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Signed-off-by: Jess Frazelle <github@jessfraz.com>
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,66 +1,112 @@ | ||
| const part001 = startSketchAt([0.0000000000, 5.0000000000]) | ||
| |> line([0.4900857016, -0.0240763666], %) | ||
| |> line([0.6804562304, 0.9087880491], %) | ||
| |> line([0.5711661314, -0.1430696680], %) | ||
| |> line([0.1717090983, -1.1222443518], %) | ||
| |> line([0.4435665223, -0.2097913408], %) | ||
| |> line([0.9764377140, 0.5792113521], %) | ||
| |> line([0.4729383069, -0.3507549536], %) | ||
| |> line([-0.2708257990, -1.1025288142], %) | ||
| |> line([0.3295183609, -0.3635674851], %) | ||
| |> line([1.1237654070, 0.1614549773], %) | ||
| |> line([0.3027099123, -0.5050409772], %) | ||
| |> line([-0.6721299235, -0.9149632591], %) | ||
| |> line([0.1653040161, -0.4619937756], %) | ||
| |> line([1.1000100038, -0.2808814542], %) | ||
| |> line([0.0863966776, -0.5824390901], %) | ||
| |> line([-0.9711083600, -0.5881028420], %) | ||
| |> line([-0.0240763666, -0.4900857016], %) | ||
| |> line([0.9087880491, -0.6804562304], %) | ||
| |> line([-0.1430696680, -0.5711661314], %) | ||
| |> line([-1.1222443518, -0.1717090983], %) | ||
| |> line([-0.2097913408, -0.4435665223], %) | ||
| |> line([0.5792113521, -0.9764377140], %) | ||
| |> line([-0.3507549536, -0.4729383069], %) | ||
| |> line([-1.1025288142, 0.2708257990], %) | ||
| |> line([-0.3635674851, -0.3295183609], %) | ||
| |> line([0.1614549773, -1.1237654070], %) | ||
| |> line([-0.5050409772, -0.3027099123], %) | ||
| |> line([-0.9149632591, 0.6721299235], %) | ||
| |> line([-0.4619937756, -0.1653040161], %) | ||
| |> line([-0.2808814542, -1.1000100038], %) | ||
| |> line([-0.5824390901, -0.0863966776], %) | ||
| |> line([-0.5881028420, 0.9711083600], %) | ||
| |> line([-0.4900857016, 0.0240763666], %) | ||
| |> line([-0.6804562304, -0.9087880491], %) | ||
| |> line([-0.5711661314, 0.1430696680], %) | ||
| |> line([-0.1717090983, 1.1222443518], %) | ||
| |> line([-0.4435665223, 0.2097913408], %) | ||
| |> line([-0.9764377140, -0.5792113521], %) | ||
| |> line([-0.4729383069, 0.3507549536], %) | ||
| |> line([0.2708257990, 1.1025288142], %) | ||
| |> line([-0.3295183609, 0.3635674851], %) | ||
| |> line([-1.1237654070, -0.1614549773], %) | ||
| |> line([-0.3027099123, 0.5050409772], %) | ||
| |> line([0.6721299235, 0.9149632591], %) | ||
| |> line([-0.1653040161, 0.4619937756], %) | ||
| |> line([-1.1000100038, 0.2808814542], %) | ||
| |> line([-0.0863966776, 0.5824390901], %) | ||
| |> line([0.9711083600, 0.5881028420], %) | ||
| |> line([0.0240763666, 0.4900857016], %) | ||
| |> line([-0.9087880491, 0.6804562304], %) | ||
| |> line([0.1430696680, 0.5711661314], %) | ||
| |> line([1.1222443518, 0.1717090983], %) | ||
| |> line([0.2097913408, 0.4435665223], %) | ||
| |> line([-0.5792113521, 0.9764377140], %) | ||
| |> line([0.3507549536, 0.4729383069], %) | ||
| |> line([1.1025288142, -0.2708257990], %) | ||
| |> line([0.3635674851, 0.3295183609], %) | ||
| |> line([-0.1614549773, 1.1237654070], %) | ||
| |> line([0.5050409772, 0.3027099123], %) | ||
| |> line([0.9149632591, -0.6721299235], %) | ||
| |> line([0.4619937756, 0.1653040161], %) | ||
| |> line([0.2808814542, 1.1000100038], %) | ||
| |> line([0.5824390901, 0.0863966776], %) | ||
| |> close(%) | ||
| |> extrude(1, %) | ||
| // Spur Gear | ||
