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On the stability of pairs of subharmonic centrifugal pendulum vibration absorbers allowing a rotational mobility
Nonlinear Dynamics ( IF 5.2 ) Pub Date : 2023-08-22 , DOI: 10.1007/s11071-023-08828-6
Vincent Mahé , Alexandre Renault , Aurélien Grolet , Hervé Mahé , Olivier Thomas

Centrifugal pendulum vibration absorbers (CPVAs) are passive devices used to reduce torsional vibrations in rotating machines. Previous works showed that a CPVA configuration with two pendulums oscillating in phase opposition and at half the excitation frequency is efficient in reducing the rotor’s vibrations. This paper deals with a new generation of CPVAs, in which the pendulums admit a rotational motion relative to the rotor in addition to the traditional translational motion. The aim of this study is to assess the dynamic stability of a particular subharmonic solution of CPVAs composed of several pairs of pendulum. To do so, a new method based on an analytical perturbation technique is proposed. It leads to more general conclusions than previous studies as the results are derived for CPVAs with any even number of rocking pendulums. The validity of the analytical model is confirmed through a comparison with numerical resolutions of the system’s dynamics, and new design guidelines are proposed.



中文翻译:

关于允许旋转运动的分谐波离心摆减振器对的稳定性

离心摆减振器 (CPVA) 是用于减少旋转机器扭转振动的被动装置。先前的研究表明,具有两个反相摆且以激励频率一半振荡的 CPVA 配置可有效减少转子振动。本文讨论了新一代 CPVA,其中除了传统的平移运动之外,摆还允许相对于转子的旋转运动。本研究的目的是评估由多对摆组成的 CPVA 特定次谐波解的动态稳定性。为此,提出了一种基于分析扰动技术的新方法。与之前的研究相比,它得出了更普遍的结论,因为结果是针对具有任意偶数个摇摆摆的 CPVA 得出的。

更新日期:2023-08-23
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