If rotated, a full circle and the length of the perimeter of the shape around the new point is the same as the perimeter length of the shape with no teeth, we have the same behavior as a normal circular gear - they rotate without slip on the pitch circleshape.Youtube: Making Wooden Gears with a Router shows another way of doing this.The data files and the images saved can be used for illustrations and templates for cutting gears.
The Superellipse to make some fun looking non circular gears. Draw Gear Tooth Code On HowSearching the internet, I found a lot of information about gears, but only a few snips of code on how to drawmake them but none using C, so I started collecting information and made this program DrawInvolute. Use the saved images as illustrations or as templates for gear cutting in wood and other materials. If you want a better understanding of a subject, its adviced to take a look at the source code. GearParams, used to hold and do basic gear parameter calculations. LockBitmap, Work-with-bitmap-faster-with-Csharp Added support for 16 bit needed by this program MooreNeighborTracing Ellipse, functions to draw and calculate ellipse and super ellipse. BiSection, an unused attempt to be used for finding the best center distance between too gears DrawInvoluteTake2, the main class with functions to drawGear, DrawCenterX, drawMultipageAlignmentGrid, drawTooth, drawRackDrive, drawRackDriven, drawRawTooth, drawIndexMarkNumbers, drawPerfectGear, calcBestMatingGearCenterDistance, drawGearFromArray, fastDrawGearFromArray, drawXaxis, drawCicleMark, makeGearAnimationFromArrayLists. Undercut is the tip of one tooth cutting into the bottom of the tooth on the mating gear. To form the drivedriven standard ellipse, two draw rack functions are used, the driven is shifted a tooth width in relation to the drive. One problem I havent solved yet, is if n less than 1, the shape is convex and the rack bump into parts of the shape it shouldnt, the solution not made in this program is to take a circular gear and roll this around the shape. The diameter of this should be less than the curvature of the convex shape and be adjusted so we get an even distributation of teeth on the shape. This time radiusAtAngleCenter using algorithm found here: lengthBetweenPoints - Using Pythagorean theorem tangentAngleAtRadiusAtAngleCenter - Calculate tangent angle finding the secant of too points close to the middle point. This derivate beforeafter will makegive a better approximation of the real tangent as one underestimates the value and the other overestimates. Now, it saves the vector coordinates as SVG in an html named by filename. A small JavaScript has been added too, to show the gear in different sizes. Data from the SVG part could be used as input to a 3DCNC to generate a gear. Some ruby script files are generated too, can be used as extensions in Googles Skechup. The ruby script for Googles Sketchup is made by the code here. ![]() All the.rb files use the same extension name, so you will have to modify the name in the file if you want to use more in one presentation. Number of points have been limited in the function as Sketchup crashes if the extension has 10000 points in an extension. So make sure you save your work before trying to use drawgear extension.
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