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| A component-based parametric model order reduction method |
| LIU Ying,LI Hongguang,LI Yun,DU Huanyu |
| Institute of Vibration, Shock and Noise, State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China |
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Abstract A parametric model order reduction (PMOR) method may suffer from the curse of dimensionality in the case of multi-dimensional parameter domains, for which the number of samples required to cover the parameter domain increases exponentially with the dimension.Thus a component-based PMOR method was proposed in this paper.Based on the fixed interface component modal synthesis method, the transformation matrices were deduced according to the minimum Frobenius norm criteria between different normal modes.Then the reduced substructure matrices of discrete distributed sample parameter points were all transformed to the compatible coordinate to establish offline database.The proposed method was subsequently applied to the moving coil of electrical-dynamic shakers.The proposed method was used to perform simulation for the uniformly distributed sample points.The results show that the proposed method can significantly reduce the sample points' number and improve calculation efficiency.The resulting parametric reduced model possesses high online calculation efficiency and accuracy.
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Received: 25 February 2019
Published: 15 August 2020
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