基于数字化齿面的弧齿锥齿轮柔性多体接触动力学分析

基于弧齿锥齿轮局部综合法，计算弧齿齿面的精确空间数字化坐标点，建立了弧齿齿面的四边形面片有限元网格模型。基于弧齿齿面的四边形面片接触块模型，运用弧齿齿面的包围盒全域搜索方法和结点-目标面的主从面局部搜索方法，实现高精度数字化真实弧齿齿面的动态接触搜索计算。以四边形面片单元中心的外法向矢量来计算弧齿齿面的从结点到目标单元面的接触变形量，采用罚函数法计算弧齿齿面的动态接触作用力，提出了多柔性体、多界面动态接触的弧齿锥齿轮动力学分析方法。计算分析了弧齿锥齿轮的传动误差、动态接触力、等效约束力、弧齿边缘动态接触、最大应力值等动态接触特性。研究表明：忽略多柔性体、多界面动态接触特性，会低估弧齿齿轮的传动误差、动态接触力和等效约束力。新方法较好地模拟了弧齿锥齿轮传动动态接触特性，对弧齿锥齿轮系统动态设计提供了理论参考。
Abstract：Based on spiral bevel gears’ local synthesis method, gear tooth surface accurate spatial digital coordinates were calculated to build quad patch finite element grid model of spiral bevel gears.Based on gear tooth surface quad patch contact block model, dynamic contact searching calculation of high-precision digital actual gear tooth surfaces was realized using the global search method for bounding boxes and the local search method of node-target surface based on master and slave surface.The quad patch element center external normal vector was used to calculate gear tooth surface’s contact deformation from node to target surface.The penalty function method was used to calculate dynamic contact force of gear tooth surfaces.The dynamic analysis method was proposed for spiral bevel gears with multi-flexible body and multi-interface dynamic contact to calculate and analyze spiral bevel gears’ transmission errors, dynamic contact forces, equivalent constraint forces, tooth edge dynamic contact and maximum stresses.The results showed that spiral bevel gear transmission errors, dynamic contact forces, equivalent constraint forces may be underestimated if neglecting multi-flexible body and multi-interface dynamic contact features; the new method can be used to better simulate spiral bevel gear transmission’s dynamic contact characteristics and provide a theoretical reference for dynamic design of spiral bevel gear transmission systems.