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fix profile shifting bug, fix examples
This commit is contained in:
Adrian Mariano
parent
b41b75a6c8
commit
c5bae35fa8
1 changed files with 45 additions and 63 deletions
108
gears.scad
108
gears.scad
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@ -483,7 +483,7 @@ function spur_gear(
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PA = _inherit_gear_pa(pressure_angle),
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helical = _inherit_gear_helical(helical, invert=!internal),
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thickness = _inherit_gear_thickness(thickness),
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profile_shift = default(profile_shift, auto_profile_shift(teeth,PA))
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profile_shift = default(profile_shift, auto_profile_shift(teeth,PA,helical))
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)
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assert(is_integer(teeth) && teeth>3)
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assert(is_finite(thickness) && thickness>0)
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@ -557,7 +557,7 @@ module spur_gear(
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PA = _inherit_gear_pa(pressure_angle);
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helical = _inherit_gear_helical(helical, invert=!internal);
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thickness = _inherit_gear_thickness(thickness);
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profile_shift = default(profile_shift, auto_profile_shift(teeth,PA));
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profile_shift = default(profile_shift, auto_profile_shift(teeth,PA,helical));
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checks =
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assert(is_integer(teeth) && teeth>3)
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assert(is_finite(thickness) && thickness>0)
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@ -748,7 +748,7 @@ function spur_gear2d(
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circ_pitch = _inherit_gear_pitch("spur_gear2d()", pitch, circ_pitch, diam_pitch, mod),
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PA = _inherit_gear_pa(pressure_angle),
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helical = _inherit_gear_helical(helical, invert=!internal),
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profile_shift = default(profile_shift, auto_profile_shift(teeth,PA))
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profile_shift = default(profile_shift, auto_profile_shift(teeth,PA,helical))
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)
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assert(is_integer(teeth) && teeth>3)
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assert(is_finite(shaft_diam) && shaft_diam>=0)
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@ -808,7 +808,7 @@ module spur_gear2d(
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circ_pitch = _inherit_gear_pitch("spur_gear2d()", pitch, circ_pitch, diam_pitch, mod);
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PA = _inherit_gear_pa(pressure_angle);
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helical = _inherit_gear_helical(helical, invert=!internal);
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profile_shift = default(profile_shift, auto_profile_shift(teeth,PA));
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profile_shift = default(profile_shift, auto_profile_shift(teeth,PA,helical));
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checks =
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assert(is_integer(teeth) && teeth>3)
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assert(is_finite(shaft_diam) && shaft_diam>=0)
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@ -915,7 +915,7 @@ module ring_gear(
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PA = _inherit_gear_pa(pressure_angle);
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helical = _inherit_gear_helical(helical);
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thickness = _inherit_gear_thickness(thickness);
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profile_shift = default(profile_shift, auto_profile_shift(teeth,PA));
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profile_shift = default(profile_shift, auto_profile_shift(teeth,PA,helical));
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checks =
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assert(is_integer(teeth) && teeth>3)
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assert(is_finite(thickness) && thickness>0)
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@ -1028,7 +1028,7 @@ module ring_gear2d(
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circ_pitch = _inherit_gear_pitch("ring_gear2d()",pitch, circ_pitch, diam_pitch, mod);
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PA = _inherit_gear_pa(pressure_angle);
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helical = _inherit_gear_helical(helical);
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profile_shift = default(profile_shift, auto_profile_shift(teeth,PA));
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profile_shift = default(profile_shift, auto_profile_shift(teeth,PA,helical));
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checks =
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assert(is_integer(teeth) && teeth>3)
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assert(is_finite(backing) && backing>0)
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@ -1106,13 +1106,13 @@ module ring_gear2d(
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// "root-right" = At the base of the teeth, at the right end of the rack.
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// "root-back" = At the base of the teeth, at the back of the rack.
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// "root-front" = At the base of the teeth, at the front of the rack.
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// Example(NoScale,VPR=[60,0,325],VPD=130):
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// Example(NoScales,VPR=[60,0,325],VPD=130):
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// rack(pitch=5, teeth=10, thickness=5, height=5, pressure_angle=20);
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// Example(NoScale,VPT=[0.317577,3.42688,7.83665],VPR=[27.7,0,359.8],VPD=139.921): Rack for Helical Gear
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// Example(NoScales,VPT=[0.317577,3.42688,7.83665],VPR=[27.7,0,359.8],VPD=139.921): Rack for Helical Gear
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// rack(pitch=5, teeth=10, thickness=5, height=5, helical=30);
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// Example(NoScale): Metric Rack, oriented BACK to align with a gear in default orientation
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// Example(NoScales): Metric Rack, oriented BACK to align with a gear in default orientation
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// rack(mod=2, teeth=10, thickness=5, height=5, pressure_angle=14.5,orient=BACK);
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// Example(NoScale,Anim,VPT=[0,0,12],VPD=100,Frames=18): Rack and Pinion
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// Example(NoScales,Anim,VPT=[0,0,12],VPD=100,Frames=18): Rack and Pinion with helical teeth
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// teeth1 = 16; teeth2 = 16;
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// pitch = 5; thick = 5; helical = 30;
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// pr = pitch_radius(pitch, teeth2, helical=helical);
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@ -1122,11 +1122,18 @@ module ring_gear2d(
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// up(pr)
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// spur_gear(
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// pitch, teeth2,
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// thickness=thick,
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// helical=-helical,
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// shaft_diam=5,
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// orient=BACK,
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// gear_spin=180-pos*360/teeth2);
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// thickness = thick,
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// helical = -helical,
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// shaft_diam = 5,
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// orient = BACK,
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// gear_spin = 180-pos*360/teeth2);
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// Example(NoAxes,VPT=[-7.10396,-9.70691,3.50121],VPR=[60.2,0,325],VPD=213.262): Skew axis helical gear and rack engagement.
