具有可调承载能力和工作频带的同步低频振动缓解和能量收集

IF 3.4 2区 数学 Q1 MATHEMATICS, APPLIED Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-12-30 DOI:10.1016/j.cnsns.2024.108588
Wei Zhang , Muchen Shi , Chaoran Liu , Xiaoyang Su
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引用次数: 0

摘要

振动在工程中通常是有害的,因此需要减轻,然而它们也是有用能量的潜在来源,并且可以加以利用。目前,振动缓解和能量收集的难点是如何同时实现这两个目标,特别是在低频环境中。本文提出了一种由准零刚度气动支架和磁压电悬臂梁组成的同步低频减振和能量收集装置。气动支架使其能够在保持QZS的同时适应不同的负载质量。磁压电悬臂梁的磁间距可以调节,从而产生各种刚度特性,包括非线性正刚度、QZS和双稳性。基于机电耦合方程对其非线性动力学行为进行了研究,并对其性能进行了分析。结果表明,能量收集和减振可以在低频实现,最重要的是能量收集区域位于减振区域内,这意味着两个目标是同步的。对磁间距分岔引起的不同情况进行了研究和讨论。结果表明,产生QZS的磁间距是悬臂梁的最佳选择,通过调节磁间距可以很容易地调节能量收集区域。
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Synchronous low-frequency vibration mitigation and energy harvesting with tunable load bearing capacity and operation band
Vibrations are usually harmful in engineering and thus need to be mitigated, whereas they are also potential sources of useful energy and can be harnessed. Current difficulty in vibration mitigation and energy harvesting is to achieve both objectives synchronously, especially in low-frequency environments. In this paper, a device composed of quasi-zero-stiffness (QZS) pneumatic support and magnetic-piezoelectric cantilever beams is proposed for synchronous low-frequency vibration mitigation and energy harvesting. The pneumatic support enables the adaptability to different load masses while maintaining QZS. The magnetic spacing in the magnetic-piezoelectric cantilever beam can be adjusted to produce various stiffness properties, including nonlinear positive stiffness, QZS, and bistability. The nonlinear dynamic behaviors are studied and the performances are analyzed based on the electromechanical coupled equations. Results indicate that energy harvesting and vibration mitigation can be achieved at low frequencies, and most importantly the energy harvesting region is located within the vibration mitigation region, implying synchronization of the two objectives. Different situations induced by the bifurcation of magnetic spacing are studied and discussed. It is shown that the magnetic spacing that produces QZS for the cantilever beam is the best choice, and the energy harvesting region can be easily tuned by adjusting the magnetic spacing.
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来源期刊
Communications in Nonlinear Science and Numerical Simulation
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.
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