usage: As Function
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// Usage: As Function
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// path = gear_tooth_profile(pitch, teeth, <PA>, <clearance>, <backlash>, <interior>, <valleys>);
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// path = gear_tooth_profile(pitch, teeth, <pressure_angle>, <clearance>, <backlash>, <interior>, <valleys>);
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// Description:
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// Description:
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// When called as a function, returns the 2D profile path for an individual gear tooth.
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// When called as a function, returns the 2D profile path for an individual gear tooth.
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// When called as a module, creates the 2D profile shape for an individual gear tooth.
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// When called as a module, creates the 2D profile shape for an individual gear tooth.
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// Arguments:
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// Arguments:
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// pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
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// pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
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// teeth = Total number of teeth along the rack
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// teeth = Total number of teeth on the spur gear that this is a tooth for.
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// PA = Pressure Angle. Controls how straight or bulged the tooth sides are. In degrees.
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// pressure_angle = Pressure Angle. Controls how straight or bulged the tooth sides are. In degrees.
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// clearance = Gap between top of a tooth on one gear and bottom of valley on a meshing gear (in millimeters)
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// clearance = Gap between top of a tooth on one gear and bottom of valley on a meshing gear (in millimeters)
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// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle
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// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle
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// interior = If true, create a mask for difference()ing from something else.
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// interior = If true, create a mask for difference()ing from something else.
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// valleys = If true, add the valley bottoms on either side of the tooth. Default: true
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// valleys = If true, add the valley bottoms on either side of the tooth. Default: true
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// center = If true, centers the pitch circle of the tooth profile at the origin. Default: false.
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// center = If true, centers the pitch circle of the tooth profile at the origin. Default: false.
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// Example(2D):
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// Example(2D):
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// gear_tooth_profile(pitch=5, teeth=20, PA=20);
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// gear_tooth_profile(pitch=5, teeth=20, pressure_angle=20);
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// Example(2D):
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// Example(2D):
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// gear_tooth_profile(pitch=5, teeth=20, PA=20, valleys=false);
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// gear_tooth_profile(pitch=5, teeth=20, pressure_angle=20, valleys=false);
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// Example(2D): As a function
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// Example(2D): As a function
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// stroke(gear_tooth_profile(pitch=5, teeth=20, PA=20, valleys=false));
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// stroke(gear_tooth_profile(pitch=5, teeth=20, pressure_angle=20, valleys=false));
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function gear_tooth_profile(
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function gear_tooth_profile(
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pitch = 3,
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pitch = 3,
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teeth = 11,
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teeth = 11,
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PA = 28,
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pressure_angle = 28,
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clearance = undef,
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clearance = undef,
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backlash = 0.0,
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backlash = 0.0,
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interior = false,
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interior = false,
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@ -185,7 +188,7 @@ function gear_tooth_profile(
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p = pitch_radius(pitch, teeth),
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p = pitch_radius(pitch, teeth),
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c = outer_radius(pitch, teeth, clearance, interior),
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c = outer_radius(pitch, teeth, clearance, interior),
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r = root_radius(pitch, teeth, clearance, interior),
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r = root_radius(pitch, teeth, clearance, interior),
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b = base_radius(pitch, teeth, PA),
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b = base_radius(pitch, teeth, pressure_angle),
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t = pitch/2-backlash/2, //tooth thickness at pitch circle
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t = pitch/2-backlash/2, //tooth thickness at pitch circle
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k = -_gear_iang(b, p) - t/2/p/PI*180, //angle to where involute meets base circle on each side of tooth
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k = -_gear_iang(b, p) - t/2/p/PI*180, //angle to where involute meets base circle on each side of tooth
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kk = r<b? k : -180/teeth,
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kk = r<b? k : -180/teeth,
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@ -211,7 +214,7 @@ function gear_tooth_profile(
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module gear_tooth_profile(
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module gear_tooth_profile(
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pitch = 3,
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pitch = 3,
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teeth = 11,
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teeth = 11,
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PA = 28,
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pressure_angle = 28,
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backlash = 0.0,
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backlash = 0.0,
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clearance = undef,
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clearance = undef,
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interior = false,
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interior = false,
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@ -224,7 +227,7 @@ module gear_tooth_profile(
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points=gear_tooth_profile(
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points=gear_tooth_profile(
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pitch = pitch,
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pitch = pitch,
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teeth = teeth,
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teeth = teeth,
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PA = PA,
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pressure_angle = pressure_angle,
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backlash = backlash,
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backlash = backlash,
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clearance = clearance,
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clearance = clearance,
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interior = interior,
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interior = interior,
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@ -237,20 +240,20 @@ module gear_tooth_profile(
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// Function&Module: gear2d()
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// Function&Module: gear2d()
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// Usage: As Module
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// Usage: As Module
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// gear2d(pitch, teeth, <hide>, <PA>, <clearance>, <backlash>, <interior>);
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// gear2d(pitch, teeth, <hide>, <pressure_angle>, <clearance>, <backlash>, <interior>);
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// Usage: As Function
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// Usage: As Function
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// poly = gear2d(pitch, teeth, <hide>, <PA>, <clearance>, <backlash>, <interior>);
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// poly = gear2d(pitch, teeth, <hide>, <pressure_angle>, <clearance>, <backlash>, <interior>);
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// Description:
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// Description:
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// When called as a module, creates a 2D involute spur gear. When called as a function, returns a
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// When called as a module, creates a 2D involute spur gear. When called as a function, returns a
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// 2D path for the perimeter of a 2D involute spur gear. Normally, you should just specify the
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// 2D path for the perimeter of a 2D involute spur gear. Normally, you should just specify the
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// first 2 parameters `pitch` and `teeth`, and let the rest be default values.
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// first 2 parameters `pitch` and `teeth`, and let the rest be default values.
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// Meshing gears must match in `pitch`, `PA`, and `helical`, and be separated by
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// Meshing gears must match in `pitch`, `pressure_angle`, and `helical`, and be separated by
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// the sum of their pitch radii, which can be found with `pitch_radius()`.
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// the sum of their pitch radii, which can be found with `pitch_radius()`.
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// Arguments:
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// Arguments:
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// pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
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// pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
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// teeth = Total number of teeth along the rack
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// teeth = Total number of teeth around the spur gear.
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// hide = Number of teeth to delete to make this only a fraction of a circle
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// hide = Number of teeth to delete to make this only a fraction of a circle
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// PA = Controls how straight or bulged the tooth sides are. In degrees.
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// pressure_angle = Controls how straight or bulged the tooth sides are. In degrees.
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// clearance = Gap between top of a tooth on one gear and bottom of valley on a meshing gear (in millimeters)
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// clearance = Gap between top of a tooth on one gear and bottom of valley on a meshing gear (in millimeters)
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// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle
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// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle
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// interior = If true, create a mask for difference()ing from something else.
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// interior = If true, create a mask for difference()ing from something else.
