Effects of tangential internal force on free vibration of eccentrically rotating ring
WANG Yaozhihao1, WANG Fei1, WANG Shiyu1,2,3, LI Haiyang1
1.School of Mechanical Engineering, Tianjin University, Tianjin 300354, China;
2.MOE Key Lab of Mechanism Theory and Equipment Design, Tianjin University, Tianjin 300354, China;
3.Tianjin Municipal Key Lab of Nonlinear Dynamics and Control, Tianjin University, Tianjin 300354, China
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.
王姚志豪，汪菲，王世宇，李海洋. 切向内力对偏心旋转圆环自由振动的影响[J]. 振动与冲击, 2021, 40(17): 7-13.
WANG Yaozhihao1, WANG Fei, WANG Shiyu, LI Haiyang. Effects of tangential internal force on free vibration of eccentrically rotating ring. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(17): 7-13.
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