弧齿锥齿轮大轮齿面方程的渐进解
首发时间:2014-03-11
摘要:齿面坐标的求解是弧齿锥齿轮研究工作中的一个基本问题。由于弧齿锥齿轮齿面几何复杂,目前其齿面坐标均是通过数值计算方法得到的。本文在弧齿锥齿轮大轮齿面坐标封闭解研究的基础上,利用Adomian多项式对关于齿面坐标的一元六次方程进行求解,得到了大轮齿面坐标的渐进解。算例计算结果显示,渐进解具有足够高的计算精度。这为弧齿锥齿轮大轮齿面坐标的求解提供了一种新的途径。
关键词: 弧齿锥齿轮 齿面坐标 渐进解 Adomian多项式
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Asymptotic Solution of Member-Gear Tooth Surface Equation of Spiral Bevel Gears
Abstract:The solution of tooth surface parameters is a fundamental problem in spiral bevel gears studies. At present the tooth surface parameters are obtained by numerical computation in all previous studies because of the complexity of tooth surface geometry of spiral bevel gears. Based on the research of closed solution of gear tooth surface parameters of spiral bevel gears, Adomian polynominals are used to find the solution of six-order polynomial equation about the gear tooth surface parameters in the present paper. The numerical example shows that asymptotic solution can give highly precise results, which provides a new method of solving the member gear tooth surface parameters.
Keywords: Spiral bevel gears Tooth surface parameters Asymptotic solution Adomian polynomials
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