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@ -259,14 +262,17 @@ module gear_tooth_profile(
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// Example(2D): Typical Gear Shape
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// Example(2D): Typical Gear Shape
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// gear2d(pitch=5, teeth=20);
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// gear2d(pitch=5, teeth=20);
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// Example(2D): Lower Pressure Angle
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// Example(2D): Lower Pressure Angle
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// gear2d(pitch=5, teeth=20, PA=20);
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// gear2d(pitch=5, teeth=20, pressure_angle=20);
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// Example(2D): Partial Gear
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// Example(2D): Partial Gear
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// gear2d(pitch=5, teeth=20, hide=15, PA=20);
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// gear2d(pitch=5, teeth=20, hide=15, pressure_angle=20);
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// Example(2D): Called as a Function
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// path = gear2d(pitch=8, teeth=16);
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// polygon(path);
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function gear2d(
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function gear2d(
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pitch = 3,
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pitch = 3,
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teeth = 11,
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teeth = 11,
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hide = 0,
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hide = 0,
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PA = 28,
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pressure_angle = 28,
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clearance = undef,
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clearance = undef,
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backlash = 0.0,
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backlash = 0.0,
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interior = false,
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interior = false,
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@ -281,7 +287,7 @@ function gear2d(
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p=gear_tooth_profile(
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p=gear_tooth_profile(
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pitch = pitch,
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pitch = pitch,
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teeth = teeth,
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teeth = teeth,
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PA = PA,
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pressure_angle = pressure_angle,
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clearance = clearance,
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clearance = clearance,
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backlash = backlash,
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backlash = backlash,
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interior = interior,
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interior = interior,
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@ -298,7 +304,7 @@ module gear2d(
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pitch = 3,
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pitch = 3,
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teeth = 11,
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teeth = 11,
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hide = 0,
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hide = 0,
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PA = 28,
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pressure_angle = 28,
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clearance = undef,
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clearance = undef,
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backlash = 0.0,
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backlash = 0.0,
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interior = false,
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interior = false,
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@ -309,7 +315,7 @@ module gear2d(
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pitch = pitch,
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pitch = pitch,
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teeth = teeth,
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teeth = teeth,
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hide = hide,
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hide = hide,
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PA = PA,
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pressure_angle = pressure_angle,
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clearance = clearance,
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clearance = clearance,
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backlash = backlash,
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backlash = backlash,
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interior = interior
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interior = interior
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@ -322,23 +328,135 @@ module gear2d(
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}
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}
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// Module: gear()
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// Function&Module: rack2d()
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// Usage:
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// Usage: As a Function
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// gear(pitch, teeth, thickness, <shaft_diam>, <hide>, <PA>, <clearance>, <backlash>, <helical>, <slices>, <interior>);
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// path = rack2d(pitch, teeth, base, <pressure_angle>, <backlash>);
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// Usage: As a Module
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// rack2d(pitch, teeth, base, <pressure_angle>, <backlash>);
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// Description:
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// This is used to create a 2D rack, which is a linear bar with teeth that a gear can roll along.
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// A rack can mesh with any gear that has the same `pitch` and `pressure_angle`.
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// When called as a function, returns a 2D path for the outline of the rack.
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// When called as a module, creates a 2D rack shape.
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// Arguments:
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// pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
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// teeth = Total number of teeth along the rack
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// base = Height of rack in mm, from tooth top to back of rack.
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// pressure_angle = Controls how straight or bulged the tooth sides are. In degrees.
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// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle
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// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
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// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
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// Anchors:
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// "adendum" = At the tips of the teeth, at the center of rack.
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// "adendum-left" = At the tips of the teeth, at the left end of the rack.
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// "adendum-right" = At the tips of the teeth, at the right end of the rack.
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// "dedendum" = At the base of the teeth, at the center of rack.
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// "dedendum-left" = At the base of the teeth, at the left end of the rack.
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// "dedendum-right" = At the base of the teeth, at the right end of the rack.
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// Example(2D):
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// rack2d(pitch=5, teeth=10, base=5, pressure_angle=20);
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// Example(2D): Called as a Function
