摘要
将包含两类变量的桁架结构拓扑优化设计的概念及求解离散优化的相对差商法进一步推广到由梁单元组成的框架结构的拓扑优化 ,建立了包含两类变量的框架结构拓扑优化设计模型 ,构造了包含应力约束和位移约束的统一约束函数 ,发展了统一处理两类变量 ,求解包含两类变量的框架结构拓扑优化设计问题的算法 。
The concept of topology optimization of truss structures with discrete variables including two kinds of variables and the relative deference quotient algorithm for discrete optimization are extended to the topology optimization of frame structures composed by beam elements. A mathematical model of topology optimization of frame structures with discrete variables including two kinds of variables is developed. A unitized constrain function is constructed, including stress constraints and displacement constraints. An algorithm to solve the above model is developed. Two examples are given.
出处
《山东理工大学学报(自然科学版)》
CAS
2003年第1期55-59,共5页
Journal of Shandong University of Technology:Natural Science Edition
基金
山东省自然科学基金连续资助项目 (L2 0 0 0A0 1)