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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 Lagrange multiplier method, the topology optimization design of the structure is realized, and the point cloud data of the optimized three-dimensional model is stored in the structure database. It is proposed to approach the level set surfaces after topology optimization using the triangular method of space triangulation, and to extract the boundary of optimization results using the parametric equation of edge lines of patches. Based on the processing standard of digital manufacturing technology, the extracted boundary point cloud data is transformed into the machining program code of the CNC machine tool to realize digitized optimization of the workpiece after the numerical control machining. The examples in this paper use digital processing technology of wire-cutting machine to realize digital manufacture. The result really realized the whole process from topological optimization design to digital manufacturing and laid the foundation for digital manufacturing of topological optimization design.