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// path = rack2d(pitch=8, teeth=8, base=5, pressure_angle=28);
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// polygon(path);
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function rack2d(
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pitch = 5,
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teeth = 20,
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base = 10,
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pressure_angle = 28,
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backlash = 0.0,
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clearance = undef,
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anchor = CENTER,
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spin = 0
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) =
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let(
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a = adendum(pitch),
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d = dedendum(pitch, clearance),
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xa = a * sin(pressure_angle),
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xd = d * sin(pressure_angle),
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l = teeth * pitch,
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anchors = [
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anchorpt("adendum", [0,a,0], BACK),
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anchorpt("adendum-left", [-l/2,a,0], LEFT),
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anchorpt("adendum-right", [l/2,a,0], RIGHT),
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anchorpt("dedendum", [0,-d,0], BACK),
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anchorpt("dedendum-left", [-l/2,-d,0], LEFT),
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anchorpt("dedendum-right", [l/2,-d,0], RIGHT),
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],
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path = [
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[-(teeth-1)/2 * pitch + -1/2 * pitch, a-base],
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[-(teeth-1)/2 * pitch + -1/2 * pitch, -d],
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for (i = [0:1:teeth-1]) let(
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off = (i-(teeth-1)/2) * pitch
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) each [
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[off + -1/4 * pitch + backlash - xd, -d],
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[off + -1/4 * pitch + backlash + xa, a],
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[off + 1/4 * pitch - backlash - xa, a],
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[off + 1/4 * pitch - backlash + xd, -d],
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],
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[ (teeth-1)/2 * pitch + 1/2 * pitch, -d],
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||||||
|
[ (teeth-1)/2 * pitch + 1/2 * pitch, a-base],
|
||||||
|
]
|
||||||
|
) reorient(anchor,spin, two_d=true, size=[l,2*abs(a-base)], anchors=anchors, p=path);
|
||||||
|
|
||||||
|
|
||||||
|
module rack2d(
|
||||||
|
pitch = 5,
|
||||||
|
teeth = 20,
|
||||||
|
base = 10,
|
||||||
|
pressure_angle = 28,
|
||||||
|
backlash = 0.0,
|
||||||
|
clearance = undef,
|
||||||
|
anchor = CENTER,
|
||||||
|
spin = 0
|
||||||
|
) {
|
||||||
|
a = adendum(pitch);
|
||||||
|
d = dedendum(pitch, clearance);
|
||||||
|
l = teeth * pitch;
|
||||||
|
anchors = [
|
||||||
|
anchorpt("adendum", [0,a,0], BACK),
|
||||||
|
anchorpt("adendum-left", [-l/2,a,0], LEFT),
|
||||||
|
anchorpt("adendum-right", [l/2,a,0], RIGHT),
|
||||||
|
anchorpt("dedendum", [0,-d,0], BACK),
|
||||||
|
anchorpt("dedendum-left", [-l/2,-d,0], LEFT),
|
||||||
|
anchorpt("dedendum-right", [l/2,-d,0], RIGHT),
|
||||||
|
];
|
||||||
|
path = rack2d(
|
||||||
|
pitch = pitch,
|
||||||
|
teeth = teeth,
|
||||||
|
base = base,
|
||||||
|
pressure_angle = pressure_angle,
|
||||||
|
backlash = backlash,
|
||||||
|
clearance = clearance
|
||||||
|
);
|
||||||
|
attachable(anchor,spin, two_d=true, size=[l, 2*abs(a-base)], anchors=anchors) {
|
||||||
|
polygon(path);
|
||||||
|
children();
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
// Section: 3D Gears and Racks
|
||||||
|
|
||||||
|
|
||||||
|
// Function&Module: gear()
|
||||||
|
// Usage: As a Module
|
||||||
|
// gear(pitch, teeth, thickness, <shaft_diam>, <hide>, <pressure_angle>, <clearance>, <backlash>, <helical>, <slices>, <interior>);
|
||||||
|
// Usage: As a Function
|
||||||
|
// vnf = gear(pitch, teeth, thickness, <shaft_diam>, <hide>, <pressure_angle>, <clearance>, <backlash>, <helical>, <slices>, <interior>);
|
||||||
// Description:
|
// Description:
|
||||||
// Creates a (potentially helical) involute spur gear. The module `gear()` gives an involute spur
|
// Creates a (potentially helical) involute spur gear. The module `gear()` gives an involute spur
|
||||||
// gear, with reasonable defaults for all the parameters. Normally, you should just choose the
|
// gear, with reasonable defaults for all the parameters. Normally, you should just choose the
|
||||||
// first 4 parameters, and let the rest be default values. The module `gear()` gives a gear in the
|
// first 4 parameters, and let the rest be default values. The module `gear()` gives a gear in the
|
||||||
// XY plane, centered on the origin, with one tooth centered on the positive Y axis. The various
|
// XY plane, centered on the origin, with one tooth centered on the positive Y axis. The
|
||||||
// functions below it take the same parameters, and return various measurements for the gear. The
|
|
||||||
// most important is `pitch_radius()`, which tells how far apart to space gears that are meshing,
|
// most important is `pitch_radius()`, which tells how far apart to space gears that are meshing,
|
||||||
// and `outer_radius()`, which gives the size of the region filled by the gear. A gear has a "pitch
|
// and `outer_radius()`, which gives the size of the region filled by the gear. A gear has a "pitch
|
||||||
// circle", which is an invisible circle that cuts through the middle of each tooth (though not the
|
// circle", which is an invisible circle that cuts through the middle of each tooth (though not the
|
||||||
// exact center). In order for two gears to mesh, their pitch circles should just touch. So the
|
// exact center). In order for two gears to mesh, their pitch circles should just touch. So the
|
||||||
// distance between their centers should be `pitch_radius()` for one, plus `pitch_radius()` for the
|
// distance between their centers should be `pitch_radius()` for one, plus `pitch_radius()` for the
|
||||||
// other, which gives the radii of their pitch circles. In order for two gears to mesh, they must
|
// other, which gives the radii of their pitch circles. In order for two gears to mesh, they must
|
||||||
// have the same `pitch` and `PA` parameters. `pitch` gives the number of millimeters of arc around
|
// have the same `pitch` and `pressure_angle` parameters. `pitch` gives the number of millimeters of arc around
|
||||||
// the pitch circle covered by one tooth and one space between teeth. The `PA` controls how flat or
|
// the pitch circle covered by one tooth and one space between teeth. The `pressure_angle` controls how flat or
|
||||||
// bulged the sides of the teeth are. Common values include 14.5 degrees and 20 degrees, and
|
// bulged the sides of the teeth are. Common values include 14.5 degrees and 20 degrees, and
|
||||||
// occasionally 25. Though I've seen 28 recommended for plastic gears. Larger numbers bulge out
|
// occasionally 25. Though I've seen 28 recommended for plastic gears. Larger numbers bulge out
|
||||||
// more, giving stronger teeth, so 28 degrees is the default here. The ratio of `teeth` for two
|
// more, giving stronger teeth, so 28 degrees is the default here. The ratio of `teeth` for two
|
||||||
|
@ -352,7 +470,7 @@ module gear2d(
|
||||||
// thickness = Thickness of gear in mm
|
// thickness = Thickness of gear in mm
|
||||||
// shaft_diam = Diameter of the hole in the center, in mm
|
// shaft_diam = Diameter of the hole in the center, in mm
|
||||||
// hide = Number of teeth to delete to make this only a fraction of a circle
|
// hide = Number of teeth to delete to make this only a fraction of a circle
|
||||||
// PA = Controls how straight or bulged the tooth sides are. In degrees.
|
// pressure_angle = Controls how straight or bulged the tooth sides are. In degrees.
|
||||||
// clearance = Clearance gap at the bottom of the inter-tooth valleys.
|
// clearance = Clearance gap at the bottom of the inter-tooth valleys.
|
||||||
// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle
|
// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle
|
||||||
// helical = Teeth rotate this many degrees from bottom of gear to top. 360 makes the gear a screw with each thread going around once.
|
// helical = Teeth rotate this many degrees from bottom of gear to top. 360 makes the gear a screw with each thread going around once.
