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首页> 外文期刊>Journal of the Institution of Engineers (Inida) >Stability Analysis of a Spinning and Precessing Viscoelastic Rotor Model
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Stability Analysis of a Spinning and Precessing Viscoelastic Rotor Model

机译：自旋进动的粘弹性转子模型的稳定性分析

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摘要

The present work deals with stability analysis of a spinning and precessing gyroscopic systems, where the spin axis and precession axis intersect at right angle. The nutation speed is zero, the spin and precession speeds are considered to be uniform and the precession axis is located at one end of the shaft. The properties of the shaft material correspond to a four element type linear viscoelastic model. The shaft disk system is assumed to be axially and torsionally stiff. For analysis, a simple rotor has been considered with the rigid disk placed on a massless viscoelastic shaft at specified locations from one end of the shaft. The governing parametric equations for such a rotor are derived in the simultaneously spinning and precessing frame. A stability analysis is performed considering both two- and four-degree of freedom models. The stability borderlines are computed considering spin and precession speeds as parameters. It is shown that though viscoelastic material may appear attractive for its large material damping, for gyroscopic systems it may lead to unstable vibrations.
机译：本工作涉及自旋和进动陀螺系统的稳定性分析，其中旋转轴和进动轴成直角相交。章动速度为零，旋转速度和进动速度被认为是一致的，进动轴位于轴的一端。轴材料的属性对应于四元素类型的线性粘弹性模型。假设轴盘系统具有轴向和扭转刚度。为了进行分析，已经考虑了一种简单的转子，将刚性磁盘放置在无质量的粘弹性轴上，位于轴一端的指定位置。在同时旋转和进动的框架中导出了此类转子的控制参数方程式。同时考虑了两个和四个自由度模型进行了稳定性分析。将自旋和进动速度作为参数来计算稳定性边界线。结果表明，尽管粘弹性材料因其较大的材料阻尼而显得吸引人，但对于陀螺系统而言，它可能导致不稳定的振动。

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