基于混合变量的预张力结构优化设计研究  

Research on Optimum Design of Pretensioned Structures Based on Hybrid Variables

作　　者：吴杰[1] 杨永华[2] 

机构地区：[1]同济大学高等技术学院,上海200092 [2]上海师范大学建筑工程学院,上海200234

出　　处：《结构工程师》2008年第3期50-54,共5页Structural Engineers

摘　　要：探讨了以预张力和截面尺寸为设计变量的预张力结构优化设计问题。建立了预张力结构优化设计的数学模型,提出了基于混合变量的预张力结构优化设计的两级算法。第一级优化以预张力作为设计变量,采用基于连续变量的数学规划法进行搜索,第二级优化在固定预张力状态下,在构件截面尺寸变量级采用离散变量优化设计方法求解。从文中算例可看出,该方法具有较好的计算效率和收敛性。The optimum design for pretensioned structures considering both the pretension force variables and the size variables was discussed. The mathematical model of optimum design was established for pretensioned structures and a two-level algorithm based on hybrid variables was proposed. At the first level, the pretension forces were chosen to be the design variables and the optimum design for pretension force based on continuous variable was carried out. At the second level, the cross-sectional areas were chosen to be the design variables and the discrete sizing optimization was carried out under fixed pretension force. The numerical examples showed the correctness and effectiveness of the method.

关 键 词：预张力 优化 混合变量 相对差商法 

分 类 号：TU394[建筑科学—结构工程]