弧齿锥齿轮传动的稳态本体温度场分析

针对弧齿锥齿轮几何学的复杂性，基于传热学理论，提出了一种计算弧齿锥齿轮稳态体温度场的数学模型，用三维8节点有限元讨论了弧齿锥齿轮轮齿的有限元网络划分。作者用变分原理研究了弧齿锥齿轮稳态本体温度场的泛函和计算啮合齿面上摩擦输入热的方法，从而把求解弧齿锥齿轮稳态本体温度场归结为求解一组线性代数方程组。给出了一个算例，并讨论了诸种因素（如热物性参数，几何参数和工况条件等）对弧齿锥齿轮稳态本体温度场的影响。本文的计算结是要与文献[5]给出的弧齿锥齿轮稳态本体温度场相符合，表明了作者所提出的方法是一种合理的和有效的方法。

The Analysis of the Steady Bulk Temperature Field in Spiral Bevel Gears

To counter complexity of spiral bevel gear geometry, this paper presents a mathematical model for calculating the steady bulk temperature field of spiral bevel gears based on the thermal transferring theory. Firstly, the mesh generation of finite element of the tooth of spiral bevel gear is discussed by using the 8-nodes three-dimensional finite element. Secondly, the authors develop the functional of the steady bulk temperature field of spiral bevel gear through the agency of variation principle and a method for calculating friction heat flow on the meshing tooth surface. Thus, the solution of steady bulk temperature field can be transformed into solving linear algebraic equations. Finally, this paper gives a calculating example and discusses the effect of a lot of factors (such as thermal physical parameters, geometric parameters and working conditions, etc.) on steady bulk temperature field of spiral bevel gear. The calculation results in this paper are in agreement with steady bulk temperature field of spiral bevel gear given in . It shows that this method presented by authors is reasonable and effective.