|
||||||
|
@ -366,16 +484,16 @@ module gear2d(
|
||||||
// gear(pitch=5, teeth=20, thickness=8, shaft_diam=5);
|
// gear(pitch=5, teeth=20, thickness=8, shaft_diam=5);
|
||||||
// Example: Helical Gear
|
// Example: Helical Gear
|
||||||
// gear(pitch=5, teeth=20, thickness=10, shaft_diam=5, helical=-30, slices=12, $fa=1, $fs=1);
|
// gear(pitch=5, teeth=20, thickness=10, shaft_diam=5, helical=-30, slices=12, $fa=1, $fs=1);
|
||||||
// Example: Assembly of Gears
|
// Example(2D): Assembly of Gears
|
||||||
// n1 = 11; //red gear number of teeth
|
// n1 = 11; //red gear number of teeth
|
||||||
// n2 = 20; //green gear
|
// n2 = 20; //green gear
|
||||||
// n3 = 5; //blue gear
|
// n3 = 5; //blue gear
|
||||||
// n4 = 20; //orange gear
|
// n4 = 20; //orange gear
|
||||||
// n5 = 8; //gray rack
|
// n5 = 8; //gray rack
|
||||||
// pitch = 9; //all meshing gears need the same `pitch` (and the same `PA`)
|
// pitch = 9; //all meshing gears need the same `pitch` (and the same `pressure_angle`)
|
||||||
// thickness = 6;
|
// thickness = 6;
|
||||||
// hole = 3;
|
// hole = 3;
|
||||||
// height = 12;
|
// rack_base = 12;
|
||||||
// d1 =pitch_radius(pitch,n1);
|
// d1 =pitch_radius(pitch,n1);
|
||||||
// d12=pitch_radius(pitch,n1) + pitch_radius(pitch,n2);
|
// d12=pitch_radius(pitch,n1) + pitch_radius(pitch,n2);
|
||||||
// d13=pitch_radius(pitch,n1) + pitch_radius(pitch,n3);
|
// d13=pitch_radius(pitch,n1) + pitch_radius(pitch,n3);
|
||||||
|
@ -385,14 +503,51 @@ module gear2d(
|
||||||
// translate([ d13, 0, 0]) rotate([0,0,-($t-n3/4+n1/4+1/2)*360/n3]) color([0.75,0.75,1.00]) gear(pitch,n3,thickness,hole);
|
// translate([ d13, 0, 0]) rotate([0,0,-($t-n3/4+n1/4+1/2)*360/n3]) color([0.75,0.75,1.00]) gear(pitch,n3,thickness,hole);
|
||||||
// translate([ d13, 0, 0]) rotate([0,0,-($t-n3/4+n1/4+1/2)*360/n3]) color([0.75,0.75,1.00]) gear(pitch,n3,thickness,hole);
|
// translate([ d13, 0, 0]) rotate([0,0,-($t-n3/4+n1/4+1/2)*360/n3]) color([0.75,0.75,1.00]) gear(pitch,n3,thickness,hole);
|
||||||
// translate([-d14, 0, 0]) rotate([0,0,-($t-n4/4-n1/4+1/2-floor(n4/4)-3)*360/n4]) color([1.00,0.75,0.50]) gear(pitch,n4,thickness,hole,hide=n4-3);
|
// translate([-d14, 0, 0]) rotate([0,0,-($t-n4/4-n1/4+1/2-floor(n4/4)-3)*360/n4]) color([1.00,0.75,0.50]) gear(pitch,n4,thickness,hole,hide=n4-3);
|
||||||
// translate([(-floor(n5/2)-floor(n1/2)+$t+n1/2)*9, -d1+0.0, 0]) color([0.75,0.75,0.75]) rack(pitch=pitch,teeth=n5,thickness=thickness,height=height,anchor=CENTER);
|
// translate([(-floor(n5/2)-floor(n1/2)+$t+n1/2)*9, -d1+0.0, 0]) color([0.75,0.75,0.75]) rack(pitch=pitch,teeth=n5,thickness=thickness,base=rack_base,anchor=CENTER,orient=BACK);
|
||||||
|
function gear(
|
||||||
|
pitch = 3,
|
||||||
|
teeth = 11,
|
||||||
|
thickness = 6,
|
||||||
|
shaft_diam = 3,
|
||||||
|
hide = 0,
|
||||||
|
pressure_angle = 28,
|
||||||
|
clearance = undef,
|
||||||
|
backlash = 0.0,
|
||||||
|
helical = 0,
|
||||||
|
slices = 2,
|
||||||
|
interior = false,
|
||||||
|
anchor = CENTER,
|
||||||
|
spin = 0,
|
||||||
|
orient = UP
|
||||||
|
) =
|
||||||
|
let(
|
||||||
|
p = pitch_radius(pitch, teeth),
|
||||||
|
c = outer_radius(pitch, teeth, clearance, interior),
|
||||||
|
r = root_radius(pitch, teeth, clearance, interior),
|
||||||
|
twist = atan2(thickness*tan(helical),p),
|
||||||
|
rgn = [
|
||||||
|
gear2d(
|
||||||
|
pitch = pitch,
|
||||||
|
teeth = teeth,
|
||||||
|
pressure_angle = pressure_angle,
|
||||||
|
hide = hide,
|
||||||
|
clearance = clearance,
|
||||||
|
backlash = backlash,
|
||||||
|
interior = interior
|
||||||
|
),
|
||||||
|
if (shaft_diam > 0) circle(d=shaft_diam, $fn=max(12,segs(shaft_diam/2)))
|
||||||
|
],
|
||||||
|
vnf = linear_sweep(rgn, height=thickness, center=true)
|
||||||
|
) reorient(anchor,spin,orient, h=thickness, r=p, p=vnf);
|
||||||
|
|
||||||
|
|
||||||
module gear(
|
module gear(
|
||||||
pitch = 3,
|
pitch = 3,
|
||||||
teeth = 11,
|
teeth = 11,
|
||||||
thickness = 6,
|
thickness = 6,
|
||||||
shaft_diam = 3,
|
shaft_diam = 3,
|
||||||
hide = 0,
|
hide = 0,
|
||||||
PA = 28,
|
pressure_angle = 28,
|
||||||
clearance = undef,
|
clearance = undef,
|
||||||
backlash = 0.0,
|
backlash = 0.0,
|
||||||
helical = 0,
|
helical = 0,
|
||||||
|
@ -412,7 +567,7 @@ module gear(
|
||||||
gear2d(
|
gear2d(
|
||||||
pitch = pitch,
|
pitch = pitch,
|
||||||
teeth = teeth,
|
teeth = teeth,
|
||||||
PA = PA,
|
pressure_angle = pressure_angle,
|
||||||
hide = hide,
|
hide = hide,
|
||||||
clearance = clearance,
|
clearance = clearance,
|
||||||
backlash = backlash,
|
backlash = backlash,
|
||||||
|
@ -429,9 +584,11 @@ module gear(
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
// Module: bevel_gear()
|
// Function&Module: bevel_gear()
|
||||||
// Usage:
|
// Usage: As a Module
|
||||||
// bevel_gear(pitch, teeth, face_width, pitch_angle, <shaft_diam>, <hide>, <PA>, <clearance>, <backlash>, <cutter_radius>, <spiral_angle>, <slices>, <interior>);
|
// bevel_gear(pitch, teeth, face_width, pitch_angle, <shaft_diam>, <hide>, <pressure_angle>, <clearance>, <backlash>, <cutter_radius>, <spiral_angle>, <slices>, <interior>);
|
||||||
|
// Usage: As a Function
|
||||||
|
// vnf = bevel_gear(pitch, teeth, face_width, pitch_angle, <hide>, <pressure_angle>, <clearance>, <backlash>, <cutter_radius>, <spiral_angle>, <slices>, <interior>);
|
||||||
// Description:
|
// Description:
|
||||||
// Creates a (potentially spiral) bevel gear. The module `bevel_gear()` gives a bevel gear, with
|
// Creates a (potentially spiral) bevel gear. The module `bevel_gear()` gives a bevel gear, with
|
||||||
// reasonable defaults for all the parameters. Normally, you should just choose the first 4
|
// reasonable defaults for all the parameters. Normally, you should just choose the first 4
|
||||||
|
@ -444,8 +601,8 @@ module gear(
|
||||||
// exact center). In order for two gears to mesh, their pitch circles should just touch. So the
|
// exact center). In order for two gears to mesh, their pitch circles should just touch. So the
|
||||||
// distance between their centers should be `pitch_radius()` for one, plus `pitch_radius()` for the
|
// distance between their centers should be `pitch_radius()` for one, plus `pitch_radius()` for the
|
||||||
// other, which gives the radii of their pitch circles. In order for two gears to mesh, they must
|
// other, which gives the radii of their pitch circles. In order for two gears to mesh, they must
|
||||||
// have the same `pitch` and `PA` parameters. `pitch` gives the number of millimeters of arc around
|
// have the same `pitch` and `pressure_angle` parameters. `pitch` gives the number of millimeters of arc around
|
||||||
// the pitch circle covered by one tooth and one space between teeth. The `PA` controls how flat or
|
// the pitch circle covered by one tooth and one space between teeth. The `pressure_angle` controls how flat or
|
||||||
// bulged the sides of the teeth are. Common values include 14.5 degrees and 20 degrees, and
|
// bulged the sides of the teeth are. Common values include 14.5 degrees and 20 degrees, and
|
||||||
// occasionally 25. Though I've seen 28 recommended for plastic gears. Larger numbers bulge out
|
// occasionally 25. Though I've seen 28 recommended for plastic gears. Larger numbers bulge out
|
||||||
// more, giving stronger teeth, so 28 degrees is the default here. The ratio of `teeth` for two
|
// more, giving stronger teeth, so 28 degrees is the default here. The ratio of `teeth` for two
|
||||||
|
@ -459,7 +616,7 @@ module gear(
|
||||||
// face_width = Width of the toothed surface in mm, from inside to outside.
