摘要
复合材料格栅加筋结构优化设计是一个属于多工况、多约束、连续变量和非连续变量混合的优化问题。对遗传算法与单纯形法作了相应的改进, 利用外罚函数法将受稳定性约束和应变约束的多约束优化问题转化为无约束优化。在此基础上, 提出了一种遗传算法与单纯形法相结合的混合遗传算法, 通过与其它文献结果和传统遗传算法结果对比, 证实了混合遗传算法的有效性。以受均匀侧压时复合材料格栅圆柱壳优化设计为例,分别讨论了不同格栅类型和有、无强度约束时的优化结果。分析表明, 整体稳定性是控制该结构安全度的最主要约束因素。本算法具有高效和方便的特点。
Based on the characters of optimal design for the composite grid-stiffened structures (AGS), such as multi-loading cases, multi-constraints, mixed discrete-continuous design variables, etc, a strategy of optimal analysis was proposed. Some improvements about genetic and simplex algorithms were made, and an optimal problem with the buckling and strain constraints was transformed into a non-constrained optimal problem by the exterior penalty function scheme. Based on the foregoing measures, a new hybrid genetic algorithm by conjunction of genetic approach with simplex algorithm was developed successfully. Comparison of the benchmark results given by traditional genetic algorithms showed the effectiveness of the present algorithm. Some numerical examples were discussed about the effects of strength constraints and grid configurations upon the optimal results. It is concluded that global buckling constraint is the key factor for identifying safety of AGS, and the algorithm provided is convenient and efficient.
出处
《复合材料学报》
EI
CAS
CSCD
北大核心
2005年第2期166-171,共6页
Acta Materiae Compositae Sinica
基金
十五攻关预研项目
关键词
混合遗传算法
优化设计
复合材料格栅圆柱壳
Composite materials
Cylinders (shapes)
Genetic algorithms
Structural optimization
