misc gear fixes

This commit is contained in:
Adrian Mariano 2023-07-31 17:51:51 -04:00
parent 804d57bf29
commit 792277a3fa

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@ -52,7 +52,7 @@ function _inherit_gear_pitch(fname,pitch,circ_pitch,diam_pitch,mod,warn=true) =
pitch_value(diam_pitch=diam_pitch) :
mod != undef?
assert(is_finite(mod) && mod>0)
pitch_value(mod) :
circular_pitch(mod=mod) :
$parent_gear_pitch != undef? $parent_gear_pitch :
5;
@ -348,7 +348,7 @@ function _inherit_gear_thickness(thickness) =
// ps2=auto_profile_shift(teeth=teeth1);
// mod=3;
// d = gear_dist(mod=mod, teeth1=teeth1, teeth2=teeth2,profile_shift1=ps1, profile_shift2=ps2,helical=0, internal2=true);
// ang = 1;
// ang = .5;
// color_overlaps(){
// ring_gear2d(mod=mod, teeth=teeth2,profile_shift=ps2,helical=0,backing=4);
// zrot(ang*360/teeth2)
@ -417,7 +417,7 @@ function _inherit_gear_thickness(thickness) =
// diam_pitch = The diametral pitch, or number of teeth per inch of pitch diameter. Note that the diametral pitch is a completely different thing than the pitch diameter.
// mod = The metric module/modulus of the gear, or mm of pitch diameter per tooth.
// internal = If true, create a mask for difference()ing from something else.
// profile_shift = Profile shift factor x.
// profile_shift = Profile shift factor x. Default: "auto"
// herringbone = If true, and helical is set, creates a herringbone gear.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#subsection-anchor). Default: `CENTER`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#subsection-spin). Default: `0`
@ -551,7 +551,7 @@ function spur_gear(
helical,
interior,
internal,
profile_shift,
profile_shift="auto",
slices,
herringbone=false,
diam_pitch,
@ -569,7 +569,7 @@ function spur_gear(
PA = _inherit_gear_pa(pressure_angle),
helical = _inherit_gear_helical(helical, invert=!internal),
thickness = _inherit_gear_thickness(thickness),
profile_shift = default(profile_shift, auto_profile_shift(teeth,PA,helical))
profile_shift = auto_profile_shift(teeth,PA,helical,profile_shift=profile_shift)
)
assert(is_integer(teeth) && teeth>3)
assert(is_finite(thickness) && thickness>0)
@ -626,7 +626,7 @@ module spur_gear(
helical,
internal,
interior,
profile_shift,
profile_shift="auto",
slices,
herringbone=false,
pitch,
@ -643,7 +643,7 @@ module spur_gear(
PA = _inherit_gear_pa(pressure_angle);
helical = _inherit_gear_helical(helical, invert=!internal);
thickness = _inherit_gear_thickness(thickness);
profile_shift = default(profile_shift, auto_profile_shift(teeth,PA,helical));
profile_shift = auto_profile_shift(teeth,PA,helical,profile_shift=profile_shift);
checks =
assert(is_integer(teeth) && teeth>3)
assert(is_finite(thickness) && thickness>0)
@ -747,7 +747,7 @@ module spur_gear(
// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle
// helical = The angle of the rack teeth away from perpendicular to the gear axis of rotation. Stretches out the tooth shapes. Used to match helical spur gear pinions. Default: 0
// internal = If true, create a mask for difference()ing from something else.
// profile_shift = Profile shift factor x.
// profile_shift = Profile shift factor x. Default: "auto"
// shaft_diam = If given, the diameter of the central shaft hole.
// diam_pitch = The diametral pitch, or number of teeth per inch of pitch diameter. Note that the diametral pitch is a completely different thing than the pitch diameter.
// mod = The metric module/modulus of the gear, or mm of pitch diameter per tooth.
