离散变量结构优化设计中变量和约束的分解与简化  

Decomposition and Reduction of Design Variables and Restrictive Conditions in Discrete Optimum Design of Engineering Structures

作　　者：文毅[1] 武广号[1] 张建辉[1] 徐晓枫 黄永苍 叶国平 

机构地区：[1]西安交通大学建筑工程与力学学院,西安710049 [2]东方锅炉(集团)股份有限公司

出　　处：《西安交通大学学报》2003年第5期535-538,共4页Journal of Xi'an Jiaotong University

摘　　要：提出了优化设计中对设计变量和约束条件进行缩减和分解的方法.设计变量可分解为基本设计变量和复合设计变量,复合设计变量是基本设计变量的函数或综合;约束条件可根据它与计算过程的关系和作用范围分步、分阶段考虑;对于离散结构的实体杆件,可以根据受力和对结构的作用情况分成5类,常用截面分成24种类型.最后通过一个三维空间实例,证明所提方法优化效率高,效果明显,可节约材料39 26%,是求解大规模离散变量工程结构最轻设计问题的较好方法.A method of decomposition and reduction of the design variables and restrictive conditions in the optimal design is presented. First, the design variables are decomposed into basic and complex design variables. A complex design variable is a function or integration of basic design variables. Second, restrictive conditions are grouped and processed on different steps and levels based on their relations with the analysis procedure and their effect ranges. Third, the solid members of a discrete structure are divided into five groups based on their supported forces and their functions in the structure: the commonly used sections are classed into 24 styles. Finally, the method is verified by a 3D sample, and its weight is decreased by 39.3%. The optimal results of another six practical examples demonstrate material-save of 6%-19% comparing with the empiric designs. The practical application shows that the presented method is efficient and effective in solving the problem of minimum weight design of large-scale engineering structures with discrete variables.

关 键 词：结构 优化 离散设计变量 约束条件 

分 类 号：TU311[建筑科学—结构工程] O342[理学—固体力学]