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Location identification of nonlinearities in MDOF systems through order determination of state-space models

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Abstract

This paper presents a new time-domain approach to identify locations of nonlinearities in multiple-degree-of-freedom (MDOF) systems. The approach is based on the well-known subspace method and utilizes the analysis of all the subsystems in the original MDOF system to determine locations of nonlinearities. The advantage of the proposed method is that it requires little prior knowledge about the system and does not need sampling under varying force amplitudes. Moreover, the method only needs the sampling of displacement data and thus avoids repetitive direct measurements or indirect numerical differentiation or integration to achieve velocity and acceleration data. In addition, benefitting from the subspace method, the approach is robust in noisy environment. However, one inconvenient drawback of the method is that it may misjudge linearity as nonlinearity under two specific circumstances. Several numerical simulations are carried out to test the performance of the approach, and the results demonstrate the consistency with the theoretical analysis.

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Acknowledgments

The authors gratefully acknowledge that the work was supported by the National Science Fund for Distinguished Young Scholars (11125209) and the National Natural Science Foundation of China (11472170, 51121063) for this work.

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Authors and Affiliations

  1. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China

    M. W. Zhang, Z. K. Peng, X. J. Dong, W. M. Zhang & G. Meng

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  1. M. W. Zhang
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  2. Z. K. Peng
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  3. X. J. Dong
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  4. W. M. Zhang
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  5. G. Meng
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Correspondence to Z. K. Peng.

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Zhang, M.W., Peng, Z.K., Dong, X.J. et al. Location identification of nonlinearities in MDOF systems through order determination of state-space models. Nonlinear Dyn 84, 1837–1852 (2016). https://doi.org/10.1007/s11071-016-2609-4

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  • DOI: https://doi.org/10.1007/s11071-016-2609-4

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