Dynamics analysis and parameter optimization of a nonlinear energy sink with geometrically nonlinear inerters

This paper examines a nonlinear energy sink (NES) with geometrically nonlinear inerters (GNI-NES) to improve the vibration absorption performance. The force–displacement relationship of the GNI-based mechanism is methodically obtained and a dynamic model for the coupled system is established. The dy...

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Bibliographic Details
Published inNonlinear dynamics Vol. 112; no. 16; pp. 13863 - 13873
Main Authors Jiawen, Chu, Jingjun, Lou, kai, Chai, Ronghua, Li
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.08.2024
Springer Nature B.V
Subjects
Absorption
Algorithms
Automotive Engineering
Classical Mechanics
Control
Dynamic models
Dynamical Systems
Energy
Engineering
Harmonic balance method
Investigations
Mathematical models
Mechanical Engineering
Optimization
Parameters
Peak values
Runge-Kutta method
Vibration
Vibration control
Nonlinear energy sink
Nonlinear inertance mechanism
Parameter optimization
Grey wolf optimization (GWO) algorithm
Harmonic balance method (HBM)
Inerter
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Summary:This paper examines a nonlinear energy sink (NES) with geometrically nonlinear inerters (GNI-NES) to improve the vibration absorption performance. The force–displacement relationship of the GNI-based mechanism is methodically obtained and a dynamic model for the coupled system is established. The dynamic responses of the system are then solved via the harmonic balance method in conjunction with the Runge–Kutta method. The vibration absorption performance of the system is carefully evaluated based on the displacement transmissibility concept, and the parameters are analyzed. In continuing, the grey wolf algorithm is employed to obtain the optimal parameters of the understudied system. The results reveal that compared to the cubic NES, the proposed GNI-NES achieves a lower peak value and thereby exhibits better vibration stability compared to the cubic NES. In addition, these results increase our understanding of GNI-based mechanism operations and help to develop more effective designs of nonlinear passive vibration mitigation systems using inerters.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-024-09781-8