ZN-1型粘弹性材料的GHM模型参数确定

稀有金属材料与工程, 2002, 31(2): 92-95.

ZN-1型粘弹性材料的GHM模型参数确定

张亮 ^1, , 杜海平 ^2, , 石银明 ^3, , 史习智 ^4,

1.上海交通大学,上海,200030

2.上海交通大学,上海,200030

3.上海交通大学,上海,200030

4.上海交通大学,上海,200030

基金项目: National Defence Science Key Laboratory Foundation(JS52.4.3)

关键词： GHM模型 , 有限元 , 粘弹性材料

Parametric Determination for GHM of ZN-1 Viscoelastic Material

Keywords： GHM model , finite element method , viscoelastic material

将ZN-1粘弹性材料的GHM模型与工程上常用的有限元方法相结合,引入耗散自由度,将由于ZN-1型粘弹性材料导致的非线性微分方程转化为一般的二阶定常线性系统模型;并将GHM模型与最常用的标准线性模型、分数导数模型进行比较,结果表明本研究提出的确定GHM模型参数的方法是正确的.

The GHM(Golla-Hughes -McTavish) model of ZN-1 Viscoelastic Material is combined with finite element method (FEM), which is the most frequently used method in Engineering. It can approach time-consuming iteration in solving model parameters and responses by introducing dissipation coordinates . The parameters of GHM model are determined by nonlinear curve fitting in complex frequency domain. This is converted into nonlinear optimization problem with constrained condition. The results show that the method proposed in the present paper to determine the parameters of GHM model is correct, simple and effective to employ GHM model to perform dynamic analysis.

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