|
// face_width = Width of the toothed surface in mm, from inside to outside.
|
||||||
// shaft_diam = Diameter of the hole in the center, in mm
|
// shaft_diam = Diameter of the hole in the center, in mm
|
||||||
// hide = Number of teeth to delete to make this only a fraction of a circle
|
// hide = Number of teeth to delete to make this only a fraction of a circle
|
||||||
// PA = Controls how straight or bulged the tooth sides are. In degrees.
|
// pressure_angle = Controls how straight or bulged the tooth sides are. In degrees.
|
||||||
// clearance = Clearance gap at the bottom of the inter-tooth valleys.
|
// clearance = Clearance gap at the bottom of the inter-tooth valleys.
|
||||||
// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle
|
// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle
|
||||||
// pitch_angle = Angle of beveled gear face.
|
// pitch_angle = Angle of beveled gear face.
|
||||||
|
@ -480,6 +637,106 @@ module gear(
|
||||||
// t1 = 16; t2 = 28;
|
// t1 = 16; t2 = 28;
|
||||||
// bevel_gear(pitch=5, teeth=t1, mate_teeth=t2, slices=12, anchor="apex", orient=FWD);
|
// bevel_gear(pitch=5, teeth=t1, mate_teeth=t2, slices=12, anchor="apex", orient=FWD);
|
||||||
// bevel_gear(pitch=5, teeth=t2, mate_teeth=t1, left_handed=true, slices=12, anchor="apex", spin=180/t2);
|
// bevel_gear(pitch=5, teeth=t2, mate_teeth=t1, left_handed=true, slices=12, anchor="apex", spin=180/t2);
|
||||||
|
function bevel_gear(
|
||||||
|
pitch = 3,
|
||||||
|
teeth = 11,
|
||||||
|
face_width = 10,
|
||||||
|
pitch_angle = 45,
|
||||||
|
mate_teeth = undef,
|
||||||
|
hide = 0,
|
||||||
|
pressure_angle = 20,
|
||||||
|
clearance = undef,
|
||||||
|
backlash = 0.0,
|
||||||
|
cutter_radius = 30,
|
||||||
|
spiral_angle = 35,
|
||||||
|
left_handed = false,
|
||||||
|
slices = 1,
|
||||||
|
interior = false,
|
||||||
|
anchor = "pitchbase",
|
||||||
|
spin = 0,
|
||||||
|
orient = UP
|
||||||
|
) =
|
||||||
|
let(
|
||||||
|
slices = cutter_radius==0? 1 : slices,
|
||||||
|
pitch_angle = is_undef(mate_teeth)? pitch_angle : atan(teeth/mate_teeth),
|
||||||
|
pr = pitch_radius(pitch, teeth),
|
||||||
|
rr = root_radius(pitch, teeth, clearance, interior),
|
||||||
|
pitchoff = (pr-rr) * cos(pitch_angle),
|
||||||
|
ocone_rad = opp_ang_to_hyp(pr, pitch_angle),
|
||||||
|
icone_rad = ocone_rad - face_width,
|
||||||
|
cutter_radius = cutter_radius==0? 1000 : cutter_radius,
|
||||||
|
midpr = (icone_rad + ocone_rad) / 2,
|
||||||
|
radcp = [0, midpr] + polar_to_xy(cutter_radius, 180+spiral_angle),
|
||||||
|
angC1 = law_of_cosines(a=cutter_radius, b=norm(radcp), c=ocone_rad),
|
||||||
|
angC2 = law_of_cosines(a=cutter_radius, b=norm(radcp), c=icone_rad),
|
||||||
|
radcpang = vang(radcp),
|
||||||
|
sang = radcpang - (180-angC1),
|
||||||
|
eang = radcpang - (180-angC2),
|
||||||
|
slice_us = [for (i=[0:1:slices]) i/slices],
|
||||||
|
apts = [for (u=slice_us) radcp + polar_to_xy(cutter_radius, lerp(sang,eang,u))],
|
||||||
|
polars = [for (p=apts) [vang(p)-90, norm(p)]],
|
||||||
|
profile = gear_tooth_profile(
|
||||||
|
pitch = pitch,
|
||||||
|
teeth = teeth,
|
||||||
|
pressure_angle = pressure_angle,
|
||||||
|
clearance = clearance,
|
||||||
|
backlash = backlash,
|
||||||
|
interior = interior,
|
||||||
|
valleys = false,
|
||||||
|
center = true
|
||||||
|
),
|
||||||
|
verts1 = [
|
||||||
|
for (polar=polars) [
|
||||||
|
let(
|
||||||
|
u = polar.y / ocone_rad,
|
||||||
|
m = up((1-u) * pr / tan(pitch_angle)) *
|
||||||
|
up(pitchoff) *
|
||||||
|
zrot(polar.x/sin(pitch_angle)) *
|
||||||
|
back(u * pr) *
|
||||||
|
xrot(pitch_angle) *
|
||||||
|
scale(u)
|
||||||
|
)
|
||||||
|
for (tooth=[0:1:teeth-1])
|
||||||
|
each apply(xflip() * zrot(360*tooth/teeth) * m, path3d(profile))
|
||||||
|
]
|
||||||
|
],
|
||||||
|
thickness = abs(verts1[0][0].z - select(verts1,-1)[0].z),
|
||||||
|
vertices = [for (x=verts1) down(thickness/2, p=reverse(x))],
|
||||||
|
sides_vnf = vnf_vertex_array(vertices, caps=false, col_wrap=true, reverse=true),
|
||||||
|
top_verts = select(vertices,-1),
|
||||||
|
bot_verts = select(vertices,0),
|
||||||
|
gear_pts = len(top_verts),
|
||||||
|
face_pts = gear_pts / teeth,
|
||||||
|
top_faces =[
|
||||||
|
for (i=[0:1:teeth-1], j=[0:1:(face_pts/2)-1]) each [
|
||||||
|
[i*face_pts+j, (i+1)*face_pts-j-1, (i+1)*face_pts-j-2],
|
||||||
|
[i*face_pts+j, (i+1)*face_pts-j-2, i*face_pts+j+1]
|
||||||
|
],
|
||||||
|
for (i=[0:1:teeth-1]) each [
|
||||||
|
[gear_pts, (i+1)*face_pts-1, i*face_pts],
|
||||||
|
[gear_pts, ((i+1)%teeth)*face_pts, (i+1)*face_pts-1]
|
||||||
|
]
|
||||||
|
],
|
||||||
|
vnf1 = vnf_merge([
|