@ -819,7 +819,7 @@ function spur_gear2d(
backlash = 0.0,
internal,
interior,
profile_shift,
profile_shift="auto",
helical,
shaft_diam = 0,
pitch,
@ -834,7 +834,7 @@ function spur_gear2d(
circ_pitch = _inherit_gear_pitch("spur_gear2d()", pitch, circ_pitch, diam_pitch, mod),
PA = _inherit_gear_pa(pressure_angle),
helical = _inherit_gear_helical(helical, invert=!internal),
profile_shift = default(profile_shift, auto_profile_shift(teeth,PA,helical))
profile_shift = auto_profile_shift(teeth,PA,helical,profile_shift=profile_shift)
)
assert(is_integer(teeth) && teeth>3)
assert(is_finite(shaft_diam) && shaft_diam>=0)
@ -842,7 +842,6 @@ function spur_gear2d(
assert(is_finite(PA) && PA>=0 && PA<90, "Bad pressure_angle value.")
assert(clearance==undef || (is_finite(clearance) && clearance>=0))
assert(is_finite(backlash) && backlash>=0)
assert(is_finite(profile_shift) && abs(profile_shift)<1)
assert(is_finite(helical) && abs(helical)<90)
assert(is_finite(gear_spin))
let(
@ -879,7 +878,7 @@ module spur_gear2d(
backlash = 0.0,
internal,
interior,
profile_shift,
profile_shift="auto",
helical,
shaft_diam = 0,
pitch,
@ -894,7 +893,7 @@ module spur_gear2d(
circ_pitch = _inherit_gear_pitch("spur_gear2d()", pitch, circ_pitch, diam_pitch, mod);
PA = _inherit_gear_pa(pressure_angle);
helical = _inherit_gear_helical(helical, invert=!internal);
profile_shift = default(profile_shift, auto_profile_shift(teeth,PA,helical));
profile_shift = auto_profile_shift(teeth,PA,helical,profile_shift=profile_shift);
checks =
assert(is_integer(teeth) && teeth>3)
assert(is_finite(shaft_diam) && shaft_diam>=0)
@ -902,7 +901,6 @@ module spur_gear2d(
assert(is_finite(PA) && PA>=0 && PA<90, "Bad pressure_angle value.")
assert(clearance==undef || (is_finite(clearance) && clearance>=0))
assert(is_finite(backlash) && backlash>=0)
assert(is_finite(profile_shift) && abs(profile_shift)<1)
assert(is_finite(helical) && abs(helical)<90)
assert(is_finite(gear_spin));
rgn = spur_gear2d(
@ -961,7 +959,7 @@ module spur_gear2d(
// pressure_angle = Controls how straight or bulged the tooth sides are. In degrees.
// helical = The angle of the rack teeth away from perpendicular to the gear axis of rotation. Stretches out the tooth shapes. Used to match helical spur gear pinions. Default: 0
// herringbone = If true, and helical is set, creates a herringbone gear.
// profile_shift = Profile shift factor x for tooth profile.
// profile_shift = Profile shift factor x for tooth profile. Default: 0
// clearance = Gap between top of a tooth on one gear and bottom of valley on a meshing gear (in millimeters)
// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle
// diam_pitch = The diametral pitch, or number of teeth per inch of pitch diameter. Note that the diametral pitch is a completely different thing than the pitch diameter.
@ -990,7 +988,7 @@ module ring_gear(
pressure_angle,
helical,
herringbone = false,
profile_shift,
profile_shift=0,
clearance,
backlash = 0.0,
or,od,width,
@ -1007,8 +1005,8 @@ module ring_gear(
PA = _inherit_gear_pa(pressure_angle);
helical = _inherit_gear_helical(helical);
thickness = _inherit_gear_thickness(thickness);
profile_shift = default(profile_shift, auto_profile_shift(teeth,PA,helical));
checks =
assert(is_finite(profile_shift), "Profile shift for ring gears must be numerical")
assert(is_integer(teeth) && teeth>3)
assert(is_finite(thickness) && thickness>0)
assert(is_finite(PA) && PA>=0 && PA<90, "Bad pressure_angle value.")
@ -1107,7 +1105,7 @@ module ring_gear(
// width = width of the ring, measuring from tips of teeth to outside of ring.
// helical = The angle of the rack teeth away from perpendicular to the gear axis of rotation. Stretches out the tooth shapes. Used to match helical spur gear pinions. Default: 0
// pressure_angle = Controls how straight or bulged the tooth sides are. In degrees.
// profile_shift = Profile shift factor x for tooth profile.
// profile_shift = Profile shift factor x for tooth profile. Default: 0
// clearance = Gap between top of a tooth on one gear and bottom of valley on a meshing gear (in millimeters)
// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle
// diam_pitch = The diametral pitch, or number of teeth per inch of pitch diameter. Note that the diametral pitch is a completely different thing than the pitch diameter.
