基于离散变量的网壳结构截面优化设计

SIZE OPTIMIZATION DESIGN OF SPATIAL LATTICE SHELL BASED ON DISC RETE VARIABLES

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1. College of Civil Engineering,Tongji University Shanghai 200092;
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2. Mechanical Institute,Shandong College of Architecture and Engineering Jinan 250014;
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3. Department of Civil Engineering,Shandong College of Architecture and Engineering Jinan 250014

摘要: 以杆件横截面积及工程中常用的两种球节点体积为设计变量，以工程造价为目标函数，采用基于离散变量的两级优化方法对空间网壳结构进行了截面优化设计；编制了SIOP网壳结构截面优化设计程序，解决了与Algor(SAP93)程序的接口问题。为提高精度，在优化设计过程中采用了0阶修正。最后通过两个算例，与满应力优化设计结果进行了比较，验证了该方法与程序的可行性和有效性。
- 离散变量 /
- 结构优化 /
- 相对差商 /
- 网壳结构
Abstract: Taking the sizes of cross sections and the volume of ordinary spherical nodes as design variables and overall cost as objective function, the size optimization design of spatial lattice shell is developed by means of two-level algorithem based on discrete variables.The credible structural analysis programme named Algor(Super SAP93) is combined to accomplish the finite element analysis of mathematical model. In addition, zero-step modification is considered to improve the computational precision. At the end, through two numerical examples, the theories above are tested and verified to be correct. Compared with full stress optimization method, the computational results are satisfactory.
- discrete variable /
- structural optimization /
- relative difference quotient /
- lattice shell