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fix backlash bug in rack2d() & remove echoes
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1 changed files with 10 additions and 10 deletions
20
gears.scad
20
gears.scad
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@ -1694,7 +1694,7 @@ function rack2d(
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l = teeth * trans_pitch,
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ax = ang_adj_to_opp(trans_pa, adendum),
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dx = dedendum*tan(trans_pa),
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poff = tthick/2 - backlash,
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poff = tthick/2,
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tooth = [
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[-trans_pitch/2, -dedendum],
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if (rounding) each arc(n=4, r=clear, corner=[
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@ -2233,7 +2233,6 @@ module worm(
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assert(is_finite(gear_spin))
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assert(is_finite(profile_shift) && abs(profile_shift)<1);
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helical = asin(starts * circ_pitch / PI / d);
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fda= echo(helical=helical);
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trans_pitch = circ_pitch / cos(helical);
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vnf = worm(
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circ_pitch=circ_pitch,
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@ -2370,7 +2369,6 @@ function worm_gear(
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pr = pitch_radius(circ_pitch, teeth,helical),
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hob_rad = worm_diam / 2 + crowning,
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thickness = worm_gear_thickness(circ_pitch=circ_pitch, teeth=teeth, worm_diam=worm_diam, worm_arc=worm_arc, crowning=crowning, clearance=clearance),
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dfda=echo("------->"),
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tooth_profile = _gear_tooth_profile(
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circ_pitch=circ_pitch,
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teeth=teeth,
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@ -2381,7 +2379,6 @@ function worm_gear(
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profile_shift=profile_shift,
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center=true
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),
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feeg=echo("<----------"),
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tbot = min(column(tooth_profile,1)),
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arcthick = hob_rad * sin(worm_arc/2) * 2,
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twist = sin(helical)*arcthick / (2*PI*pr) * 360,
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@ -2569,8 +2566,6 @@ function _gear_tooth_profile(
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prad = pitch_radius(circ_pitch, teeth, helical=helical),
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brad = _base_radius(circ_pitch, teeth, pressure_angle, helical=helical),
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rrad = _root_radius(circ_pitch, teeth, clearance, helical=helical, profile_shift=profile_shift, internal=internal),
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fgdg= echo(pitchrad=prad,outerrad=arad,rootrad=rrad),
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srad = max(rrad,brad),
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tthick = circ_pitch/PI / cos(helical) * (PI/2 + 2*profile_shift * tan(pressure_angle)) + (internal?backlash:-backlash),
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tang = tthick / prad / 2 * 180 / PI,
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@ -3176,14 +3171,15 @@ function worm_gear_thickness(circ_pitch, teeth, worm_diam, worm_arc=60, crowning
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// 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.
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// circ_pitch = distance between teeth around the pitch circle.
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// pressure_angle = The pressure angle of the gear.
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// backlash = Add extra space to produce a total of 2*backlash between the two gears.
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function worm_dist(d,starts,teeth,mod,profile_shift=0,diam_pitch,circ_pitch,pressure_angle=20) =
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function worm_dist(d,starts,teeth,mod,profile_shift=0,diam_pitch,circ_pitch,pressure_angle=20,backlash=0) =
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let(
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mod = module_value(mod=mod,diam_pitch=diam_pitch,circ_pitch=circ_pitch),
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lead_angle = asin(mod*starts/d),
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pitch_diam = mod*teeth/cos(lead_angle)
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)
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(d+pitch_diam)/2 + profile_shift*mod;
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(d+pitch_diam)/2 + profile_shift*mod + backlash * (cos(lead_angle)+cos(90-lead_angle)) / tan(pressure_angle);
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@ -3333,12 +3329,14 @@ function _working_pressure_angle(teeth1,profile_shift1, teeth2, profile_shift2,
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// mod = The metric module/modulus of the gear, or mm of pitch diameter per tooth.
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// circ_pitch = distance between teeth around the pitch circle.
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// pressure_angle = The pressure angle of the gear.
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// backlash = Add extra space to produce a total of 2*backlash between the two gears.
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// Example(3D,Med,NoAxes,VPT=[-0.302111,3.7924,-9.252],VPR=[55,0,25],VPD=155.556): Non-parallel Helical Gears (without any profile shifting)
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// circ_pitch=5; teeth1=15; teeth2=24; ha1=45; ha2=30; thick=10;
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// d = gear_dist_skew(circ_pitch=circ_pitch, teeth1, teeth2, helical1=ha1, helical2=ha2);
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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(ha1+ha2) spur_gear(circ_pitch, teeth2, helical=ha2, thickness=thick, gear_spin=90-180/teeth2);
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function gear_dist_skew(teeth1,teeth2,helical1,helical2,profile_shift1,profile_shift2,pressure_angle=20, mod, circ_pitch, diam_pitch) =
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function gear_dist_skew(teeth1,teeth2,helical1,helical2,profile_shift1,profile_shift2,pressure_angle=20,
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mod, circ_pitch, diam_pitch, backlash=0) =
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assert(all_nonnegative([teeth1,teeth2]),"Must give nonnegative values for teeth")
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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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@ -3352,7 +3350,9 @@ function gear_dist_skew(teeth1,teeth2,helical1,helical2,profile_shift1,profile_s
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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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mod*(teeth1/2/cos(helical1)+teeth2/2/cos(helical2)+dist_adj);
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mod*(teeth1/2/cos(helical1)+teeth2/2/cos(helical2)+dist_adj)
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+ backlash * (cos(helical1+helical2)) / tan(pressure_angle);
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function _working_normal_pressure_angle_skew(teeth1,profile_shift1,helical1, teeth2, profile_shift2, helical2, pressure_angle) =
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let(
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