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Dynamic stability of thin rectangular plates subjected to excitations provided by three vibrators
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Dynamic stability of thin rectangular plates subjected to excitations provided by three vibrators
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Journal Article
Dynamic stability of thin rectangular plates subjected to excitations provided by three vibrators
2024
Overview
Due to the small size and low speed of existing vibrating mechanical equipment, the vibrating bodies are often considered rigid, and structural vibrations are neglected. However, with the development of vibrating machinery towards large-scale and high-speed directions, it is difficult to avoid structural vibration. Despite this, there is a lack of investigation into the mechanism of the influence of structural vibration on vibrating machinery. This paper presents a study on the vibration performance and stability behavior of a thin rectangular plate vibration system under three vibrator excitations, considering self-synchronization and the Sommerfeld effect. The theoretical model used is a simple thin rectangular plate structure. Firstly, the modal shape and frequency equations of the thin rectangular plate are obtained using the semi-inverse method. Subsequently, the differential equations of the motion of the system are derived. Moreover, the conditions for synchronization and stability of the vibration system are determined using the average perturbation method. The theoretical results are then compared with simulation and experimental results to verify their correctness. Finally, the effects of unbalance masses and installation positions of vibrators on self-synchronization behavior, the Sommerfeld effect, and the dynamic response of the vibration system are discussed.
Publisher
Springer Netherlands,Springer Nature B.V
Subject
/ Control
