基于模拟直齿轮啮合模型的齿根强度分析

齿轮啮合是一个比较复杂的过程,由于渐开线齿廓的固有特性使得齿轮在啮合过程中会产生许多非线性的影响,这些非线性影响对于齿轮啮合特性的分析和优化有着举足轻重的意义。文章首先基于先进的有限元理论,提出一种能够准确计算齿轮啮合刚度,并可模拟齿轮啮合动态过程的有限元模型。其次将应用此模型考虑摩擦的影响对直齿轮齿根应力进行分析,并对直齿轮轮齿的齿根应力在啮合过程中的变化趋势以及相应的摩擦影响进行讨论和总结。

The Spur Gear Meshing Simulation Model and ToothRoot Strength Analysis

The gear meshing is a complicated process. Generally speaking, the contact between gear teeth should be cylindrical surface contact, and there are many nonlinear behaviour in gear meshing process due to the characteristic of involute gear tooth profile. The nonlinear behaviour is very significant for gear meshing analysis and performance optimization. Consequently, a common topic for gear designers is trying to propose a reliable model to simulate gear meshing process as precise as possible, and so that to analyze the gear teeth contact performance accurately and integrally. This paper will propose a finite element model which can calculate the contact stiffiness accurately and can simulate the dynamic meshing process on the basis of finite element theory, and then will apply this finite element model to analyze the tooth root strength of spur gear. Meanwhile, the coefficient of friction can be considered as a boundary condition to investigate the frictional effects on gear tooth root strength, and the significant variation trend of tooth root bending stress in spur gear meshing and relevant frictional effects will be discussed and summarized in the paper.