@ -1136,7 +1134,7 @@ module ring_gear2d(
backing,
pressure_angle,
helical,
profile_shift,
profile_shift=0,
clearance,
backlash = 0.0,
or,od,width,
@ -1150,15 +1148,14 @@ module ring_gear2d(
circ_pitch = _inherit_gear_pitch("ring_gear2d()",pitch, circ_pitch, diam_pitch, mod);
PA = _inherit_gear_pa(pressure_angle);
helical = _inherit_gear_helical(helical);
profile_shift = default(profile_shift, auto_profile_shift(teeth,PA,helical));
checks =
assert(is_finite(profile_shift), "Profile shift for ring gears must be numerical")
assert(is_integer(teeth) && teeth>3)
assert(num_defined([backing,or,od,width])<=1, "Cannot define more than one of backing, or, od and width")
assert(is_finite(PA) && PA>=0 && PA<90, "Bad pressure_angle value.")
assert(is_finite(helical) && abs(helical)<90)
assert(clearance==undef || (is_finite(clearance) && clearance>=0))
assert(is_finite(backlash) && backlash>=0)
assert(is_finite(profile_shift) && abs(profile_shift)<1)
assert(is_finite(gear_spin));
pr = pitch_radius(circ_pitch, teeth, helical=helical);
ar = outer_radius(circ_pitch, teeth, helical=helical, profile_shift=profile_shift, internal=true);
@ -1232,7 +1229,7 @@ module ring_gear2d(
// mod = The metric module/modulus of the gear, or mm of pitch diameter per tooth.
// diam_pitch = The diametral pitch, or number of teeth per inch of pitch diameter. Note that the diametral pitch is a completely different thing than the pitch diameter.
// helical = The angle of the rack teeth away from perpendicular to the rack length. Used to match helical spur gear pinions. Default: 0
// profile_shift = Profile shift factor x.
// profile_shift = Profile shift factor x. Default: 0
// pressure_angle = Controls how straight or bulged the tooth sides are. In degrees. Default: 20
// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle. Default: 0
// clearance = Clearance gap at the bottom of the inter-tooth valleys. Default: module/4
@ -1473,7 +1470,7 @@ function rack(
// diam_pitch = The diametral pitch, or number of teeth per inch of pitch diameter. Note that the diametral pitch is a completely different thing than the pitch diameter.
// helical = The angle of the rack teeth away from perpendicular to the rack length. Stretches out the tooth shapes. Used to match helical spur gear pinions. Default: 0
// pressure_angle = Controls how straight or bulged the tooth sides are. In degrees.
// profile_shift = Profile shift factor x for tooth shape.
// profile_shift = Profile shift factor x for tooth shape. Default: 0
// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle
// clearance = Clearance gap at the bottom of the inter-tooth valleys. Default: module/4
// gear_travel = The distance the rack should be moved by linearly. Default: 0
@ -1966,7 +1963,7 @@ module bevel_gear(
// pressure_angle = Controls how straight or bulged the tooth sides are. In degrees. Default: 20
// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle. Default: 0
// clearance = Clearance gap at the bottom of the inter-tooth valleys. Default: module/4
// profile_shift = Profile shift factor x.
// profile_shift = Profile shift factor x. Default: "auto"
// diam_pitch = The diametral pitch, or number of teeth per inch of pitch diameter. Note that the diametral pitch is a completely different thing than the pitch diameter.
// mod = The metric module/modulus of the gear, or mm of pitch diameter per tooth.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#subsection-anchor). Default: `CENTER`
@ -1990,7 +1987,7 @@ function worm(
pressure_angle,
backlash=0,
clearance,
profile_shift,
profile_shift="auto",
diam_pitch,
mod,
pitch,
@ -2075,7 +2072,7 @@ module worm(
) {
circ_pitch = _inherit_gear_pitch("worm()", pitch, circ_pitch, diam_pitch, mod);
PA = _inherit_gear_pa(pressure_angle);
profile_shift = default(profile_shift, auto_profile_shift(starts,PA));
profile_shift = auto_profile_shift(starts,PA,profile_shift=profile_shift);
checks =
assert(is_integer(starts) && starts>0)
assert(is_finite(l) && l>0)
@ -2130,7 +2127,7 @@ module worm(
// pressure_angle = Controls how straight or bulged the tooth sides are. In degrees. Default: 20
// backlash = Gap between two meshing teeth, in the direction along the circumference of the pitch circle. Default: 0
// clearance = Clearance gap at the bottom of the inter-tooth valleys. Default: module/4
// profile_shift = Profile shift factor x.
