Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

3D Dynamic Deduction and the Spatial Geometric Characteristic of Rotor System equipped with a Skew-Mounted Automatic Ball Balancer

Version 1 : Received: 29 June 2023 / Approved: 29 June 2023 / Online: 30 June 2023 (02:38:42 CEST)

How to cite: Wang, M.-C.; Huang, C.-L. 3D Dynamic Deduction and the Spatial Geometric Characteristic of Rotor System equipped with a Skew-Mounted Automatic Ball Balancer. Preprints 2023, 2023062129. https://doi.org/10.20944/preprints202306.2129.v1 Wang, M.-C.; Huang, C.-L. 3D Dynamic Deduction and the Spatial Geometric Characteristic of Rotor System equipped with a Skew-Mounted Automatic Ball Balancer. Preprints 2023, 2023062129. https://doi.org/10.20944/preprints202306.2129.v1

Abstract

This paper aims the automatic ball balancers (ABBs) used in passive balancing devices for suppressing vibration of the eccentric rotor. The system model describes which equipped with a skew-mounted ABB with angular deviation. The dynamic equilibrium equations of the system are deduced from the perspective of three-dimensional (3D) dynamics. The results obtained are consistent with those derived from the Euler-Lagrange equations. It is exciting that the spatial dynamics method reveals the spatial geometric characteristic of dynamic balance positioning of the balls when the system is balanced with vibration suppression. The spatial property emerges the perpendicular line from each ball to the rotating spindle of the system must pass through the central axis of the orbit perpendicular to the ABB plane. This characteristic is a general rule that can be used to explain the phenomenon of the stable equilibrium positions of the balls in all previously studied cases.

Keywords

automatic ball balancer; eccentric rotor; vibration suppression; three-dimensional dynamics; assembly deviation; skew-mounted; angular deviation; spatial geometric characteristic

Subject

Engineering, Mechanical Engineering

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