||||||
|
[
|
||||||
|
[each top_verts, [0,0,top_verts[0].z]],
|
||||||
|
top_faces
|
||||||
|
],
|
||||||
|
[
|
||||||
|
[each bot_verts, [0,0,bot_verts[0].z]],
|
||||||
|
[for (x=top_faces) reverse(x)]
|
||||||
|
],
|
||||||
|
sides_vnf
|
||||||
|
]),
|
||||||
|
vnf = left_handed? vnf1 : xflip(p=vnf1),
|
||||||
|
anchors = [
|
||||||
|
anchorpt("pitchbase", [0,0,pitchoff-thickness/2]),
|
||||||
|
anchorpt("flattop", [0,0,thickness/2]),
|
||||||
|
anchorpt("apex", [0,0,hyp_ang_to_opp(ocone_rad,90-pitch_angle)+pitchoff-thickness/2])
|
||||||
|
]
|
||||||
|
) reorient(anchor,spin,orient, vnf=vnf, extent=true, anchors=anchors, p=vnf);
|
||||||
|
|
||||||
|
|
||||||
module bevel_gear(
|
module bevel_gear(
|
||||||
pitch = 3,
|
pitch = 3,
|
||||||
teeth = 11,
|
teeth = 11,
|
||||||
|
@ -488,7 +745,7 @@ module bevel_gear(
|
||||||
mate_teeth = undef,
|
mate_teeth = undef,
|
||||||
shaft_diam = 3,
|
shaft_diam = 3,
|
||||||
hide = 0,
|
hide = 0,
|
||||||
PA = 20,
|
pressure_angle = 20,
|
||||||
clearance = undef,
|
clearance = undef,
|
||||||
backlash = 0.0,
|
backlash = 0.0,
|
||||||
cutter_radius = 30,
|
cutter_radius = 30,
|
||||||
|
@ -503,81 +760,32 @@ module bevel_gear(
|
||||||
slices = cutter_radius==0? 1 : slices;
|
slices = cutter_radius==0? 1 : slices;
|
||||||
pitch_angle = is_undef(mate_teeth)? pitch_angle : atan(teeth/mate_teeth);
|
pitch_angle = is_undef(mate_teeth)? pitch_angle : atan(teeth/mate_teeth);
|
||||||
pr = pitch_radius(pitch, teeth);
|
pr = pitch_radius(pitch, teeth);
|
||||||
|
ipr = pr - face_width*sin(pitch_angle);
|
||||||
rr = root_radius(pitch, teeth, clearance, interior);
|
rr = root_radius(pitch, teeth, clearance, interior);
|
||||||
pitchoff = (pr-rr) * cos(pitch_angle);
|
pitchoff = (pr-rr) * cos(pitch_angle);
|
||||||
ocone_rad = opp_ang_to_hyp(pr, pitch_angle);
|
thickness = face_width * cos(pitch_angle);
|
||||||
icone_rad = ocone_rad - face_width;
|
vnf = bevel_gear(
|
||||||
cutter_radius = cutter_radius==0? 1000 : cutter_radius;
|
pitch = pitch,
|
||||||
midpr = (icone_rad + ocone_rad) / 2;
|
teeth = teeth,
|
||||||
radcp = [0, midpr] + polar_to_xy(cutter_radius, 180+spiral_angle);
|
face_width = face_width,
|
||||||
angC1 = law_of_cosines(a=cutter_radius, b=norm(radcp), c=ocone_rad);
|
pitch_angle = pitch_angle,
|
||||||
angC2 = law_of_cosines(a=cutter_radius, b=norm(radcp), c=icone_rad);
|
hide = hide,
|
||||||
radcpang = vang(radcp);
|
pressure_angle = pressure_angle,
|
||||||
sang = radcpang - (180-angC1);
|
clearance = clearance,
|
||||||
eang = radcpang - (180-angC2);
|
backlash = backlash,
|
||||||
slice_us = [for (i=[0:1:slices]) i/slices];
|
cutter_radius = cutter_radius,
|
||||||
apts = [for (u=slice_us) radcp + polar_to_xy(cutter_radius, lerp(sang,eang,u))];
|
spiral_angle = spiral_angle,
|
||||||
polars = [for (p=apts) [vang(p)-90, norm(p)]];
|
left_handed = left_handed,
|
||||||
profile = gear_tooth_profile(
|
slices = slices,
|
||||||
pitch = pitch,
|
interior = interior,
|
||||||
teeth = teeth,
|
anchor=CENTER
|
||||||
PA = PA,
|
|
||||||
clearance = clearance,
|
|
||||||
backlash = backlash,
|
|
||||||
interior = interior,
|
|
||||||
valleys = false,
|
|
||||||
center = true
|
|
||||||
);
|
);
|
||||||
verts1 = [
|
|
||||||
for (polar=polars) [
|
|
||||||
let(
|
|
||||||
u = polar.y / ocone_rad,
|
|
||||||
m = up((1-u) * pr / tan(pitch_angle)) *
|
|
||||||
up(pitchoff) *
|
|
||||||
zrot(polar.x/sin(pitch_angle)) *
|
|
||||||
back(u * pr) *
|
|
||||||
xrot(pitch_angle) *
|
|
||||||
scale(u)
|
|
||||||
)
|
|
||||||
for (tooth=[0:1:teeth-1])
|
|
||||||
each apply(xflip() * zrot(360*tooth/teeth) * m, path3d(profile))
|
|
||||||
]
|
|
||||||
];
|
|
||||||
thickness = abs(verts1[0][0].z - select(verts1,-1)[0].z);
|
|
||||||
vertices = [for (x=verts1) down(thickness/2, p=reverse(x))];
|
|
||||||
sides_vnf = vnf_vertex_array(vertices, caps=false, col_wrap=true, reverse=true);
|
|
||||||
top_verts = select(vertices,-1);
|
|
||||||
bot_verts = select(vertices,0);
|
|
||||||
gear_pts = len(top_verts);
|
|
||||||
face_pts = gear_pts / teeth;
|
|
||||||
top_faces =[
|
|
||||||
for (i=[0:1:teeth-1], j=[0:1:(face_pts/2)-1]) each [
|
|
||||||
[i*face_pts+j, (i+1)*face_pts-j-1, (i+1)*face_pts-j-2],
|
|
||||||
[i*face_pts+j, (i+1)*face_pts-j-2, i*face_pts+j+1]
|
|
||||||
],
|
|
||||||
for (i=[0:1:teeth-1]) each [
|
|
||||||
[gear_pts, (i+1)*face_pts-1, i*face_pts],
|
|
||||||
[gear_pts, ((i+1)%teeth)*face_pts, (i+1)*face_pts-1]
|
|
||||||
]
|
|
||||||
];
|
|
||||||
vnf1 = vnf_merge([
|
|
||||||
[
|
|
||||||
[each top_verts, [0,0,top_verts[0].z]],
|
|
||||||
top_faces
|
|
||||||
],
|
|
||||||
[
|
|
||||||
