切向内力对偏心旋转圆环自由振动的影响

王姚志豪,汪菲,王世宇,李海洋

振动与冲击 ›› 2021, Vol. 40 ›› Issue (17) : 7-13.

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (17) : 7-13.
论文

切向内力对偏心旋转圆环自由振动的影响

  • 王姚志豪1,汪菲1,王世宇1,2,3,李海洋1
作者信息 +

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

  • WANG Yaozhihao1, WANG Fei1, WANG Shiyu1,2,3, LI Haiyang1
Author information +
文章历史 +

摘要

针对工程领域广泛应用的环状结构,研究了偏心运动对切向内力、固有特性及稳定性的影响。采用微元法及叠加原理计算了离心力与支反力引起的切向内力分布,根据Hamilton原理在惯性系下建立了动力学模型。采用经典振动理论求解特征值,并利用对比方法研究了切向内力对动力学行为的影响,揭示了切向内力、转速、偏心距、固有特性及动力稳定性之间的关系。采用数值方法求解时域动态响应,验证了结果的正确性。

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.

关键词

偏心旋转圆环 / 切向内力 / 特征值 / 稳定性

Key words

eccentrically rotating ring / tangential internal force / eigenvalue / stability

引用本文

导出引用
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[J]. Journal of Vibration and Shock, 2021, 40(17): 7-13

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