摘要
基于可靠度的结构优化设计是国内外积极探索和研究的重要课题,但是传统的两层次算法的最大缺点就是计算效率很低,甚至有时不能够得到收敛解.因此有必要对这一类问题进行研究和探索,寻找新的计算方法以降低计算成本.本文将Kriging方法应用于带可靠性约束的优化设计中,将双层规划问题转化为一个带有无穷多个约束的半无限规划问题,然后使用Kriging模拟来近似地替代结构重分析,使得优化过程中的结构重分析次数减少,在保证计算精度的同时使计算效率得到较大提高.
Optimization of structural design based on reliability analysis is of great importance. Aimed at the low efficiency of the traditional bi-level optimization, the Kriging approach, which is similar to the response surface approach （RSA）, is introduced to solve this problem. Through this method, the problem of bi-level optimization is transformed into semi-infinite programming with infinite constraints. In the proposed procedure, the structure re-analysis can be replaced by Kriging simulation, and then the computation efficiency is highly promoted.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2009年第2期176-179,共4页
Journal of Harbin Institute of Technology
基金
国家自然科学基金重点资助项目(10332010)
国家高技术研究发展计划项目(863-2001AA602015)