[each bot_verts, [0,0,bot_verts[0].z]],
|
|
||||||
[for (x=top_faces) reverse(x)]
|
|
||||||
],
|
|
||||||
sides_vnf
|
|
||||||
]);
|
|
||||||
vnf = left_handed? vnf1 : xflip(p=vnf1);
|
|
||||||
anchors = [
|
anchors = [
|
||||||
anchorpt("pitchbase", [0,0,pitchoff-thickness/2]),
|
anchorpt("pitchbase", [0,0,pitchoff-thickness/2]),
|
||||||
anchorpt("flattop", [0,0,thickness/2]),
|
anchorpt("flattop", [0,0,thickness/2]),
|
||||||
anchorpt("apex", [0,0,hyp_ang_to_opp(ocone_rad,90-pitch_angle)+pitchoff-thickness/2])
|
anchorpt("apex", [0,0,adj_ang_to_opp(pr,90-pitch_angle)+pitchoff-thickness/2])
|
||||||
];
|
];
|
||||||
attachable(anchor,spin,orient, vnf=vnf, extent=true, anchors=anchors) {
|
attachable(anchor,spin,orient, r1=pr, r2=ipr, h=thickness, anchors=anchors) {
|
||||||
difference() {
|
difference() {
|
||||||
vnf_polyhedron(vnf, convexity=teeth);
|
vnf_polyhedron(vnf, convexity=teeth);
|
||||||
if (shaft_diam > 0) {
|
if (shaft_diam > 0) {
|
||||||
|
@ -589,19 +797,22 @@ module bevel_gear(
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
// Module: rack()
|
// Function&Module: rack()
|
||||||
// Usage:
|
// Usage: As a Module
|
||||||
// rack(pitch, teeth, thickness, height, <PA>, <backlash>);
|
// rack(pitch, teeth, thickness, base, <pressure_angle>, <backlash>);
|
||||||
|
// Usage: As a Function
|
||||||
|
// vnf = rack(pitch, teeth, thickness, base, <pressure_angle>, <backlash>);
|
||||||
// Description:
|
// Description:
|
||||||
// The module `rack()` gives a rack, which is a bar with teeth. A
|
// This is used to create a 3D rack, which is a linear bar with teeth that a gear can roll along.
|
||||||
// rack can mesh with any gear that has the same `pitch` and
|
// A rack can mesh with any gear that has the same `pitch` and `pressure_angle`.
|
||||||
// `PA`.
|
// When called as a function, returns a 3D [VNF](vnf.scad) for the rack.
|
||||||
|
// When called as a module, creates a 3D rack shape.
|
||||||
// Arguments:
|
// Arguments:
|
||||||
// pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
|
// pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
|
||||||
// teeth = Total number of teeth along the rack
|
// teeth = Total number of teeth along the rack
|
||||||
// thickness = Thickness of rack in mm (affects each tooth)
|
// thickness = Thickness of rack in mm (affects each tooth)
|
||||||
// height = Height of rack in mm, from tooth top to back of rack.
|
// base = Height of rack in mm, from tooth top to back of rack.
|
||||||
// PA = Controls how straight or bulged the tooth sides are. In degrees.
|
// pressure_angle = Controls how straight or bulged the tooth sides are. In degrees.
|
||||||
// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle
|
// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle
|
||||||
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
|
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
|
||||||
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
|
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
|
||||||
|
@ -610,21 +821,21 @@ module bevel_gear(
|
||||||
// "adendum" = At the tips of the teeth, at the center of rack.
|
// "adendum" = At the tips of the teeth, at the center of rack.
|
||||||
// "adendum-left" = At the tips of the teeth, at the left end of the rack.
|
// "adendum-left" = At the tips of the teeth, at the left end of the rack.
|
||||||
// "adendum-right" = At the tips of the teeth, at the right end of the rack.
|
// "adendum-right" = At the tips of the teeth, at the right end of the rack.
|
||||||
// "adendum-top" = At the tips of the teeth, at the top of the rack.
|
// "adendum-back" = At the tips of the teeth, at the back of the rack.
|
||||||
// "adendum-bottom" = At the tips of the teeth, at the bottom of the rack.
|
// "adendum-front" = At the tips of the teeth, at the front of the rack.
|
||||||
// "dedendum" = At the base of the teeth, at the center of rack.
|
// "dedendum" = At the base of the teeth, at the center of rack.
|
||||||
// "dedendum-left" = At the base of the teeth, at the left end of the rack.
|
// "dedendum-left" = At the base of the teeth, at the left end of the rack.
|
||||||
// "dedendum-right" = At the base of the teeth, at the right end of the rack.
|
// "dedendum-right" = At the base of the teeth, at the right end of the rack.
|
||||||
// "dedendum-top" = At the base of the teeth, at the top of the rack.
|
// "dedendum-back" = At the base of the teeth, at the back of the rack.
|
||||||
// "dedendum-bottom" = At the base of the teeth, at the bottom of the rack.
|
// "dedendum-front" = At the base of the teeth, at the front of the rack.