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// mod=5; teeth=8; helical1=17.5; helical2=22.5;
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// d = gear_dist_skew(mod=mod, teeth, 0, helical1,helical2);
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// rack(mod=mod, teeth=5, height=29,thickness=30, helical=helical2, orient=FWD);
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// color("lightblue")
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// yrot(-helical1-helical2) fwd(d)
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// spur_gear(mod=mod, teeth=teeth, helical=helical1, gear_spin=180/teeth, thickness=30);
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module rack(
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pitch,
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@ -2808,7 +2815,8 @@ function worm_gear_thickness(circ_pitch, teeth, worm_diam, worm_arc=60, crowning
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// Description:
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// Calculate the distance between the centers of two spur gears gears or helical gears with parallel axes,
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// taking into account profile shifting and helical angle. You can give the helical angle as either positive or negative.
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// Set the tooth count to zero to use a rack.
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// If you set one of the tooth counts to zero than that gear will be treated as a rack and the distance returned is the
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// distance between the rack's pitch line and the gear's center.
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// Arguments:
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// teeth1 = Total number of teeth in the first gear. If given 0, we assume this is a rack or worm.
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// teeth2 = Total number of teeth in the second gear. If given 0, we assume this is a rack or worm.
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@ -2865,8 +2873,8 @@ function gear_dist(
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assert(teeth1>0 || teeth2>0, "One of the teeth counts must be nonzero")
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let(
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mod = module_value(mod=mod,circ_pitch= circ_pitch, diam_pitch=diam_pitch),
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profile_shift1 = default(profile_shift1, teeth1>0? auto_profile_shift(teeth1,pressure_angle,helical) : 0),
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profile_shift2 = default(profile_shift2, teeth2>0? auto_profile_shift(teeth2,pressure_angle,helical) : 0)
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profile_shift1 = default(profile_shift1, auto_profile_shift(teeth1,pressure_angle,helical)),
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profile_shift2 = default(profile_shift2, auto_profile_shift(teeth2,pressure_angle,helical))
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)
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teeth1==0 || teeth2==0? pitch_radius(mod=mod, teeth=teeth1+teeth2, helical=helical) + (profile_shift1+profile_shift2)*mod
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:
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@ -2924,7 +2932,11 @@ function gear_dist_skew(teeth1,teeth2,helical1,helical2,profile_shift1,profile_s
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let(
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profile_shift1 = default(profile_shift1, auto_profile_shift(teeth1,pressure_angle,helical1)),
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profile_shift2 = default(profile_shift2, auto_profile_shift(teeth2,pressure_angle,helical2)),
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mod = module_value(circ_pitch=circ_pitch, diam_pitch=diam_pitch, mod=mod),
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mod = module_value(circ_pitch=circ_pitch, diam_pitch=diam_pitch, mod=mod)
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)
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teeth1==0 || teeth2==0? pitch_radius(mod=mod, teeth=teeth1+teeth2, helical=teeth1?helical1:helical2) + (profile_shift1+profile_shift2)*mod
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:
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let(
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pa_normal_eff = _working_normal_pressure_angle_skew(teeth1,profile_shift1,helical1,teeth2,profile_shift2,helical2,pressure_angle),
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dist_adj = 0.5*(teeth1/cos(helical1)^3+teeth2/cos(helical2)^3)*(cos(pressure_angle)/cos(pa_normal_eff)-1)
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)
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@ -2943,45 +2955,17 @@ function _working_normal_pressure_angle_skew(teeth1,profile_shift1,helical1, tee
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// Usage:
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// ang = gear_skew_angle(mod=|diam_pitch=|circ_pitch=, teeth1, teeth2, helical1, helical2, [profile_shift1], [profile_shift2], [pressure_angle=]
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// Description:
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// Compute the correct skew angle between the axes of two profile shifted helical gears. When profile shifting is zero
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// this angle is simply the sum of the helical angles of the two gears.
