Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations

Jian'en CHEN, Wei ZHANG, Jun LIU, Wenhua HU

doi:10.1007/s10483-021-2757-6

Applied Mathematics and Mechanics >

2021 , Vol. 42 >Issue 8: 1135 - 1154

DOI: https://doi.org/10.1007/s10483-021-2757-6

Articles

Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations

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1. Tianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control, School of Mechanical Engineering, Tianjin University of Technology, Tianjin 300384, China;
2. National Demonstration Center for Experimental Mechanical and Electrical Engineering Education, Tianjin University of Technology, Tianjin 300384, China;
3. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China

Received date: 2021-04-13

Revised date: 2021-05-30

Online published: 2021-07-28

Supported by

the National Natural Science Foundation of China (Nos. 11872274 and 11702188) and the Tianjin Natural Science Foundation of China (No. 18JCYBJC19900)

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Abstract

Nonlinear energy sink (NES) can passively absorb broadband energy from primary oscillators. Proper multiple NESs connected in parallel exhibit superior performance to single-degree-of-freedom (SDOF) NESs. In this work, a linear coupling spring is installed between two parallel NESs so as to expand the application scope of such vibration absorbers. The vibration absorption of the parallel and parallel-coupled NESs and the system response induced by the coupling spring are studied. The results show that the responses of the system exhibit a significant difference when the heavier cubic oscillators in the NESs have lower stiffness and the lighter cubic oscillators have higher stiffness. Moreover, the efficiency of the parallel-coupled NES is higher for medium shocks but lower for small and large shocks than that of the parallel NESs. The parallel-coupled NES also shows superior performance for medium harmonic excitations until higher response branches are induced. The performance of the parallel-coupled NES and the SDOF NES is compared. It is found that, regardless of the chosen SDOF NES parameters, the performance of the parallel-coupled NES is similar or superior to that of the SDOF NES in the entire force range.

Key words： coupling influence; nonlinear energy sink (NES); vibration absorption

Cite this article

Jian'en CHEN, Wei ZHANG, Jun LIU, Wenhua HU . Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations[J]. Applied Mathematics and Mechanics, 2021 , 42(8) : 1135 -1154 . DOI: 10.1007/s10483-021-2757-6

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