|
||||||
// Example:
|
// Example:
|
||||||
// rack(pitch=5, teeth=10, thickness=5, height=5, PA=20);
|
// rack(pitch=5, teeth=10, thickness=5, base=5, pressure_angle=20);
|
||||||
module rack(
|
module rack(
|
||||||
pitch = 5,
|
pitch = 5,
|
||||||
teeth = 20,
|
teeth = 20,
|
||||||
thickness = 5,
|
thickness = 5,
|
||||||
height = 10,
|
base = 10,
|
||||||
PA = 28,
|
pressure_angle = 28,
|
||||||
backlash = 0.0,
|
backlash = 0.0,
|
||||||
clearance = undef,
|
clearance = undef,
|
||||||
anchor = CENTER,
|
anchor = CENTER,
|
||||||
|
@ -633,40 +844,30 @@ module rack(
|
||||||
) {
|
) {
|
||||||
a = adendum(pitch);
|
a = adendum(pitch);
|
||||||
d = dedendum(pitch, clearance);
|
d = dedendum(pitch, clearance);
|
||||||
xa = a * sin(PA);
|
|
||||||
xd = d * sin(PA);
|
|
||||||
l = teeth * pitch;
|
l = teeth * pitch;
|
||||||
anchors = [
|
anchors = [
|
||||||
anchorpt("adendum", [0,a,0], BACK),
|
anchorpt("adendum", [0,0,a], BACK),
|
||||||
anchorpt("adendum-left", [-l/2,a,0], LEFT),
|
anchorpt("adendum-left", [-l/2,0,a], LEFT),
|
||||||
anchorpt("adendum-right", [l/2,a,0], RIGHT),
|
anchorpt("adendum-right", [ l/2,0,a], RIGHT),
|
||||||
anchorpt("adendum-top", [0,a,thickness/2], UP),
|
anchorpt("adendum-front", [0,-thickness/2,a], DOWN),
|
||||||
anchorpt("adendum-bottom", [0,a,-thickness/2], DOWN),
|
anchorpt("adendum-back", [0, thickness/2,a], UP),
|
||||||
anchorpt("dedendum", [0,-d,0], BACK),
|
anchorpt("dedendum", [0,0,-d], BACK),
|
||||||
anchorpt("dedendum-left", [-l/2,-d,0], LEFT),
|
anchorpt("dedendum-left", [-l/2,0,-d], LEFT),
|
||||||
anchorpt("dedendum-right", [l/2,-d,0], RIGHT),
|
anchorpt("dedendum-right", [ l/2,0,-d], RIGHT),
|
||||||
anchorpt("dedendum-top", [0,-d,thickness/2], UP),
|
anchorpt("dedendum-front", [0,-thickness/2,-d], DOWN),
|
||||||
anchorpt("dedendum-bottom", [0,-d,-thickness/2], DOWN),
|
anchorpt("dedendum-back", [0, thickness/2,-d], UP),
|
||||||
];
|
];
|
||||||
attachable(anchor,spin,orient, size=[l, 2*abs(a-height), thickness], anchors=anchors) {
|
attachable(anchor,spin,orient, size=[l, thickness, 2*abs(a-base)], anchors=anchors) {
|
||||||
left((teeth-1)*pitch/2) {
|
xrot(90) {
|
||||||
linear_extrude(height = thickness, center = true, convexity = 10) {
|
linear_extrude(height=thickness, center=true, convexity=teeth*2) {
|
||||||
for (i = [0:1:teeth-1] ) {
|
rack2d(
|
||||||
translate([i*pitch,0,0]) {
|
pitch = pitch,
|
||||||
polygon(
|
teeth = teeth,
|
||||||
points=[
|
base = base,
|
||||||
[-1/2 * pitch - 0.01, a-height],
|
pressure_angle = pressure_angle,
|
||||||
[-1/2 * pitch, -d],
|
backlash = backlash,
|
||||||
[-1/4 * pitch + backlash - xd, -d],
|
clearance = clearance
|
||||||
[-1/4 * pitch + backlash + xa, a],
|
);
|
||||||
[ 1/4 * pitch - backlash - xa, a],
|
|
||||||
[ 1/4 * pitch - backlash + xd, -d],
|
|
||||||
[ 1/2 * pitch, -d],
|
|
||||||
[ 1/2 * pitch + 0.01, a-height],
|
|
||||||
]
|
|
||||||
);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
children();
|
children();
|
||||||
|
@ -674,6 +875,47 @@ module rack(
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
|
function rack(
|
||||||
|
pitch = 5,
|
||||||
|
teeth = 20,
|
||||||
|
thickness = 5,
|
||||||
|
base = 10,
|
||||||
|
pressure_angle = 28,
|
||||||
|
backlash = 0.0,
|
||||||
|
clearance = undef,
|
||||||
|
anchor = CENTER,
|
||||||
|
spin = 0,
|
||||||
|
orient = UP
|
||||||
|
) =
|
||||||
|
let(
|
||||||
|
a = adendum(pitch),
|
||||||
|
d = dedendum(pitch, clearance),
|
||||||
|
l = teeth * pitch,
|
||||||
|
anchors = [
|
||||||
|
anchorpt("adendum", [0,0,a], BACK),
|
||||||
|
anchorpt("adendum-left", [-l/2,0,a], LEFT),
|
||||||
|
anchorpt("adendum-right", [ l/2,0,a], RIGHT),
|
||||||
|
anchorpt("adendum-front", [0,-thickness/2,a], DOWN),
|
||||||
|
anchorpt("adendum-back", [0, thickness/2,a], UP),
|
||||||
|
anchorpt("dedendum", [0,0,-d], BACK),
|
||||||
|
anchorpt("dedendum-left", [-l/2,0,-d], LEFT),
|
||||||
|
anchorpt("dedendum-right", [ l/2,0,-d], RIGHT),
|
||||||
|
anchorpt("dedendum-front", [0,-thickness/2,-d], DOWN),
|
||||||
|
anchorpt("dedendum-back", [0, thickness/2,-d], UP),
|
||||||
|
],
|
||||||
|
path = rack2d(
|
||||||
|
pitch = pitch,
|
||||||
|
teeth = teeth,
|
||||||
|
base = base,
|
||||||
|
pressure_angle = pressure_angle,
|
||||||
|
backlash = backlash,
|
||||||
|
clearance = clearance
|
||||||
|
),
|
||||||
|
vnf = linear_sweep(path, height=thickness, anchor="origin", orient=FWD)
|
||||||
|
) reorient(anchor,spin,orient, size=[l, thickness, 2*abs(a-base)], anchors=anchors, p=vnf);
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
// vim: expandtab tabstop=4 shiftwidth=4 softtabstop=4 nowrap
|
// vim: expandtab tabstop=4 shiftwidth=4 softtabstop=4 nowrap
|
||||||
|
|
||||||
|
|
|
@ -8,7 +8,7 @@
|
||||||
//////////////////////////////////////////////////////////////////////
|
//////////////////////////////////////////////////////////////////////
|
||||||
|
|
||||||
|
|
||||||
BOSL_VERSION = [2,0,452];
|
BOSL_VERSION = [2,0,453];
|
||||||
|
|
||||||
|
|
||||||
// Section: BOSL Library Version Functions
|
// Section: BOSL Library Version Functions
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||||||
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