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// Example:
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// circ_pitch=5; teeth1=5; teeth2=7; ha1=45; ha2=30; thick=10;
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/*
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circ_pitch=5; teeth1=10; teeth2=14; ha1=45; ha2=30; thick=10;
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d = .4+gear_dist_skew(circ_pitch=circ_pitch, teeth1, teeth2, helical1=ha1, helical2=ha2);//,profile_shift1=0,profile_shift2=0)+2;
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d0 = gear_dist_skew(circ_pitch=circ_pitch, teeth1, teeth2, helical1=ha1, helical2=ha2,profile_shift1=0,profile_shift2=0);
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echo(d=d,d0);
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ang = gear_skew_angle(circ_pitch=circ_pitch, teeth1, teeth2, helical1=ha1, helical2=ha2);
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echo(ang=ang);
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color_overlaps()
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{
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// left(d/2) spur_gear(circ_pitch, teeth1, helical=ha1, thickness=thick, gear_spin=-90);
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// right(d/2) xrot(ang) spur_gear(circ_pitch, teeth2, helical=ha2, thickness=thick, gear_spin=90-180/teeth2);
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left(d/2) spur_gear(circ_pitch, teeth1, helical=ha1, thickness=thick);
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right(d/2) xrot(ang) spur_gear(circ_pitch, teeth2, helical=ha2, thickness=thick,gear_spin=180/teeth2);
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}
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*/
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/*
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mod=3; teeth1=15; ha1=20; ps1=0.4;
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teeth2=24; ha2=30; ps2=0.2;
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thick=20;
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d = gear_dist_skew(mod=mod, teeth1, teeth2, ha1, ha2, ps1,ps2);
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echo(d=d);
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ang = gear_skew_angle(mod=mod, teeth1, teeth2, ha1, ha2, ps1, ps2);
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echo(ang=ang);
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color_overlaps(){
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left(d/2) spur_gear(mod=mod, teeth=teeth1, helical=ha1, thickness=thick, gear_spin=-90,profile_shift=ps1);
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right(d/2) xrot(ang) spur_gear(mod=mod, teeth=teeth2, helical=ha2, thickness=thick, gear_spin=90-180/teeth2,profile_shift=ps2);
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}
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*/
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// Compute the correct skew angle between the axes of two profile shifted helical gears. When profile shifting is zero, or when one of
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// the gears is a rack, this angle is simply the sum of the helical angles of the two gears. But with profile shifted gears, a small
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// correction to the skew angle is needed for proper meshing.
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// Example(Med,NoAxes,VPT=[-2.62091,2.01048,-1.31405],VPR=[55,0,25],VPD=74.4017): These gears are auto profile shifted and as a result, do not mesh at the sum of their helical angles, but at 2.5 degrees more.
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// circ_pitch=5; teeth1=12; teeth2=7; ha1=25; ha2=30; thick=10;
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// d = gear_dist_skew(circ_pitch=circ_pitch, teeth1, teeth2, ha1, ha2);
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// ang = gear_skew_angle(circ_pitch=circ_pitch, teeth1, teeth2, helical1=ha1, helical2=ha2); // Returns 57.7
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// left(d/2)
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// spur_gear(circ_pitch, teeth1, helical=ha1, thickness=thick, gear_spin=-90);
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// right(d/2) color("lightblue")
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// xrot(ang) spur_gear(circ_pitch, teeth2, helical=ha2, thickness=thick, gear_spin=90-180/teeth2);
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function gear_skew_angle(teeth1,teeth2,helical1,helical2,profile_shift1,profile_shift2,pressure_angle=20, mod, circ_pitch, diam_pitch) =
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assert(all_nonnegative([teeth1,teeth2]),"Must give nonnegative values for teeth")
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@ -2989,15 +2973,13 @@ function gear_skew_angle(teeth1,teeth2,helical1,helical2,profile_shift1,profile_
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let(
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profile_shift1 = default(profile_shift1, auto_profile_shift(teeth1,pressure_angle,helical1)),
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profile_shift2 = default(profile_shift2, auto_profile_shift(teeth2,pressure_angle,helical2))
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,fe=echo(ingsaps=profile_shift1,profile_shift2)
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)
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// profile_shift1==0 && profile_shift2==0 ? helical1+helical2
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// :
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let(
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profile_shift1==0 && profile_shift2==0 ? helical1+helical2
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: teeth1==0 || teeth2==0 ? helical1+helical2
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: let(
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mod = module_value(mod=mod, circ_pitch=circ_pitch, diam_pitch=diam_pitch),
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a = gear_dist_skew(mod=mod,teeth1,teeth2,helical1,helical2,profile_shift1,profile_shift2,pressure_angle=pressure_angle),
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b = gear_dist_skew(mod=mod,teeth1,teeth2,helical1,helical2,0,0,pressure_angle=pressure_angle),
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fdase= echo(a=a,b=b),
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d1 = 2*pitch_radius(mod=mod,teeth=teeth1,helical=helical1),
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d2 = 2*pitch_radius(mod=mod,teeth=teeth2,helical=helical2),
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dw1 = 2*a*d1/(d1+d2),
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