The Structural Dynamics Model Validation based on Monte Carlo Method

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Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (16) : 76-81.

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The Structural Dynamics Model Validation based on Monte Carlo Method

Chen Zhiguo Deng Zhongmin Bi sifeng

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Abstract

A statistical method based on Monte Carlo Simulation (MCS) and multiple regression analysis is presented for FEM model validation. An agent model created by Response Surface Method with dynamic response is used to improve direct MCS, which has guaranteed the accuracy of model validation. The traditional Euclidean/ Mahalanobis Distance describe the distance of two points in different aspects,if the two can be both considered in Uncertainty Quantification it might be more Comprehensive. Incorporating the features (advantages) of Euclidean/Mahalanobis Distance in the aspect of correlation measure, a method which the two distance are used for Uncertainty Quantification (a distance criterion) with its Iteration convergence judgment criteria is employed. Simulation results show that the presented method with the distance criterion can greatly reduce the time spend on calculation and can get satisfactory results of model validation; And can provide a more stable approximation process and enhance the accuracy of the result.

Key words

Model validation / Uncertainty quantification / Distance discriminant analysis / Monte Carlo simulation / Response Surface Method

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Chen Zhiguo Deng Zhongmin Bi sifeng. The Structural Dynamics Model Validation based on Monte Carlo Method[J]. Journal of Vibration and Shock, 2013, 32(16): 76-81