clean up gear code
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1 changed files with 18 additions and 20 deletions
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@ -744,6 +744,7 @@ mesh.tool = class MeshTool {
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// Adapted from: Public Domain Parametric Involute Spur Gear by Leemon Baird, 2011, Leemon@Leemon.com http://www.thingiverse.com/thing:5505
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// see also http://grabcad.com/questions/tutorial-how-to-model-involute-gears-in-solidworks-and-show-design-intent
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// const pitch_radius = (numTeeth * module) / 2;
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const pi = Math.PI;
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// degrees to radians
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@ -761,6 +762,7 @@ mesh.tool = class MeshTool {
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// radius a fraction f up the curved side of the tooth
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function q7(f, r, b, r2, t, s) { return q6(b, s, t, (1 - f) * Math.max(b, r) + f * r2); }
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// lerp q7 0..1 with a given # steps
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function qf(steps, r, b, r2, t, s) {
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let res = [];
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let step = 1/steps;
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@ -783,41 +785,37 @@ mesh.tool = class MeshTool {
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return answer;
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}
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// gear parameter setup
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let mm_per_tooth = module * pi; // mm size of one gear tooth
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let clearance = 0.1; // freedom between two gear centers
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let backlash = 0.1; // freedom between two gear contact points
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let pressure_angle = degrees_to_radians(pressureAngle);
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let gear = [];
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// involute gear maker
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function build_gear(number_of_teeth) {
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let p = mm_per_tooth * number_of_teeth / pi / 2; // radius of pitch circle
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{
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let p = mm_per_tooth * numTeeth / pi / 2; // radius of pitch circle
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let c = p + mm_per_tooth / pi - clearance; // radius of outer circle
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let b = p * Math.cos(pressure_angle); // radius of base circle
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let r = p - (c - p) - clearance; // radius of root circle
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let t = mm_per_tooth / 2 - backlash / 2; // tooth thickness at pitch circle
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let k = -iang(b, p) - t / 2 / p; // angle where involute meets base circle on side of tooth
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let points = [ // [x,y] points for a single gear tooth
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polar(r, -pi / number_of_teeth),
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polar(r, r < b ? k : -pi / number_of_teeth),
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polar(r, -pi / numTeeth),
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polar(r, r < b ? k : -pi / numTeeth),
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...qf(10, r, b, c, k, 1),
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...qf(10, r, b, c, k, -1).reverse(),
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polar(r, r < b ? -k : pi / number_of_teeth),
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// polar(r, 3.142 / number_of_teeth)
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polar(r, r < b ? -k : pi / numTeeth),
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// polar(r, 3.142 / numTeeth) // omit b/c overlaps start when rotated
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];
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let gear = [];
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// create all gear teeth by rotating the first tooth
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for (var i = 0; i < number_of_teeth; i++) {
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gear.appendAll(rotate(points, -i * 2 * pi / number_of_teeth));
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for (var i = 0; i < numTeeth; i++) {
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gear.appendAll(rotate(points, -i * 2 * pi / numTeeth));
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}
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return gear; // returns an array of [x,y] points
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}
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// gear parameter setup
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let mm_per_tooth = 2 * module * pi; // mm size of one gear tooth
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let clearance = 0; // freedom between two gear centers
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let backlash = 0; // freedom between two gear contact points
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let pressure_angle = degrees_to_radians(pressureAngle);
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console.log({ mm_per_tooth });
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return build_gear(numTeeth);
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return gear;
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}
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};
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