基于多点约束法的人字齿轮精确有限元建模方法

Accurate Finite Element Modeling Method of Herringbone Gear based on Multipoint Constraint Method

应力位置处足够细化的网格是齿轮有限元分析得到精确齿面接触应力和齿根弯曲应力的基础。在保证有限元分析结果精度的情况下,降低求解时间和对计算机性能的要求是研究的热点问题之一。基于Ansys软件网格划分方法对齿面和齿根网格细化,采用多点约束法(Multipointcon⁃straint,MPC)耦合大小不一致网格节点的自由度,进行了有限元建模和仿真分析计算。结果表明,该方法较普通方法能够大幅减少网格和节点数量,缩短计算时间,且能够保证人字齿轮齿根弯曲应力和齿面接触应力的求解精度。另外,采用ISO标准计算人字齿轮的齿根弯曲应力和齿面接触应力得到的结果均大于有限元分析的结果,对人字齿轮的工程实际应用提供了重要参照。

A sufficiently refined mesh at the stress position is the basis for finite element analysis of gears to obtain accurate tooth surface contact stress and tooth root bending stress.While ensuring the accuracy of finite element analysis results,it is one of the hot research issues to reduce the solution time and the requirements on computer performance.The mesh of tooth surface and tooth root is refined based on Ansys software mesh division method,and the finite element modeling and simulation analysis are carried out by using multipoint constraint(MPC)method to coupling the degree of freedom of mesh nodes with different sizes.The results show that this method can greatly reduce the numbers of mesh and nodes,shorten the calculation time,and ensure the accuracy of calculating the tooth root bending stress and the tooth surface contact stress.Secondly,the results of calculating the tooth root bending stress and the tooth surface contact stress of the herring gear according to the ISO calculation standard are both large than finite element analysis,which provides important reference for engineering practical application of herringbone gear.