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
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Key words
eccentrically rotating ring /
tangential internal force /
eigenvalue /
stability
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脚注
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