基于混沌猴群算法的结构有限元模型修正研究

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。本文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。

Research on Finite Element Model Updating Based on Chaotic Monkey Algorithm

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. In this method, 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 paper not only expands the application fields of monkey algorithm, but also provides a new thinking for finite element model updating.