SEQUENTIAL SEMIDEFINITE PROGRAMMING FOR OPTIMIZATION OF FRAMED STRUCTURES UNDER MULTIMODAL BUCKLING CONSTRAINTS
SEQUENTIAL SEMIDEFINITE PROGRAMMING FOR OPTIMIZATION OF FRAMED STRUCTURES UNDER MULTIMODAL BUCKLING CONSTRAINTS
复制标题
多模态屈曲约束下框架结构优化的顺序半定规划
DOI：
10.1142/s0219455401000305
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发表时间：
2001
影响因子：
3.6
通讯作者：
N. Katoh
中科院分区：
文献类型：
--
作者：
Y. Kanno;M. Ohsaki;N. Katoh
提出了一种基于半定规划（SDP）的线性屈曲荷载系数优化设计算法。采用基于SDP格式的原对偶邻域点法进行桁架和刚架的优化计算。众所周知，在屈曲约束下优化结构是困难的，因为对于多模态解的情况，屈曲载荷因子是不可微的。算例表明，通过逐次求解SDP问题，可以毫不困难地找到具有多个屈曲载荷因子的最优设计。
An algorithm based on Semi-Definite Programming (SDP) formulation is proposed for optimum design of structures for specified linear buckling load factors. Optimal trusses and frames are computed by using the primal-dual interior-point method based on SDP scheme. It is well known that optimizing structures under buckling constraints is difficult because of the non-differentiability of buckling load factors for the case of multimodal solutions. The examples studied indicate that optimum designs with multiple buckling load factors can be found with no difficulty by successively solving the SDP problems.