Effects of tangential internal force on free vibration of eccentrically rotating ring

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (17) : 7-13.

WANG Yaozhihao1, WANG Fei1, WANG Shiyu1,2,3, LI Haiyang1

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Abstract

Here, aiming at ring structures widely used in engineering field, effects of a ring’s eccentrically rotating motion on its tangential internal force, natural vibration characteristics and stability were studied.The distribution of the ring’s tangential internal force caused by centrifugal force and support reaction force was derived using the micro-element method and the superposition principle.The ring’s dynamic model was established in inertial frame according to Hamilton principle.The classical vibration theory was used to solve the model’s eigenvalues, and effects of tangential internal force on the ring’s dynamic behavior were studied with the contrastive method to reveal relations among tangential internal force, rotating speed, eccentricity, natural vibration characteristics and dynamic stability.The ring’s time-domain dynamic responses were solved using numerical simulation to verify the correctness of the theoretical study results mentioned above.

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eccentrically rotating ring / tangential internal force / eigenvalue / stability

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WANG Yaozhihao1, WANG Fei, WANG Shiyu, LI Haiyang. Effects of tangential internal force on free vibration of eccentrically rotating ring[J]. Journal of Vibration and Shock, 2021, 40(17): 7-13

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