基于水平集函数拓扑优化设计的数字化制造实现

Digital manufacturing of topological optimal design structure based on level set function

基于水平集函数和Lagrange乘子法实现结构拓扑优化设计,并将优化后空间三维模型的点云数据存入结构数据库。提出用空间三角形面片法逼近拓扑优化后水平集曲面,用面片边线的参数方程实现对优化结果边界的提取。基于数字化制造技术的加工程序标准,将提取的边界点云数据变成数控机床的加工程序代码,实现数字化优化后工件的数控加工。文中算例使用线切割机床的数字化加工技术实现数字化制造。该结果真正实现了从拓扑优化设计到数字化制造的全过程,为拓扑优化设计的数字化制造奠定了基础。

Based on the level set function and the Lagrange multiplier method,the topological optimal design of structure is achieved,and the final point cloud data of the optimized spatial 3D model is saved in a structure database.The spatial tri patch method is presented to approach the level set curve surface after being optimized and the data of boundary extraction are obtained by the sideline parametric equation.According to the machining program standards of the digital processing technology,the extracted point cloud data was changed into CNC machining program code,which enabling the digital processing of the digitally optimized structure.The example in this paper uses the digital processing technology of wire electrical discharge machine to achieve the digital manufacturing.The result shows that this process fulfills the whole course from topological optimization to digital manufacturing,having laid the foundation for the theory of digital manufacturing in structure optimization design.