Motion selection characteristics of a vibrating synchronization system driven by two exciters rotating in opposite directions under sub-resonance and super-resonance states

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (24) : 184-188.

LI Ling-xuan1 CHEN Xiaozhe1,2

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Abstract

Arming at the problem that the steady motion features of a vibrating synchronization system under super-resonance states and sub-resonance states are not clear enough, the model of a vibrating synchronization system driven by two exciters rotating in opposite directions was established to investigate its steady state motion laws under sub-resonance and super-resonance states. Using Lagrange equations, the dynamic equations of the vibrating system were obtained. Then, their steady state solution was obtained with the small parameters method. Adopting Hamilton’s principle, the frequency capture condition, the stability criterion and the motion laws for the system synchronization operation were derived. Finally, the correctness of the theory mentioned above was verified with experiments. The study showed that under super-resonance states, when , the two exciters’ phase difference is close to 0° stably, when , it is close to 180° stably; under sub-resonance states, the results are opposite. The study results provided a theoretical basis and an experimental reference for design of vibrating synchronization machines driven by two exciters rotating in opposite directions.

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vibrating synchronization / sub-resonance / super-resonance / stability criterion

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LI Ling-xuan1 CHEN Xiaozhe1,2. Motion selection characteristics of a vibrating synchronization system driven by two exciters rotating in opposite directions under sub-resonance and super-resonance states[J]. Journal of Vibration and Shock, 2017, 36(24): 184-188

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