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

• Published in: Applied mathematics and mechanics Vol. 42; no. 8; pp. 1135 - 1154
• Main Authors: Chen, Jian’en, Zhang, Wei, Liu, Jun, Hu, Wenhua
• Format: Journal Article
• Language: English
• Published: Shanghai Shanghai University 01.08.2021; Springer Nature B.V; Tianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control,School of Mechanical Engineering,Tianjin University of Technology,Tianjin 300384,China; National Demonstration Center for Experimental Mechanical and Electrical Engineering Education,Tianjin University of Technology,Tianjin 300384,China%Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures,College of Mechanical Engineering,Beijing University of Technology,Beijing 100124,China
• Edition: English ed.
• Subjects: Absorption; Applications of Mathematics; Broadband; Classical Mechanics; Coupling; Degrees of freedom; Excitation; Fluid- and Aerodynamics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Oscillators; Partial Differential Equations; Stiffness; Vibration; coupling influence; nonlinear energy sink (NES); 74H45; vibration absorption; O327
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-021-2757-6

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 e±ciency 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.