A Structural Dynamics Parameter Identification Method Based on the Modal Space Time-Domain Precise Integration

PAN Yaozong; ZHAO Yan

doi:10.21656/1000-0887.450071

Volume 46 Issue 1

Jan. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(1): 29-39

PAN Yaozong, ZHAO Yan. A Structural Dynamics Parameter Identification Method Based on the Modal Space Time-Domain Precise Integration[J]. Applied Mathematics and Mechanics, 2025, 46(1): 29-39. doi: 10.21656/1000-0887.450071

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A Structural Dynamics Parameter Identification Method Based on the Modal Space Time-Domain Precise Integration

doi: 10.21656/1000-0887.450071

PAN Yaozong¹,
ZHAO Yan^{1,2
,
,}

1. State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, School of Mechanics and Aerospace Engineering, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China;
2. Ningbo Institute of Dalian University of Technology, Ningbo, Zhejiang 315016, P.R.China

Funds:

The National Science Foundation of China(11772084；U1906233)

Received Date: 2024-03-20
Rev Recd Date: 2024-05-04

Abstract

Abstract

Based on the modal space time-domain precise integration, a dynamic parameter identification method was proposed. Firstly, an identification model was constructed based on the time-domain measurement signals and the theoretical prediction model with the time-domain precise integration method in the modal space. Secondly, the quadratic function of the unconstrained vector was derived through the Kronecker product of matrices, and the mathematical expressions of the mode shapes were analyzed and given. Finally, through mathematical transformations of the identification optimization problem, only the dynamics spectrum parameters (frequencies and damping ratios) need be identified, to greatly reduce the dimensionality of the identification parameters. In numerical examples, the dynamic parameter identification for the spring-mass system and the high-speed pantograph system were studied. The identified natural frequencies and damping ratios have errors less than 8% compared to the theoretical values. The cosine of the angle between the identified and the theoretical mode shapes is close to 1, which verifies the accuracy of the identification results. The proposed method can effectively achieve the separation of dynamic spectral parameters (frequencies, damping ratios) and spatial parameters (modal shapes), and has better solving efficiency and application prospects.
- dynamic parameter identification,
- time-domain precise integration method,
- least squares method,
- free vibration characteristic,
- dynamics optimization

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References(17)

References

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