磁增强弹簧拉杆双稳态非线性能量汇的非线性动力学分析与设计

IF 8.9 1区 工程技术 Q1 ENGINEERING, MECHANICAL
Peng Chen , Ji-Hou Yang , Ying-Jing Qian , Xiang-Ying Guo , Xiao-Dong Yang
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引用次数: 0

摘要

虽然双稳态网元(BNES)在能量阈值方面优于传统的单稳态网元,但其振荡幅度更大。过度振荡不仅影响稳定性,而且对线性振荡器(LO)产生干扰。为了有效地限制其自身的振荡,同时增强其对LO的振动抑制,改善其动态特性,本研究提出了一种磁体增强弹簧拉杆BNES (MBNES)。首先,计算了永磁体施加的磁力和弹簧拉杆的非线性恢复力,建立了mnnes - lo耦合系统的动力学方程。利用复变平均和多尺度分析,导出了系统的慢不变流形(SIM)。在此基础上,利用时间位移响应、相图、SIM、小波变换、幅频响应曲线和能量耗散率等多种技术,进一步研究了系统的动态特性和振动抑制性能。这些分析旨在评估所提出的模型是否提高了传统BNES的性能,同时研究了外部激励幅度、刚度、阻尼等参数的影响。最后,构建了物理样机,并进行了实验验证,以评估其有效性。结果表明,非线性磁力有效地抑制了BNES的振动,提高了对最大LO幅值的抑制,降低了能量阈值,促进了强调制响应(SMR)的发生。总之,本研究提出了一种可靠有效的减震策略,为工程应用中的减震系统设计提供了有价值的见解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonlinear dynamics analysis and design of bistable nonlinear energy sinks of magnet-enhanced spring-tie rods
Although bistable NES (BNES) outperforms traditional monostable NES in terms of energy threshold, it exhibits larger oscillation amplitudes. Excessive oscillation not only affects stability but also interferes with the linear oscillator (LO). To effectively limit its own oscillations while enhancing vibration suppression for the LO and improving its dynamic characteristics, this study proposes a magnet-enhanced spring-tie rods BNES (MBNES). First, the magnetic force exerted by the permanent magnet and the nonlinear restoring force of the spring-tie rods are calculated, and the dynamical equation for the coupled MBNES-LO system is established. Using complex-variable averaging and multiscale analysis, the system’s slow invariant manifold (SIM) is derived. Building on this, the system’s dynamic behavior and vibration suppression performance are further examined using various techniques, including time displacement responses, phase diagrams, SIM, wavelet transforms, amplitude-frequency response curves, and energy dissipation rates. These analyses aim to evaluate whether the proposed model enhances the performance of traditional BNES while investigating the effects of parameters such as external excitation amplitude, stiffness, damping, and others. Lastly, a physical prototype is constructed, and experimental validation is performed to assess its effectiveness. The results show that the nonlinear magnetic force effectively reduces the vibration of BNES, improves the suppression of the maximum LO amplitude, and lowers the energy threshold, facilitating the occurrence of strongly modulated response (SMR). In conclusion, the MBNES introduced in this study presents a dependable and efficient vibration reduction strategy, providing valuable insights for the design of NES in engineering applications.
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来源期刊
Mechanical Systems and Signal Processing
Mechanical Systems and Signal Processing 工程技术-工程:机械
CiteScore
14.80
自引率
13.10%
发文量
1183
审稿时长
5.4 months
期刊介绍: Journal Name: Mechanical Systems and Signal Processing (MSSP) Interdisciplinary Focus: Mechanical, Aerospace, and Civil Engineering Purpose:Reporting scientific advancements of the highest quality Arising from new techniques in sensing, instrumentation, signal processing, modelling, and control of dynamic systems
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