国外文献 > 1.轴承 > 1. 基础理论与机制 > 动力学与稳定性
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| 标 题： |
A continuous model approach for cross-coupled bending vibrations of a rotor-bearing system with a transverse breathing crack
带横向呼吸裂纹的转子-轴承系统的交叉耦合弯曲振动的连续模型方法 |
| 作 者： |
A. C. Chasalevris
C. A. Papadopoulos |
| 关键词： |
Continuum rotor model [连续体转子模型]
Transverse crack [ 横向裂纹]
Rotating crack [ 旋转裂纹]
Coupling [ 联轴器]
Breathing [ 呼吸]
Rotor-bearing system [ 转子轴承系统]
Resilient bearing [ 高弹性轴承] |
| 出版年： |
2009 |
| 期刊名： |
Mechanism and Machine Theory
机构与机器理论 |
| 年卷期： |
2009, vol.44, no.6 |
| 摘 要： |
In this paper, the cross-coupled bending vibrations of a rotating shaft, with a breathing crack, mounted in resilient bearings are investigated. The equations of motion of the continuum and isotropic rotating model of the shaft follow the theory of Rayleigh. The governing equations are coupled in the two main directions, and the partial solution is obtained by solving a linear system of equations, for each time step, taking into account the nonlinearity due to the breathing crack. The coupling is introduced in three different ways: the equations of motion, the resilient bearings and the crack. A main focus is made in the coupling introduction due to crack compliance variance while rotation with the cross-coupling terms of the local compliance matrix due to the crack to be calculated analytically as functions of the rotational angle. The three causes of coupling between the vertical and horizontal vibrations should be distinguished with regard to the effects that each one of them has on the dynamic response of the rotor. Inversely, the existence of each type of coupling in the frequency response could be used to identify the respective cause.
本文研究了安装在弹性轴承中的旋转轴在呼吸裂纹作用下的交叉耦合弯曲振动问题。轴的连续体及各向同性旋转模型的动力学方程遵循瑞利理论。控制方程在两个主方向上相互耦合，通过求解线性方程组获得部分解，每一步时间均考虑了因呼吸裂纹引起的非线性效应。耦合通过三种不同方式引入：运动方程、弹性轴承以及裂纹本身。重点分析了由于裂纹刚度变化而产生的耦合，特别是当裂纹导致局部刚度矩阵的交叉耦合项随旋转角度变化时，该耦合项需以旋转角的函数形式进行解析计算。应区分垂直与水平振动之间耦合的三种成因，并分别分析其对转子动态响应的影响。反之，频率响应中各类耦合的存在也可用于识别相应的耦合原因。 |
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