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Influence of geometric nonlinearity of rectangular plate on vibration reduction performance of nonlinear energy sink

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Abstract

The differences between the vibration reduction of a NES (nonlinear energy sink) on a nonlinear plate and a linear plate are compared, and the effect of NES on the nonlinear plate is mainly analyzed. The nonlinear equations of the plates connected to NES are derived and subsequently solved by the complexification-averaging method and least square method. The amplitude of the first mode of the nonlinear plate is several times higher than that of the linear plate under large excitation when the two plates are attached to identical NES. The amplitudes of the second mode of the two NES equipped plate are similar. However, super-harmonic resonance responses of the two systems are significantly different. The evolution of the higher branch responses in super-harmonic resonance frequency band of the second mode is analyzed, and found to be significantly different with respect to that in the primary resonance frequency band of the first mode.

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Acknowledgments

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

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Authors and Affiliations

  1. Tianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control, School of Mechanical Engineering, Tianjin University of Technology, Tianjin, 300384, China

    Wei-xing Zhang & Jian-en Chen

  2. National Demonstration Center for Experimental Mechanical and Electrical Engineering Education, Tianjin University of Technology, Tianjin, 300384, China

    Wei-xing Zhang & Jian-en Chen

Authors
  1. Wei-xing Zhang
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  2. Jian-en Chen
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Correspondence to Jian-en Chen.

Additional information

Recommended by Editor No-cheol Park

Weixing Zhang is currently a graduate student at Tianjin University of Technology. His research interest is nonlinear vibration control.

Jianen Chen received his Ph.D. degree from Beijing University of Technology. He is currently an Associate Professor at Tianjin University of Technology. His research interest is nonlinear dynamics in mechanical system.

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Zhang, Wx., Chen, Je. Influence of geometric nonlinearity of rectangular plate on vibration reduction performance of nonlinear energy sink. J Mech Sci Technol 34, 3127–3135 (2020). https://doi.org/10.1007/s12206-020-0704-4

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  • DOI: https://doi.org/10.1007/s12206-020-0704-4

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