结构有限元模型修正的自适应响应面方法

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (8) : 114-119.

论文

结构有限元模型修正的自适应响应面方法

魏锦辉1，2，任伟新1

作者信息 +

FE model updating based on adaptive response surface method

WEI Jin-hui1, 2, REN Wei-xin1

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文章历史 +

摘要

针对结构有限元模型修正可能陷入局部最优点的问题，提出了基于具有全局收敛特性的自适应响应面的结构有限元模型修正方法，模型修正过程中在全局最优解附近不断收缩参数设计空间，重构更为精确的响应面模型，同时，由于采用了拉丁超立方设计选择样本点，具有一定的遗传性，在使用过程中可以有效减少样本点总数。通过实例计算表明，传统的有限元模型修正方法很可能陷于局部最优，而利用该方法进行有限元模型修正时，可以有效避免陷入局部最优点，只需较少样本点便可收敛于全局最优解，有效的进行有限元模型修正。

Abstract

As finite element (FE) model updating method may fall into local optimizations, a new FE updating method based onadaptive response surface with global convergence properties is presented in this paper. In the process of model updating, the space of design parameters continued to shrink around the global optimal solution, to reconstruct more accurate response surface model. Meanwhile, as the heritable Latin hypercube design was used to select to sample points, the number of total sample points could be reduced to large extent. Numerical examples have demonstrated that the traditional finite element model updating method is tend to be trapped by local optimizations, however, this situation can be avoided by using this new method and the finite element model be updated efficiently with only fewer sample points.