// profile_shift = Profile shift factor x. Default: "auto"
// slices = The number of vertical slices to refine the curve of the worm throat. Default: 10
// diam_pitch = The diametral pitch, or number of teeth per inch of pitch diameter. Note that the diametral pitch is a completely different thing than the pitch diameter.
// mod = The metric module/modulus of the gear, or mm of pitch diameter per tooth.
@ -2189,7 +2186,7 @@ function worm_gear(
pressure_angle,
backlash = 0,
clearance,
profile_shift,
profile_shift="auto",
slices = 10,
gear_spin=0,
pitch,
@ -2203,7 +2200,7 @@ function worm_gear(
let(
circ_pitch = _inherit_gear_pitch("worm_gear()", pitch, circ_pitch, diam_pitch, mod),
PA = _inherit_gear_pa(pressure_angle),
profile_shift = default(profile_shift, auto_profile_shift(teeth,PA))
profile_shift = auto_profile_shift(teeth,PA,profile_shift=profile_shift)
)
assert(is_integer(teeth) && teeth>10)
assert(is_finite(worm_diam) && worm_diam>0)
@ -2301,7 +2298,7 @@ module worm_gear(
backlash = 0,
shaft_diam = 0,
slices = 10,
profile_shift,
profile_shift="auto",
gear_spin=0,
pitch,
diam_pitch,
@ -2312,7 +2309,7 @@ module worm_gear(
) {
circ_pitch = _inherit_gear_pitch("worm_gear()", pitch, circ_pitch, diam_pitch, mod);
PA = _inherit_gear_pa(pressure_angle);
profile_shift = default(profile_shift, auto_profile_shift(teeth,PA));
profile_shift = auto_profile_shift(teeth,PA,profile_shift=profile_shift);
checks =
assert(is_integer(teeth) && teeth>10)
assert(is_finite(worm_diam) && worm_diam>0)
@ -2565,7 +2562,7 @@ function _gear_tooth_profile(
// Function: circular_pitch()
// Synopsis: Returns tooth density expressed as "circular pitch".
// Topics: Gears, Parts
// See Also: spur_gear(), diametral_pitch(), circular_pitch(), pitch_value(), module_value()
// See Also: spur_gear(), diametral_pitch(), circular_pitch(), module_value()
// Usage:
// circ_pitch = circular_pitch(circ_pitch);
// circ_pitch = circular_pitch(mod=);
@ -2610,7 +2607,7 @@ function circular_pitch(circ_pitch, mod, pitch, diam_pitch) =
// Function: diametral_pitch()
// Synopsis: Returns tooth density expressed as "diametral pitch".
// Topics: Gears, Parts
// See Also: spur_gear(), diametral_pitch(), circular_pitch(), pitch_value(), module_value()
// See Also: spur_gear(), diametral_pitch(), circular_pitch(), module_value()
// Usage:
// dp = diametral_pitch(circ_pitch);
// dp = diametral_pitch(mod=);
@ -2634,37 +2631,10 @@ function diametral_pitch(circ_pitch, mod, pitch, diam_pitch) =
PI / circ_pitch / INCH;
// Function: pitch_value()
// Synopsis: Returns tooth density expressed as "circular pitch".
// Topics: Gears, Parts
// See Also: spur_gear(), diametral_pitch(), circular_pitch(), pitch_value(), module_value()
// Usage:
// circ_pitch = pitch_value(mod);
// circ_pitch = pitch_value(circ_pitch=);
// circ_pitch = pitch_value(diam_pitch=);
// Description:
// Returns the circular pitch in mm from module/modulus or diametral pitch.
// The circular pitch of a gear is the number of millimeters per tooth around the pitch radius circle.
// For example, if you have a gear with 11 teeth, and the pitch diameter is 35mm, then the circumfrence
// of the pitch diameter is really close to 110mm, making the circular pitch of that gear about 10mm/tooth.
// Arguments:
// mod = The metric module/modulus of the gear, or mm of pitch diameter per tooth.
// ---
// circ_pitch = The circular pitch, or distance in mm between teeth around the pitch circle.
// diam_pitch = The diametral pitch, or number of teeth per inch of pitch diameter. Note that the diametral pitch is a completely different thing than the pitch diameter.
// Example:
// circ_pitch = pitch_value(mod=2);
// circ_pitch = pitch_value(circ_pitch=8);
// circ_pitch = pitch_value(diam_pitch=16);
function pitch_value(mod, circ_pitch, diam_pitch) =
circular_pitch(mod=mod, circ_pitch=circ_pitch, diam_pitch=diam_pitch);
// Function: module_value()
// Synopsis: Returns tooth density expressed as "module" or "modulus" in millimeters.
