Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (8): 1135-1154.doi: https://doi.org/10.1007/s10483-021-2757-6

• Articles • Previous Articles     Next Articles

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

Jian'en CHEN1,2, Wei ZHANG3, Jun LIU1,2, Wenhua HU1,2   

  1. 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:2021-04-13 Revised:2021-05-30 Published:2021-07-28
  • Contact: Jian'en CHEN, E-mail:vchenje@163.com
  • Supported by:
    the National Natural Science Foundation of China (Nos. 11872274 and 11702188) and the Tianjin Natural Science Foundation of China (No. 18JCYBJC19900)

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

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals