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Steady-state responses of mechanical system attached to non-smooth vibration absorber with piecewise damping and stiffness

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Abstract

The steady-state dynamic characteristics of non-smooth vibration absorbers are investigated. The complexification-averaging method is used to obtain the steady-state response equation of a harmonic excited primary system attached to the non-smooth absorbers, with the equation solved using a Matlab program based on the least square method. Research results indicate that the traditional purely nonlinear absorber loses its efficacy after the excitation amplitude reaches a certain value. The non-smooth absorber with piecewise linear damping, by contrast, can suppress vibration of the primary system within a larger range of excitation amplitude than the purely nonlinear absorber. Then, the cubic stiffness component is substituted by a piecewise stiffness component to further enhance the performance of the above non-smooth absorber and good results are obtained. The non-smooth absorber with both piecewise damping and stiffness shows the stronger vibration absorption performance. In addition, the differences of higher branches of response which induced by the three absorbers are analyzed and discussed.

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (Nos. 11872274, 11402165, 11832002 and 11702188).

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Authors and Affiliations

  1. School of Science, Tianjin Chengjian University, Tianjin, 300384, People’s Republic of China

    Min Sun

  2. Tianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control, School of Mechanical Engineering, Tianjin University of Technology, Tianjin, 300384, People’s Republic of China

    Wen-hua Hu, Jun Liu & Jian-en Chen

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  1. Min Sun
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  2. Wen-hua Hu
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Correspondence to Jian-en Chen.

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Sun, M., Hu, Wh., Liu, J. et al. Steady-state responses of mechanical system attached to non-smooth vibration absorber with piecewise damping and stiffness. Meccanica 56, 275–285 (2021). https://doi.org/10.1007/s11012-020-01288-x

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