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<p>Angular installation deviations in automatic ball balancers (ABBs) inevitably induce angular and radial residual vibrations, which hinder complete vibration suppression of the system. A novel ABB configuration is proposed, consisting of a spherical annulus coupled with a freely deflectable orbit capable of rotation about its center in three-dimensional space, enabling the orbital plane of the balls to automatically coincide with the rotor plane and thereby achieving self-compensation for the orbital deviation angle. The governing and equilibrium equations are derived by describing the spatial postures and trajectories of the rotor system, and mechanical analysis is conducted to obtain analytical equilibrium solutions, whose accuracy is verified through numerical integration. The dynamic characteristics of the traditional ABB and the novel ABB are compared, and the changes in their stability regions are discussed under different parameter conditions. The novel ABB effectively compensates for the mounting deviation angle. Besides effectively reducing the amplitude of angular oscillations of the rotor during transient states, it is also capable of completely suppressing the residual angular and radial vibrations caused by the skew mounting of the ABB.</p>

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Dynamics and stability analysis of a novel automatic ball balancer

  • 期刊论文

  • 发表日期：

    2026年4月24日

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  • Chih-Ling Huang,
  • Ming-Cheng Wang

摘要

Angular installation deviations in automatic ball balancers (ABBs) inevitably induce angular and radial residual vibrations, which hinder complete vibration suppression of the system. A novel ABB configuration is proposed, consisting of a spherical annulus coupled with a freely deflectable orbit capable of rotation about its center in three-dimensional space, enabling the orbital plane of the balls to automatically coincide with the rotor plane and thereby achieving self-compensation for the orbital deviation angle. The governing and equilibrium equations are derived by describing the spatial postures and trajectories of the rotor system, and mechanical analysis is conducted to obtain analytical equilibrium solutions, whose accuracy is verified through numerical integration. The dynamic characteristics of the traditional ABB and the novel ABB are compared, and the changes in their stability regions are discussed under different parameter conditions. The novel ABB effectively compensates for the mounting deviation angle. Besides effectively reducing the amplitude of angular oscillations of the rotor during transient states, it is also capable of completely suppressing the residual angular and radial vibrations caused by the skew mounting of the ABB.