锥齿轮结构化网格生成方法与参数化建模仿真

针对渐开线锥齿轮建模与数值仿真的复杂性、结构化六面体网格划分困难等问题，提出渐开线锥齿轮建模与网格划分参数化方法，编程搭建锥齿轮建模与网格划分参数化仿真分析专用软件平台。运用C++语言编写参数化主程序，进行图形界面可视化设计，搭建锥齿轮主参数输入模块。通过渐开线数学模型和锥齿轮的主参数精确建立插值点位置坐标，提出锥齿轮齿廓渐开线及三维实体结构的分块化合并六面体网格生成法，实现渐开线锥齿轮精确建模、正确规整高质结构化六面体网格生成和有限元分析全过程的参数化。此平台具有渐开线直齿锥齿轮建模速度快和结构化光滑六面体网格精度高、动力学分析操作快捷方便等优点，为解决锥齿轮的有限元结构化六面体网格划分和动力学分析提供一种参数化建模与仿真平台。

Structured Grid Generation Method and Parametric Modeling Simulation of Bevel Gear

Aiming at the complexity of modeling and numerical simulation of involute bevel gear and the difficulty of structured hexahedron mesh division, a parameterization method of involute bevel gear modeling and mesh division was proposed, a bevel gear modeling and grid division parameterized simulation analysis software platform was built through programming. A parameterized main program was written with C++ language, the graphical interface was visualized, and the main parameter input module of bevel gear was built. Based on the involute mathematical model and the main parameters of bevel gear, the position coordinates of interpolation points were established accurately, and the block-merged hexahedron mesh generation method of bevel gear profile involute and 3D solid structure was put forward. The platform has the advantages of fast modeling speed of involute bevel gear, high precision of structured smooth hexahedron mesh, quick and convenient operation of dynamic analysis. It provides a parameterized modeling and simulation platform for finite element structured hexahedron mesh division and dynamic analysis of bevel gears.