// Topics: Gears, Parts
// See Also: spur_gear(), diametral_pitch(), circular_pitch(), pitch_value(), module_value()
// See Also: spur_gear(), diametral_pitch(), circular_pitch(), module_value()
// Usage:
// mod = module_value(circ_pitch);
// mod = module_value(mod=);
@ -2698,7 +2668,7 @@ function module_value(circ_pitch, mod, pitch, diam_pitch) =
/// The height of the top of a gear tooth above the pitch radius circle.
/// Arguments:
/// circ_pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
/// profile_shift = Profile shift factor x.
/// profile_shift = Profile shift factor x. Default: 0
/// ---
/// diam_pitch = The diametral pitch, or number of teeth per inch of pitch diameter. Note that the diametral pitch is a completely different thing than the pitch diameter.
/// mod = The metric module/modulus of the gear, or mm of pitch diameter per tooth.
@ -2737,7 +2707,7 @@ function _adendum(
/// Arguments:
/// circ_pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
/// clearance = If given, sets the clearance between meshing teeth. Default: module/4
/// profile_shift = Profile shift factor x.
/// profile_shift = Profile shift factor x. Default: 0
/// ---
/// diam_pitch = The diametral pitch, or number of teeth per inch of pitch diameter. Note that the diametral pitch is a completely different thing than the pitch diameter.
/// mod = The metric module/modulus of the gear, or mm of pitch diameter per tooth.
@ -2771,7 +2741,7 @@ function _dedendum(
// Function: pitch_radius()
// Synopsis: Returns the pitch radius for a gear.
// Topics: Gears, Parts
// See Also: spur_gear(), diametral_pitch(), circular_pitch(), pitch_value(), module_value(), outer_radius()
// See Also: spur_gear(), diametral_pitch(), circular_pitch(), module_value(), outer_radius()
// Usage:
// pr = pitch_radius(pitch, teeth, [helical]);
// pr = pitch_radius(mod=, teeth=, [helical=]);
@ -2820,19 +2790,21 @@ function pitch_radius(
// Function: outer_radius()
// Synopsis: Returns the outer radius for a gear.
// Topics: Gears, Parts
// See Also: spur_gear(), diametral_pitch(), circular_pitch(), pitch_value(), module_value(), pitch_radius(), outer_radius()
// See Also: spur_gear(), diametral_pitch(), circular_pitch(), module_value(), pitch_radius(), outer_radius()
// Usage:
// or = outer_radius(circ_pitch, teeth, [helical=], [clearance=], [internal=], [profile_shift=]);
// or = outer_radius(mod=, teeth=, [helical=], [clearance=], [internal=], [profile_shift=]);
// or = outer_radius(diam_pitch=, teeth=, [helical=], [clearance=], [internal=], [profile_shift=]);
// Description:
// Calculates the outer radius for the gear. The gear fits entirely within a cylinder of this radius.
// Calculates the outer radius for the gear. The gear fits entirely within a cylinder of this radius, unless
// it has been strongly profile shifted, in which case it will be undersized due to tip clipping.
// This function does not apply automatic profile shifting.
// Arguments:
// circ_pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
// teeth = The number of teeth on the gear.
// ---
// clearance = If given, sets the clearance between meshing teeth. Default: module/4
// profile_shift = Profile shift factor x.
// profile_shift = Profile shift factor x. Default: 0
// internal = If true, calculate for an internal gear.
// helical = The helical angle (from vertical) of the teeth on the gear. Default: 0
// mod = The metric module/modulus of the gear, or mm of pitch diameter per tooth.
@ -2872,7 +2844,7 @@ function outer_radius(circ_pitch, teeth, clearance, internal=false, helical=0, p
/// rr = _root_radius(mod=, teeth=, [helical=], [clearance=], [internal=], [profile_shift=]);
/// Topics: Gears
/// Description:
/// Calculates the root radius for the gear, at the base of the dedendum.
/// Calculates the root radius for the gear, at the base of the dedendum. Does not apply auto profile shifting.
/// Arguments:
/// circ_pitch = The circular pitch, or distance between teeth around the pitch circle, in mm.
/// teeth = The number of teeth on the gear.
@ -2880,7 +2852,7 @@ function outer_radius(circ_pitch, teeth, clearance, internal=false, helical=0, p
/// clearance = If given, sets the clearance between meshing teeth. Default: module/4
/// internal = If true, calculate for an internal gear.
