新的模型修正与模态扩展迭代方法

李伟明;洪嘉振;张以帅

振动与冲击 ›› 2010, Vol. 29 ›› Issue (6) : 4-7.

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振动与冲击 ›› 2010, Vol. 29 ›› Issue (6) : 4-7.
论文

新的模型修正与模态扩展迭代方法

  • 李伟明; 洪嘉振; 张以帅
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A NEW ITERATIVE METHOD FOR MODEL UPDATING AND MODAL EXPANSION

  • Li Weiming; Hong Jiazhen; Zhang Yishuai
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文章历史 +

摘要



由于有限元模型与实验模型自由度的不匹配,模型修正中经常需要使用模态扩展技术。利用动态扩充法进行模态扩展进而进行模型修正时,模型修正过程中并没有考虑到使用有限元模型对实验数据进行模态扩展而造成的误差。针对这一问题,本文提出了一种新的迭代方法,在模型修正过程中记及了上述的误差项,并将其以修正项的形式添加到模型修正当中,同时该方法没有限定所使用模型修正的方法,具有一定的通用性。通过Cross-model Cross-mode method (CMCM)模型修正方法对新的迭代方法进行了详细讨论。算例表明,新的迭代方法较原方法可以极大的提高模型修正的迭代收敛速度。



Abstract

Model updating usually uses modal expansion technology for the incompatible of the degrees of freedom between Finite element (FE) model and experimental model. Using dynamic expansion method to expand the test data and then update the FE model, the model updating process does not take account of the error of expanding the test data using the FE model. In order to solve this problem, this paper proposes a new iterative strategy that the model updating method considers the above-mentioned error and eliminates the disadvantageous effect by adding a correction term to the model updating formula. Furthermore, this method has universal significance because it does not limit the model updating method. To illustrate the validity of the proposed method, Cross-model Cross-mode method (CMCM) model updating method is used. Numerical example shows that the new method can greatly improve the convergence velocity of iteration.

关键词

有限元 / 模型修正 / 模态扩展 / 迭代

Key words

Finite element / Model updating / Modal expansion / Iteration

引用本文

导出引用
李伟明;洪嘉振;张以帅. 新的模型修正与模态扩展迭代方法[J]. 振动与冲击, 2010, 29(6): 4-7
Li Weiming;Hong Jiazhen;Zhang Yishuai. A NEW ITERATIVE METHOD FOR MODEL UPDATING AND MODAL EXPANSION[J]. Journal of Vibration and Shock, 2010, 29(6): 4-7

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