应用于非凸设计区域桁架拓扑优化的一种基结构生成方法  

A ground structure generation method for truss topology optimization on non-convex design domain

作　　者：史航 高阁[1] 谢军[1] 郭煜晨 王涛[1] 刘震宇[1] SHI Hang;GAO Ge;XIE Jun;GUO Yu-chen;WANG Tao;LIU Zhen-yu(Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Science,Changchun 130033,China;School of Materials Science and Opto-Electronic Technology,University of the Chinese Academy of Sciences, Beijing 100039,China)

机构地区：[1]中国科学院长春光学精密机械与物理研究所,长春130033 [2]中国科学院大学材料科学与光电技术学院,北京100039

出　　处：《计算力学学报》2018年第5期540-546,共7页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(51675506;51275504)资助项目

摘　　要：为了提高桁架拓扑优化设计中非凸区域生成基结构的效率和准确性,介绍了一种基于几何和网格信息生成初始基结构的方法。通过直接将已有几何边界作为碰撞检测的标准,避免对原有边界扩展或构建限制区域,简化了基结构生成过程并可以避免杆件识别不准确的问题;通过减少需要与凹边界碰撞检测的杆件个数来提升整体基结构的生成效率;最后,针对已生成的基结构进行基于塑性准则的桁架拓扑优化。This paper introduces a new method of generating the ground structure in the non-convex domain based on geometry and mesh in order to improve the efficiency and accuracy of ground structure generation in truss topology optimization.Bars of the initial ground structure generated by connectivity level which is outside of the design domain should be deleted using collision detection.The geometrical boundary can be used as a criterion for collision detection instead of extending or constructing a restricted area of the original design domain,which simplifies the process and avoids the inaccurate identification of the candidate bars.The main idea to improve the efficiency of the ground structure generation is to reduce the number of bars which need collision detection on the concave boundary.Finally,some related examples in 2D and 3D truss topology optimizations based on plastic design are analysed using the generated ground structure.

关 键 词：桁架拓扑优化 基结构法 非凸设计区域 基结构生成 塑性设计 

分 类 号：O189.1[理学—数学]