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checkpoint gear generation work

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This commit is contained in:
Stewart Allen 2024-07-18 20:13:50 -06:00
commit 156fe593ac
6 changed files with 99 additions and 27 deletions
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48
src/mesh/tool.js
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@ -738,6 +738,8 @@ mesh.tool = class MeshTool {
return out;
}
// returns points array for a polygon
// extrusion and twist is handled in work.js
generateGear(numTeeth, module, pressureAngle) {
// Adapted from: Public Domain Parametric Involute Spur Gear by Leemon Baird, 2011, Leemon@Leemon.com http://www.thingiverse.com/thing:5505
// see also http://grabcad.com/questions/tutorial-how-to-model-involute-gears-in-solidworks-and-show-design-intent
@ -759,6 +761,15 @@ mesh.tool = class MeshTool {
// radius a fraction f up the curved side of the tooth
function q7(f, r, b, r2, t, s) { return q6(b, s, t, (1 - f) * Math.max(b, r) + f * r2); }
function qf(steps, r, b, r2, t, s) {
let res = [];
let step = 1/steps;
for (let f=0; f <= 1; f += step) {
res.push(q7(f, r, b, r2, t, s));
}
return res;
}
// rotate an array of 2d points
function rotate(points_array, angle) {
let answer = [];
@ -780,32 +791,31 @@ mesh.tool = class MeshTool {
let r = p - (c - p) - clearance; // radius of root circle
let t = mm_per_tooth / 2 - backlash / 2; // tooth thickness at pitch circle
let k = -iang(b, p) - t / 2 / p; // angle where involute meets base circle on side of tooth
let points = [ // [x,y] points for a single gear tooth
polar(r, -pi / number_of_teeth),
polar(r, r < b ? k : -pi / number_of_teeth),
...qf(10, r, b, c, k, 1),
...qf(10, r, b, c, k, -1).reverse(),
polar(r, r < b ? -k : pi / number_of_teeth),
// polar(r, 3.142 / number_of_teeth)
];
// here is the magic - a set of [x,y] points to create a single gear tooth
let points = [polar(r, -3.142 / number_of_teeth), polar(r, r < b ? k : -pi / number_of_teeth),
q7(0 / 5, r, b, c, k, 1), q7(1 / 5, r, b, c, k, 1), q7(2 / 5, r, b, c, k, 1), q7(3 / 5, r, b, c, k, 1), q7(4 / 5, r, b, c, k, 1), q7(5 / 5, r, b, c, k, 1),
q7(5 / 5, r, b, c, k, -1), q7(4 / 5, r, b, c, k, -1), q7(3 / 5, r, b, c, k, -1), q7(2 / 5, r, b, c, k, -1), q7(1 / 5, r, b, c, k, -1), q7(0 / 5, r, b, c, k, -1),
polar(r, r < b ? -k : pi / number_of_teeth), polar(r, 3.142 / number_of_teeth)];
let answer = [];
// create every gear tooth by rotating the first tooth
let gear = [];
// create all gear teeth by rotating the first tooth
for (var i = 0; i < number_of_teeth; i++) {
answer = answer.concat(rotate(points, -i * 2 * pi / number_of_teeth));
gear.appendAll(rotate(points, -i * 2 * pi / number_of_teeth));
}
return answer; // returns an array of [x,y] points
return gear; // returns an array of [x,y] points
}
// gear parameter setup
// number_of_teeth = numTeeth; // number of teeth (typically the only parameter to change)
// note: rest of parameters must be unchanged if you want gears to fit.
let mm_per_tooth = 9 * module * pi; // pixel size of one gear tooth (even though it says millimeters, it's pixels) must be same for two gears to fit each other
// let pressure_angle = pressureAngle; // in degrees, determines gear shape, range is 10 to 40 degrees, most common is 20 degrees
let clearance = 4; // freedom between two gear centers
let backlash = 4; // freedom between two gear contact points
let axle_radius = 20; // center hole radius in pixels
let pressure_angle = degrees_to_radians(pressureAngle); // convet degrees to radians
let mm_per_tooth = 2 * module * pi; // mm size of one gear tooth
let clearance = 0; // freedom between two gear centers
let backlash = 0; // freedom between two gear contact points
let pressure_angle = degrees_to_radians(pressureAngle);
console.log({ mm_per_tooth });
return build_gear(numTeeth);
}