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国外文献 > 1.轴承 > 4. 设计与分析 > 数值方法

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标 题： A computational investigation on the reducing lateral vibration of rotors with rolling-element bearings passing through critical speeds by means of tuning the stiffness of the system supports
通过调整系统支撑刚度，对带滚子轴承的转子在通过临界转速时的横向振动进行计算研究
作 者： Jaroslav Zapomel
Petr Ferfecki
关键词： Accelerating rotors  [加速转子]
Lateral vibration  [ 横向振动]
Critical speeds  [ 临界转速]
Equations of motion  [ 运动方程]
Tuning of the stiffness of the rotor supports  [ 转子支撑刚度的调校]
Newmark method  [ 纽马克方法]
Finite element method  [ 有限元法]
出版年： 2011
期刊名： Mechanism and Machine Theory
机构与机器理论
年卷期： 2011, vol.46, no.5
摘 要： Since there are manufacturing and assembling inaccuracies rotors are always slightly imbalanced. Their rapid angular acceleration leads to an increase in the magnitude of the tangential component of the imbalance forces. The slow acceleration enables the development of an almost steady state vibration. In both cases the amplitude of their oscillation is high. The frequency tuning achieved by changing the stiffness of the rotor supports represents one approach to its attenuation. Stiffness decreases shortly before reaching the critical speed, and after crossover, the stiffness increases again. As almost all publications and computer procedures from the field of rotor dynamics deal only with the case when the rotor turns at a constant angular speed, derivation of the equations of motion of the rotor rotating at variable velocities and investigation of the operating conditions and individual parameters of the supports on the vibration of the rotor passing critical speeds represent the fully new contribution of this paper. The critical revolutions are determined from the Campbell diagram. To solve the equations of motion the Newmark method has been proposed and tested.

由于转子在制造和装配过程中存在误差，其转子总是略带不平衡。快速的角加速度会导致不平衡力切向分量的幅值增大。缓慢的加速则使振动趋于稳定状态。在这两种情况下，振荡的振幅都较高。通过改变转子支撑刚度来实现频率调谐，是抑制此类振动的一种方法。在接近临界转速前，刚度会迅速减小； 而经过临界转速后，刚度又会再次增加。由于几乎所有关于转子动力学领域的文献和计算机程序仅涉及转子以恒定角速度旋转的情况，因此本文对转子在变角速度下运动方程的推导，以及对转子通过临界转速时的运行条件和支撑参数影响的分析，代表了全新的研究贡献。临界转速通过坎贝尔图（Campbell diagram）确定。为求解运动方程，本文提出了并验证了纽马克法（Newmark method）。
中文内容为网络AI翻译，专业术语未必准确，仅供参考。

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