Structural modal parameter identification method based on variational mode decomposition and singular value decomposition

SHEN Jian; ZHAO Wen-tao; DING Jian-ming

doi:10.19818/j.cnki.1671-1637.2019.06.008

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SHEN Jian, ZHAO Wen-tao, DING Jian-ming. Structural modal parameter identification method based on variational mode decomposition and singular value decomposition[J]. Journal of Traffic and Transportation Engineering, 2019, 19(6): 77-90. doi: 10.19818/j.cnki.1671-1637.2019.06.008

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SHEN Jian, ZHAO Wen-tao, DING Jian-ming. Structural modal parameter identification method based on variational mode decomposition and singular value decomposition[J]. Journal of Traffic and Transportation Engineering, 2019, 19(6): 77-90. doi: 10.19818/j.cnki.1671-1637.2019.06.008

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Structural modal parameter identification method based on variational mode decomposition and singular value decomposition

doi: 10.19818/j.cnki.1671-1637.2019.06.008

1.
Research Institute of Science and Technology, China Railway Eryuan Engineering Group Co., Ltd., Chengdu 610031, Sichuan, China
2.
State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

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Author Bio:
SHEN Jian (1981-), male, associate professor, 5435918@qq.com
Received Date: 2019-05-30
Publish Date: 2019-12-25

Abstract

Abstract

To obtain the structural natural frequency, damping ratio and vibration mode, a new modal parameter identification method was proposed by combining the variational mode decomposition with the singular value decomposition. Based on the existing time-frequency parameter identification method, the system frequency response function was estimated according to the measured impulse excitations and accelerations. The inverse Fourier transform was applied to the system frequency response function to obtain the impulse response function. The intrinsic mode components corresponding to the structural natural frequencies were obtained by executing the variational mode decomposition on the impulse response function for each measuring point. The natural frequencies of intrinsic mode components were extracted, and the intrinsic mode components close to the natural frequency were used as the row vectors to construct the singular value decomposition matrix, and the singular value decomposition was performed on the constructed matrix. The left and right singular value vectors reconstructed by the maximum singular values were used to identify the vibration mode, natural frequency and damping ratio of the structure. The effectiveness of the proposed modal parameter identification method was verified through a four-degree-of-freedom mass-spring-damping theoretical model and a hammering modal test on the vehicle body crossbeam. Research result indicates that in the parameter identification of four-degree-of-freedom theoretical model, the maximum relative errors of system natural frequencies and damping ratios between the identified and theoretical values are no more than 0.025% and 1.490%, respectively. The modal assurance criterions of 1 to 4-order vibration modes between the theoretical and identified values are 0.999, 1.000, 0.999 and 0.999, respectively. In the hammering modal test on the vehicle body crossbeam, the maximum relative errors of natural frequency and damping ratio between the results identified by the proposed method and the theoretical results are not more than 1.57% and 1.47%, respectively, and the theoretical and identified vibration modes have the same trend. Therefore, the proposed method can effectively identify the structural modal parameters.
- vehicle engineering,
- structure,
- modal parameter,
- impulse response function,
- variational mode decomposition,
- singular value decomposition,
- parameter identification

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References

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Structural modal parameter identification method based on variational mode decomposition and singular value decomposition

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