From a54737bcb6b9545df480063da30391fb77ce1880 Mon Sep 17 00:00:00 2001 From: nicboone8 Date: Thu, 17 Oct 2024 09:56:33 -0700 Subject: [PATCH 1/2] Update gear.kcl --- gear/gear.kcl | 123 ++++++++++++++++++++++++++++---------------------- 1 file changed, 70 insertions(+), 53 deletions(-) diff --git a/gear/gear.kcl b/gear/gear.kcl index 6cb0066..65e5409 100644 --- a/gear/gear.kcl +++ b/gear/gear.kcl @@ -1,65 +1,82 @@ -// Gear +// 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. // Define constants -gearRadius = 2 // inches -nTeeth = 8 -width = 2 // inches +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 = int(101) +rs = map([0..cmo], (i) => { + return baseDiameter / 2 + i / cmo * (tipDiameter - baseDiameter) / 2 +}) -// Create a function for sketch of a single tooth -fn tooth = () => { - toothSketch = startSketchOn('XY') - |> startProfileAt([0, gearRadius], %) - |> arc({ - angleStart: 90, - angleEnd: 90 - (180 / pi() * asin(0.7376425 / gearRadius)), - radius: gearRadius - }, %, $base) - |> angledLine({ - angle: 180 - (180 / pi() * asin(0.7376425 / gearRadius)), - length: 0.0001 - }, %) - |> tangentialArc({ - offset: -70 + 180 / pi() * asin(0.7376425 / gearRadius), - radius: 0.389854023 - }, %, $philly) - |> line([-0.329118, 0.904244], %) - |> tangentialArcTo([ - lastSegX(%) - 0.157636, - lastSegY(%) + 0.110378 - ], %, $corner) - |> xLineTo(0, %) - |> xLineTo(-1 * segEndX(corner), %) - |> tangentialArcTo([ - lastSegX(%) - 0.157636, - lastSegY(%) - 0.110378 - ], %) - |> lineTo([-1 * segEndX(philly), segEndY(philly)], %, $tag2) - |> tangentialArcTo([-1 * segEndX(base), segEndY(base)], %) - |> arc({ - angleEnd: 90, - angleStart: 90 + 180 / pi() * asin(0.7376425 / gearRadius), - radius: gearRadius - }, %) - |> close(%) - |> extrude(width, %) - return [toothSketch] -} +// Calculate operating pressure angle +as = map(rs, (r) => { + return toDegrees(acos(baseDiameter / 2 / r)) +}) + +// Calculate the involute function +invas = map(as, (a) => { + return tan(toRadians(a)) - toRadians(a) +}) + +// Map the involute curve +xs = map([0..cmo], (i) => { + return rs[i] * cos(invas[i]) +}) + +ys = map([0..cmo], (i) => { + return rs[i] * sin(invas[i]) +}) -// Create the body +// Extrude the gear body body = startSketchOn('XY') - |> circle({ center: [0, 0], radius: gearRadius }, %) - |> extrude(width, %) + |> circle({ + center: [0, 0], + radius: baseDiameter / 2 + }, %) + |> extrude(gearHeight, %) + +toothAngle = 360 / nTeeth / 1.5 + +// Plot the involute curve +fn leftInvolute = (i, sg) => { + j = int(100 - i) // iterate backwards + return lineTo([xs[j], ys[j]], sg) +} -// Pattern the teeth around the body -teeth = tooth() +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 lineTo([x, y], sg) +} + +// 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(gearHeight, %) |> patternCircular3d({ - arcDegrees: 360, axis: [0, 0, 1], center: [0, 0, 0], - repetitions: nTeeth - 1, + instances: nTeeth, + arcDegrees: 360, rotateDuplicates: true }, %) @@ -70,8 +87,8 @@ holeDiam = 2 holeRadius = 1 startAngle = asin(keywayWidth / 2 / holeRadius) -// sketch the keyway and center hole and extrude -sketch001 = startSketchOn(body, 'END') +// Sketch the keyway and center hole and extrude +keyWay = startSketchOn(body, 'END') |> startProfileAt([ holeRadius * cos(startAngle), holeRadius * sin(startAngle) @@ -90,4 +107,4 @@ sketch001 = startSketchOn(body, 'END') radius: holeRadius }, %) |> close(%) - |> extrude(-width, %) + |> extrude(-gearHeight, %) From b76cb60e9382daca603957b5009a701d3e5ca359 Mon Sep 17 00:00:00 2001 From: "github-actions[bot]" Date: Fri, 18 Oct 2024 01:23:42 +0000 Subject: [PATCH 2/2] In the realm of scripts and screens, adding a dash of mechanical dreams. --- screenshots/80-20-rail.png | Bin 29705 -> 29770 bytes .../a-parametric-bearing-pillow-block.png | Bin 78919 -> 78939 bytes screenshots/ball-bearing.png | Bin 100457 -> 100497 bytes screenshots/bracket.png | Bin 69307 -> 69038 bytes screenshots/brake-caliper.png | Bin 113253 -> 113240 bytes screenshots/car-wheel-assembly.png | Bin 272594 -> 272362 bytes screenshots/car-wheel.png | Bin 281018 -> 275967 bytes screenshots/enclosure.png | Bin 93305 -> 92747 bytes screenshots/flange-with-patterns.png | Bin 77654 -> 77809 bytes screenshots/flange-xy.png | Bin 77177 -> 77727 bytes .../focusrite-scarlett-mounting-bracket.png | Bin 79155 -> 78645 bytes screenshots/food-service-spatula.png | Bin 57832 -> 57917 bytes screenshots/french-press.png | Bin 101215 -> 100676 bytes screenshots/gear-rack.png | Bin 43914 -> 44168 bytes screenshots/gear.png | Bin 96229 -> 92277 bytes screenshots/hex-nut.png | Bin 77669 -> 78193 bytes screenshots/kitt.png | Bin 101194 -> 103422 bytes screenshots/lego.png | Bin 107110 -> 105913 bytes screenshots/lug-nut.png | Bin 96618 -> 92621 bytes screenshots/mounting-plate.png | Bin 61594 -> 61616 bytes screenshots/multi-axis-robot.png | Bin 83649 -> 84554 bytes screenshots/pipe-flange-assembly.png | Bin 106434 -> 106124 bytes screenshots/pipe.png | Bin 46949 -> 46915 bytes screenshots/poopy-shoe.png | Bin 83089 -> 83376 bytes screenshots/router-template-slate.png | Bin 39740 -> 39745 bytes screenshots/sheet-metal-bracket.png | Bin 65011 -> 64628 bytes screenshots/socket-head-cap-screw.png | Bin 66016 -> 65647 bytes screenshots/tire.png | Bin 144110 -> 141900 bytes screenshots/washer.png | Bin 59745 -> 59547 bytes screenshots/wheel-rotor.png | Bin 95217 -> 94938 bytes step/gear.step | 25233 ++++++++++++++-- 31 files changed, 22338 insertions(+), 2895 deletions(-) diff --git a/screenshots/80-20-rail.png b/screenshots/80-20-rail.png index 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