Stability analysis of nonlinear synchronous vibration in an inclined rotor system supported by journal bearing with variational gravity

IF 4.3 2区 工程技术 Q1 ACOUSTICS
Li Fan, Tsuyoshi Inoue, Akira Heya
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引用次数: 0

Abstract

In vertical rotating shaft-bearing systems, synchronous vibration undergoes destabilization and stabilization owing to the self-excited vibration. Recently, these phenomena have been clarified numerically, experimentally, and analytically based on a newly proposed analytical method. In this method, a two-step linearization of the nonlinear journal bearing (JB) force and generalized eigenvalue analysis are proposed to directly determine the stability of the synchronous orbit. However, this method cannot be used directly for inclined-rotor systems with a large gravitational effect. Moreover, stability changes caused by gravity variations in inclined-rotor systems have not been fully investigated. This study extended the analytical method to one with weighted average dynamic coefficients to efficiently predict the stability changes of synchronous whirling vibrations in inclined rotor systems. The extended analytical method clearly clarifies gravity-induced stability changes in comparison with the numerical (shooting) method. Our analytical method enhances the ability of rotor dynamics software to calculate the stability thresholds of inclined rotor systems with gravity variations.
具有可变重力的轴颈轴承支撑的倾斜转子系统中非线性同步振动的稳定性分析
在垂直旋转轴承系统中,同步振动会因自激振动而发生失稳和稳定现象。最近,基于一种新提出的分析方法,对这些现象进行了数值、实验和分析。在该方法中,提出了非线性轴颈轴承(JB)力的两步线性化和广义特征值分析,以直接确定同步轨道的稳定性。然而,这种方法不能直接用于具有较大重力效应的倾斜转子系统。此外,斜转子系统中由重力变化引起的稳定性变化尚未得到充分研究。本研究将分析方法扩展为具有加权平均动态系数的方法,以有效预测倾斜转子系统中同步漩涡振动的稳定性变化。与数值(射击)方法相比,扩展的分析方法清楚地阐明了重力引起的稳定性变化。我们的分析方法提高了转子动力学软件计算有重力变化的倾斜转子系统稳定性阈值的能力。
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来源期刊
Journal of Sound and Vibration
Journal of Sound and Vibration 工程技术-工程:机械
CiteScore
9.10
自引率
10.60%
发文量
551
审稿时长
69 days
期刊介绍: The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application. JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.
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