旋转横梁磁拨静止横梁的阻尼失稳参数共振

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration Pub Date : 2024-11-05 DOI:10.1016/j.jsv.2024.118798

Wei-Che Tai

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引用次数: 0

摘要

在从旋转运动中收集能量的过程中，受到旋转磁场拨动的横梁发挥着重要作用。旋转磁拨涉及脉冲样参数激励，其不稳定机制尚不十分清楚。本文采用多尺度方法进行二阶扰动分析，研究旋转磁拨静止横梁的参数共振。得出了预测主参数共振和组合参数共振的稳定性准则。这些标准用于确定梁中的应变率阻尼何时产生失稳效应。稳定性标准和阻尼的失稳效应通过数值示例进行了证明，并使用 Floquet 理论进行了验证。扰动分析表明，当梁的模态频率间隔很近时，如果静止梁的阻尼低于某一临界值，旋转梁的阻尼会破坏静止梁主参数共振的稳定性，反之亦然。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Damping-destabilized parametric resonances of a rotating beam magnetically plucking a stationary beam

A beam subjected to rotary magnetic plucking plays an important role in energy harvesting from rotational motion. Rotary magnetic plucking involves impulse-like parametric excitation, the instability mechanisms of which are not well understood. This paper presents a second-order perturbation analysis using the method of multiple scales to study the parametric resonances of a rotating beam magnetically plucking a stationary beam. Stability criteria are derived to predict the principal parametric resonance and combination parametric resonance. The criteria are used to determine when strain-rate damping in the beams has the destabilizing effect. The stability criteria and the destabilizing effect of damping are demonstrated through numerical examples and validated using Floquet theory. The perturbation analysis reveals that when the beams have closely spaced modal frequencies, damping in the rotating beam destabilizes the principal parametric resonance of the stationary beam if damping in the stationary beam is below a certain threshold, and vice versa.

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来源期刊

Journal of Sound and Vibration 工程技术-工程：机械

CiteScore

9.10

自引率

10.60%

发文量

551

审稿时长

69 days

期刊介绍： The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application. JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.