| // A rotating machine part having cut teeth or, in the case of a cogwheel, inserted teeth (called cogs), which mesh with another toothed part to transmit torque. Geared devices can change the speed, torque, and direction of a power source. The two elements that define a gear are its circular shape and the teeth that are integrated into its outer edge, which are designed to fit into the teeth of another gear. | ||
|
|
||
| // Set Units | ||
| @settings(defaultLengthUnit = in) | ||
|
|
||
| // Define constants | ||
| nTeeth = 21 | ||
| module = 0.5 | ||
| pitchDiameter = module * nTeeth | ||
| pressureAngle = 20 | ||
| addendum = module | ||
| deddendum = 1.25 * module | ||
| baseDiameter = pitchDiameter * cos(toRadians(pressureAngle)) | ||
| tipDiameter = pitchDiameter + 2 * module | ||
| gearHeight = 3 | ||
|
|
||
| // Interpolate points along the involute curve | ||
| cmo = 101 | ||
| rs = map([0..cmo], fn (i) { | ||
| return baseDiameter / 2 + i / cmo * (tipDiameter - baseDiameter) / 2 | ||
| }) | ||
|
|
||
| // Calculate operating pressure angle | ||
| angles = map(rs, fn (r) { | ||
| return toDegrees( acos(baseDiameter / 2 / r)) | ||
| }) | ||
|
|
||
| // Calculate the involute function | ||
| invas = map(angles, fn (a) { | ||
| return tan(toRadians(a)) - toRadians(a) | ||
| }) | ||
|
|
||
| // Map the involute curve | ||
| xs = map([0..cmo], fn (i) { | ||
| return rs[i] * cos(invas[i]) | ||
| }) | ||
|
|
||
| ys = map([0..cmo], fn (i) { | ||
| return rs[i] * sin(invas[i]) | ||
| }) | ||
|
|
||
| // Extrude the gear body | ||
| body = startSketchOn('XY') | ||
| |> circle({ | ||
| center = [0, 0], | ||
| radius = baseDiameter / 2 | ||
| }, %) | ||
| |> extrude(length = gearHeight) | ||
|
|
||
| toothAngle = 360 / nTeeth / 1.5 | ||
|
|
||
| // Plot the involute curve | ||
| fn leftInvolute(i, sg) { | ||
| j = 100 - i // iterate backwards | ||
| return line(sg, endAbsolute = [xs[j], ys[j]]) | ||
| } | ||
|
|
||
| fn rightInvolute(i, sg) { | ||
| x = rs[i] * cos(toRadians(-toothAngle + toDegrees(atan(ys[i] / xs[i])))) | ||
| y = -rs[i] * sin(toRadians(-toothAngle + toDegrees(atan(ys[i] / xs[i])))) | ||
| return line(sg, endAbsolute = [x, y]) | ||
| } | ||
|
|
||
| // Draw gear teeth | ||
| start = startSketchOn('XY') | ||
| |> startProfileAt([xs[101], ys[101]], %) | ||
| teeth = reduce([0..100], start, leftInvolute) | ||
| |> arc({ | ||
| angleStart = 0, | ||
| angleEnd = toothAngle, | ||
| radius = baseDiameter / 2 | ||
| }, %) | ||
| |> reduce([1..101], %, rightInvolute) | ||
| |> close() | ||
| |> extrude(length = gearHeight) | ||
| |> patternCircular3d({ | ||
| axis = [0, 0, 1], | ||
| center = [0, 0, 0], | ||
| instances = nTeeth, | ||
| arcDegrees = 360, | ||
| rotateDuplicates = true | ||
| }, %) | ||
|
|
||
| // Define the constants of the keyway and the bore hole | ||
| keywayWidth = 0.250 | ||
| keywayDepth = keywayWidth / 2 | ||
| holeDiam = 2 | ||
| holeRadius = 1 | ||
| startAngle = asin(keywayWidth / 2 / holeRadius) | ||
|
|
||
| // Sketch the keyway and center hole and extrude | ||
| keyWay = startSketchOn(body, 'END') | ||
| |> startProfileAt([ | ||
| holeRadius * cos(startAngle), | ||
| holeRadius * sin(startAngle) | ||
| ], %) | ||
| |> xLine(keywayDepth, %) | ||
| |> yLine(-keywayWidth, %) | ||
| |> xLine(-keywayDepth, %) | ||
| |> arc({ | ||
| angleEnd = 180, | ||
| angleStart = -1 * 180 / pi() * startAngle + 360, | ||
| radius = holeRadius | ||
| }, %) | ||
| |> arc({ | ||
| angleEnd = 180 / pi() * startAngle, | ||
| angleStart = 180, | ||
| radius = holeRadius | ||
| }, %) | ||
| |> close() | ||
| |> extrude(length = -gearHeight) |
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