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Nonlinear Vibration Analysis of an Elastic Rotor Supported on Angular Contact Ball Bearings Considering Six Degrees of Freedom and Waviness on Balls and Races

机译:考虑球和座圈六个自由度和起伏度的角接触球轴承上弹性转子的非线性振动分析

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Nonlinear vibration analysis of an elastically deformable shaft supported on two lubricated angular contact ball bearings is reported herein considering six-degrees of freedom (6-DOF) and waviness on races and balls. This is an extension work of the investigation published by the authors Babu, C. K., Tandon, N., and Pandey, R. K., 2012, "Vibration Modeling of a Rigid Rotor Supported on the Lubricated Angular Contact Ball Bearings Considering Six Degree of Freedom and Waviness on Balls and Races," ASME J. Vib. Acoust., 134, p. 011006. Elastic deformation of shaft, frictional moment, and waviness on races and balls have been incorporated in the model for the vibration investigations of rotor's CG. Two noded 3D Timoshenko beam element having 6-DOF has been employed in the computation of the shaft's deformation. Governing equations with appropriate boundary conditions have been solved using 4th order Runge-Kutta method. It is observed that vibration amplitude enhances considerably after incorporating the elastic deformation in comparison to the amplitude achieved using rigid rotor model approach. Moreover, the influence of outer race's radial waviness is large on the amplitudes of vibrations in comparison to radial waviness of inner race. However, it is worth noting here that in case of rigid rotor model the presence of radial waviness on inner race yields high amplitudes of vibrations.
机译:本文报道了考虑到六个自由度(6-DOF)以及在座圈和球上起伏的情况,对支撑在两个润滑角接触球轴承上的可弹性变形轴的非线性振动分析。这是作者Babu,CK,Tandon,N.和Pandey,RK,2012发表的研究的扩展工作,“考虑到六个自由度和波纹度的刚性支承在润滑角接触球轴承上的转子的振动建模”关于球和种族”,ASME J. Vib。 Acoust。,第134页。 011006.模型中包含了轴的弹性变形,摩擦力矩以及座圈和滚珠上的波纹度,用于研究转子CG的振动。具有六自由度的两节点3D Timoshenko梁单元已用于轴变形的计算。具有适当边界条件的控制方程已使用四阶Runge-Kutta方法求解。可以看出,与使用刚性转子​​模型方法获得的振幅相比,在加入弹性变形后,振动振幅显着提高。而且,与内圈的径向波度相比,外圈的径向波度对振动幅度的影响大。但是,在此处值得注意的是,在刚性转子模型的情况下,内圈上的径向波纹会产生高振幅的振动。

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