Nonlinear vibration analysis of a double-cable beam structure with nonlinear energy sinks

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-12-10 DOI:10.1016/j.cnsns.2024.108529

Houjun Kang, Yifei Wang, Yueyu Zhao

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引用次数: 0

Abstract

Nonlinear energy sinks (NESs) have received widespread attention due to their broadband vibration absorption ability. This study investigates the vibration suppression of a double-cable beam structure by NES. Firstly, a mechanical model of the double cable-beam-NES structure was established, and the Hamilton principle was used to derive the motion partial differential equation of the double cable-beam-NES structure. The incremental harmonic balance method (IHBM) was employed to analyze the nonlinear dynamic characteristics of the coupled model subjected to external load excitation, and the impact of NES on reducing vibrations in the composite structure was investigated. In addition, the effect of cables' interaction on the response amplitudes of both the cables and the beam was investigated. The results show that in the absence of NES attachment to cable 2, the NES attached to cable 1 does not effectively suppress the response amplitude of cable 2. Compared with the single cable-beam-NES composite structure, the interaction between the cables significantly inhibits the response amplitude of the cable.

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具有非线性能量汇的双缆梁结构的非线性振动分析

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.