Nonlinear dynamics of ball vibration absorber considering stability, stationarity and rolling-condition boundaries

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration Pub Date : 2025-06-18 DOI:10.1016/j.jsv.2025.119265

Š. Dyk, R. Bulín, J. Rendl

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引用次数: 0

Abstract

The paper presents a detailed nonlinear analysis of a ball vibration absorber (BVA), which consists of a harmonic oscillator with a spherical cavity and a rolling ball as an absorber. Frequency response curves are calculated using the harmonic balance method and pseudo arc length continuation, and stability is assessed using stability analysis applied to modulation equations. This is particularly important at higher excitation amplitudes where the modulation equations provide information on the presence of strongly modulated response regimes. Codimension-2 continuation is used to identify the onset of instability and non-stationary regions with respect to all key design parameters. The study highlights the critical role of the rolling and contact conditions in maintaining the validity of the solution and provides conditions for their satisfaction. The results provide valuable insights into the non-linear dynamic behaviour of the BVA, revealing its effectiveness in vibration reduction and its limitations due to parameter selection and design constraints.

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考虑稳定性、平稳性和滚动边界的球形减振器非线性动力学

本文详细地分析了由带球面腔的谐振子和作为吸振器的滚动球组成的球形吸振器的非线性特性。采用谐波平衡法和伪弧长延进法计算了频率响应曲线，并利用调制方程的稳定性分析对其稳定性进行了评价。在较高的激励幅值下，这一点尤其重要，因为调制方程提供了有关强调制响应机制存在的信息。Codimension-2延拓用于识别有关所有关键设计参数的不稳定和非平稳区域的开始。研究强调了滚动条件和接触条件在保持解的有效性方面的关键作用，并为满足它们提供了条件。结果为BVA的非线性动态行为提供了有价值的见解，揭示了它在减振方面的有效性以及由于参数选择和设计约束而产生的局限性。

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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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.