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The math of noncircular gearing

机译:非圆齿轮传动的数学

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Noncircular gearing is not new. There are well documented articles covering standard and high order elliptical gears, sinusoidal gears, logarithmic spiral gears, and circular gears mounted eccentrically. What these designs have in common is a pitch curve defined by a mathematical function. This article will cover noncircular gearing with free-form pitch curves, which, of course, includes all the aforementioned functions. This article also goes into the generation of teeth on the pitch curve, which is not usually covered in the technical literature. Needless to say, all this is possible only with the help of a computer.
机译:非圆形齿轮不是新事物。有大量文献记录,涵盖标准和高阶椭圆齿轮,正弦齿轮,对数螺旋齿轮和偏心安装的圆形齿轮。这些设计的共同点是由数学函数定义的音高曲线。本文将介绍具有自由形式的螺距曲线的非圆形齿轮,它当然包括所有上述功能。本文还介绍了螺距曲线上的齿的生成,这在技术文献中通常没有涉及。不用说,这一切只有借助计算机才能实现。

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