含Alford力的非线性转子-滚动轴承系统动力分析

摘要/Abstract

摘要：

将非线性滚动轴承力模型与Alford力模型相结合，建立了转子系统的动力学模型，并研究了Alford力和非线性滚动轴承力共同作用下转子系统的非线性动力学特性。其中，将滚动轴承的实际接触角考虑进滚动轴承的模型中，并将改进后的滚动轴承模型与已有的结论作比较，达到了较好的一致性，说明用该模型来分析转子系统的动特性是可行的。继而针对角速度等因素对耦合系统动态响应的影响进行了仿真计算，给出了系统响应随转子角速度变化、滚动轴承间隙变化和转子偏心变化的分岔图，以及一些典型的Poincare截面映射图和功率谱图。数值仿真表明，在Alford力与滚动轴承力的共同作用下，系统呈现了复杂的动力学行为，产生了周期、拟周期和混沌等丰富的振动现象。

关键词:

转子, 滚动轴承, Alford力, 非线性动力学, 分岔

Abstract:

Under the conditions of both the nonlinear ball bearing force and Alford force, a dynamic model of the rotor system was set up. Then nonlinear dynamic properties of rotor-ball bearing with Alford force were studied by means of numerical stimulation. The nominal contact angle of the ball bearing was introduced in the improved ball bearing method. And the result is in good agreement with the previous conclusions, so it is feasible using this method to predict the dynamic characteristics of a rotor system. By using the numerical value integral method, the influences of a series of factors on the nonlinear dynamic behaviors of the coupled system were studied. By changing the values of the rotation speeds, the ball bearing clearance and the rotor eccentricity, the bifurcation diagram was obtained respectively. Meanwhile the pictures of some typical Poincare maps and frequency spectra were also given. From the results of the numerical simulation, it is found that there are periodic motion, approximate-periodic motion and chaos motion under combined Alford force and ball bearing.

Key words: rotor, ball bearing, Alford force, nonlinear dynamics, bifurcation

中图分类号:

TK263.6

成玫1, 孟光2.

含Alford力的非线性转子-滚动轴承系统动力分析

[J]. 中国机械工程, 2011, 22(23): 2806-2812.

CHENG Mei-1, MENG Guang-2.

Dynamic Analysis of a Rotor-ball Bearing Nonlinear System with Alford Force

[J]. China Mechanical Engineering, 2011, 22(23): 2806-2812.

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