摘要
有限元模型修正可转化为优化问题;基于此,将全局寻优算法——混沌猴群算法引入到有限元模型的修正中。利用响应面法,实现结构响应与待修正参数间非线性隐性关系的显式表达。基于最小残差原理,建立优化目标函数;利用混沌猴群算法求解该函数,得到修正后的结构有限元模型。以一个数值算例验证了该方法在结构有限元修正中应用的可行性。研究拓宽混沌猴群算法的应用范围,为有限元模型修正提供了一种新的思路。
Based on the fact that the mathematical essence of the finite element model updating is an optimization problem,the global optimization algorithm,chaotic monkey algorithm was introduced into the finite element model updating. The nonlinear implicit relationship between structural response and parameters to be modified was expressed explicitly. Based on the response surface method,optimization objective function considering the principle of least residual error was established; after solving the function by using chaotic monkey algorithm,the updated structural finite element model was obtained. A numerical example has been used to verify the feasibility of the proposed method. This work not only expanded the application fields of monkey algorithm,but also provided a new thinking for finite element model updating.
出处
《科学技术与工程》
北大核心
2017年第34期80-85,共6页
Science Technology and Engineering
基金
国家重点研发计划(2017YFC0806007
2016YFC0802202)
国家杰出青年科学基金(51425801)
重庆市研究生科研创新项目(CYB16111)资助
关键词
有限元模型修正
混沌猴群算法
响应面法
均匀设计
finite element model updating
chaotic monkey algorithm
response surface method uniform design