应用数学和力学2011，Vol.32Issue(1)：93-102,10.DOI:10.3879/j.issn.1000-0887.2011.01.010
基于 Fibonacci 序列寻优理论薄壁弯箱材料常数的 Powell 优化识别
Powell's Optimal Identification of Material Constants of Thin-Walled Box Girders Based on Fibonacci Series Search Method
摘要
Abstract
For thin-walled curve box girders, dynamic Bayesian error function of material constants of the structure was founded. Combined with one-dimensional Fibonacci series automatic search scheme of optimal step length, the Powell' sop timization theory was utilized to perform the stochastic identification of material constants of thin-walled curve box. Then the steps of parameters' identification were presented in detail and the Powell' s identification procedure of martial constants of thin-walled curve box was compiled, in which the mechanical analysis of thin-walled curve box was completed based on finite curve strip element (FCSE) method.Through some classic examples, it is obtained that the Powell' s identification of material constants of thin-walled curve box has numerical stability and convergence, which demonstrates that the present method and the compiled procedure are correct and reliable. And during parameters' iterative processes, the Powell' s theory is irrelevant with the calculation of FCSE' s partial differentiation, which proves high computation efficiency of the studied methods. The stochastic performances of systematic parameters and systematic responses are simultaneously deliberated in dynamic Bayesian error fimction. The one-dimensional op timization problem of the optimal step length is solved by adopting Fibonacci series search method and there is no need to determine the region in which the optimized step length lies.关键词
Powell理论/薄壁弯箱/材料常数/Fibonacci序列寻优法/FCSE理论分类
数理科学引用本文复制引用
张剑,叶见曙,周储伟..基于 Fibonacci 序列寻优理论薄壁弯箱材料常数的 Powell 优化识别[J].应用数学和力学,2011,32(1):93-102,10.基金项目
国家自然科学基金资助项目(10472045 （）
10772078 （）
11072108) （）
国家高技术研究发展计划(863)资助项目(2007AA11Z106) （863）
