用户名 密 码 登 录 忘记密码 免费注册

网站会员中心 | 设为首页 | 加入收藏

 您好，欢迎光临中国轴承行业网         退出登陆

会员中心 | 设为首页 | 加入收藏

协会

统计

国外文献 > 1.轴承 > 1. 基础理论与机制 > 摩擦与润滑

关键词搜索：

标 题： A Computational Investigation of the Disk-Housing Impacts of Accelerating Rotors Supported by Hydrodynamic Bearings
基于流体动力轴承支撑的转子加速对圆盘壳体影响的计算研究
作 者： Jaroslav Zapomel
Petr Ferfecki
关键词： Accelerating rotors  [加速转子]
Nonlinear equations of motion  [ 非线性运动方程]
Hydrodynamic bearings  [ 水动力轴承]
Disk-housing impacts  [ 磁盘外壳的影响]
Reynolds equation  [ 雷诺方程]
Hertz theory  [ 赫兹理论]
Runge-Kutta method  [ 龙格-库塔方法]
出版年： 2011
期刊名： Journal of Applied Mechanics
应用力学杂志
年卷期： 2011, vol.78, no.2
摘 要： As the radial clearance between disks and the casing of rotating machines is usually very narrow, excessive lateral vibration of accelerating rotors passing critical speeds can produce impacts between the disks and the housing. The computer modeling method is an important tool for investigating such events. In the developed procedure, the shaft is flexible and the disks are absolutely rigid. The hydrodynamic bearings and the impacts are implemented in the mathematical model by means of nonlinear force couplings. Most of the publications and computer codes from the field of rotor dynamics are referred only in the case when the rotor turns at a constant angular speed and in simple cases of disk-housing impacts. Moreover, if the disks turning at variable speed are investigated, the resulting form of the equations of motion derived by different authors slightly differs and the differences depend on the method used for their derivation. Therefore, particular emphasis in this article is given to the derivation of the motion equations of a continuous rotor turning with variable revolutions to explain the mentioned differences, to develop a computer algorithm enabling the investigation of cases when impacts between an arbitrary number of disks and the stationary part take place, and to analyze the mutual interaction between the impacts and the fluid film bearings. The Hertz theory is applied to determine the contact forces. Calculation of the hydrodynamic forces acting on the bearings is based on solving the Reynolds equation and taking cavitation into account. Lagrange equations of the second kind and the principle of virtual work are used to derive equations of motion. The Runge-Kutta method with an adaptive time step is applied for their solution. The applicability of the developed procedure was tested by computer simulations. The results show that it can be used for the modeling of complex rotor systems and that the short computational time enables carrying out calculations for a number of design and operation parameters.

由于旋转机械中转子与壳体之间的径向间隙通常非常狭窄，当加速的转子通过临界转速时，其横向振动过大可能导致转子与壳体之间发生碰撞。计算机建模方法是研究此类现象的重要工具。在已开发的模型中，轴为柔性结构，而转子盘则完全刚性。流体动力轴承和碰撞作用通过非线性力耦合方式纳入数学模型。目前大多数关于转子动力学领域的文献和计算程序仅在转子以恒定角速度旋转以及转子盘与壳体碰撞的简单情况中被引用。此外，若研究的是转速可变的转子，则不同作者所推导出的动力学方程形式略有差异，这些差异取决于所采用的推导方法。因此，本文特别强调了连续转子在变转速下运动方程的推导，以解释上述差异； 开发了一种计算机算法，用于研究任意数量的圆盘与静止部分之间发生碰撞的情况； 并分析了碰撞与流体薄膜轴承之间的相互作用。通过应用赫兹理论确定接触力。轴承所受的水动力学力计算基于求解雷诺方程，并考虑了空化效应。利用拉格朗日二阶方程和虚功原理推导运动方程，采用具有自适应时间步长的龙格-库塔方法进行求解。通过计算机仿真验证了该方法的适用性。结果表明，该方法可用于复杂转子系统的建模，且计算时间短，便于对多种设计和运行参数进行计算。
中文内容为网络AI翻译，专业术语未必准确，仅供参考。

VIP网员

联系我们 | 登录注册 | 会员管理 | 网员服务 | 服务信息 | 广告服务 | 高薪聘请 | 法律声明 | 关于我们

京公网安备 11010202009788    京ICP备2021015424号