带有柔性齿圈和行星架的直齿和斜齿行星传动的模拟

Modeling of spur And Helical Gear Planetary Drives With Flexible Ring Gears And Planet Carriers

本文提供可以仿真具有变形零件的直齿和斜齿行星齿轮周转齿轮的三维静态和动态性能的模型。通过三维有限元方法得出的结构求出齿圈和行星架的变形分布。根据模型的转化技术,通过考虑到轮齿接触弹性原则,由连接齿圈结构和行星轮分块参数模型限定内齿轮元件。沿接触线导出离散的啮合刚度和当量法面偏差,并把啮合齿面位置作为随时间变化再计算它们的数值。采用约束基础技术仿真一个连接行星轮中心的行星架,用组合板块参数太阳轮/行星齿轮和沿轴装零件集成刚度,质量和惯量完善行星齿轮/周转齿轮模型。对整个啮合仿真用综合时间—分级积分框图和接触算法解相应的运动方程式。得出的一些准静态和动态的结果表明所推荐的混合模型的趋向和考虑齿圈和行星架变形的重要性。

A model is presented which enables the simulation of the three-dimensional static and dynamic behavior of planetary/epicyclic spur and helical gears with deformable parts. The contributions of the deflections of the ring gear and the carrier are introduced via substructures derived from 3D finite element models. Based on a modal condensation technique, internal gear elements are defined by connecting the ring-gear substructure and a planet lumped parameter model via elastic foundations which account for tooth contacts. Discrete mesh stiffness and equivalent normal deviations are introduced along the contact lines, and their values are recalculated as the mating flank positions vary with time. A constraint mode substruc- turing technique is used to simulate the planet carrier as a superelement which is connected to the planet center. Planetary/epicyclie gear models are completed by assembling lumped parameter sun geal/planet elements along with shaft elements, lumped stiffness, masses and inertias. The corresponding equation of motion are solved by combining a time-step integration scheme and a contact algorithm for all simultaneous meshes. Several quasistatic and dynamic results are given which illustrate the potential of the proposed hybrid model and the interest of taking into account ring gear and carrier deflections.