/// helical = The helical angle (from vertical) of the teeth on the gear. Default: 0
/// profile_shift = Profile shift factor x.
/// profile_shift = Profile shift factor x. Default:0
/// mod = The metric module/modulus of the gear, or mm of pitch diameter per tooth.
/// diam_pitch = The diametral pitch, or number of teeth per inch of pitch diameter. Note that the diametral pitch is a completely different thing than the pitch diameter.
/// Example:
@ -3099,8 +3071,8 @@ function gear_dist(
assert(!(internal1 || internal2) || (teeth1>0 && teeth2>0), "Cannot specify internal gear with rack (zero tooth count)")
let(
mod = module_value(mod=mod,circ_pitch= circ_pitch, diam_pitch=diam_pitch),
profile_shift1 = default(profile_shift1, auto_profile_shift(teeth1,pressure_angle,helical)),
profile_shift2 = default(profile_shift2, auto_profile_shift(teeth2,pressure_angle,helical)),
profile_shift1 = auto_profile_shift(teeth1,pressure_angle,helical,profile_shift=profile_shift1),
profile_shift2 = auto_profile_shift(teeth2,pressure_angle,helical,profile_shift=profile_shift2),
teeth1 = internal2? -teeth1 : teeth1,
teeth2 = internal1? -teeth2 : teeth2
)
@ -3181,8 +3153,8 @@ function gear_dist_skew(teeth1,teeth2,helical1,helical2,profile_shift1,profile_s
assert(all_nonnegative([teeth1,teeth2]),"Must give nonnegative values for teeth")
assert(teeth1>0 || teeth2>0, "One of the teeth counts must be nonzero")
let(
profile_shift1 = default(profile_shift1, auto_profile_shift(teeth1,pressure_angle,helical1)),
profile_shift2 = default(profile_shift2, auto_profile_shift(teeth2,pressure_angle,helical2)),
profile_shift1 = auto_profile_shift(teeth1,pressure_angle,helical1,profile_shift=profile_shift1),
profile_shift2 = auto_profile_shift(teeth2,pressure_angle,helical2,profile_shift=profile_shift2),
mod = module_value(circ_pitch=circ_pitch, diam_pitch=diam_pitch, mod=mod)
)
teeth1==0 || teeth2==0? pitch_radius(mod=mod, teeth=teeth1+teeth2, helical=teeth1?helical1:helical2) + (profile_shift1+profile_shift2)*mod
@ -3222,8 +3194,8 @@ function gear_skew_angle(teeth1,teeth2,helical1,helical2,profile_shift1,profile_
assert(all_nonnegative([teeth1,teeth2]),"Must give nonnegative values for teeth")
assert(teeth1>0 || teeth2>0, "One of the teeth counts must be nonzero")
let(
profile_shift1 = default(profile_shift1, auto_profile_shift(teeth1,pressure_angle,helical1)),
profile_shift2 = default(profile_shift2, auto_profile_shift(teeth2,pressure_angle,helical2))
profile_shift1 = auto_profile_shift(teeth1,pressure_angle,helical1,profile_shift=profile_shift1),
profile_shift2 = auto_profile_shift(teeth2,pressure_angle,helical2,profile_shift=profile_shift2)
)
profile_shift1==0 && profile_shift2==0 ? helical1+helical2
: teeth1==0 || teeth2==0 ? helical1+helical2
@ -3278,10 +3250,14 @@ function get_profile_shift(desired,circ_pitch,teeth1,teeth2,pressure_angle=20,mo
// helical = helical angle
// ---
// min_teeth = If given, the minimum number of teeth on a gear that has acceptable undercut.
// profile_shift = If numerical then just return this value; if "auto" or not given then compute the automatic profile shift.
function auto_profile_shift(teeth, pressure_angle=20, helical=0, min_teeth) =
teeth==0 ? 0:
let(
function auto_profile_shift(teeth, pressure_angle=20, helical=0, min_teeth, profile_shift) =
assert(is_undef(profile_shift) || is_finite(profile_shift) || profile_shift=="auto", "Profile shift must be \"auto\" or a number")
is_num(profile_shift) ? profile_shift
: teeth==0 ? 0
: let(
pressure_angle=atan(tan(pressure_angle)/cos(helical)),
min_teeth = is_undef(min_teeth)
? 2 / pow(sin(pressure_angle),2)