球轴承非线性振动解析

Analytical solution of nonlinear vibration of ball bearings

为了便于对球轴承的振动进行定量分析,建立了2自由度的球轴承非线性振动模型,对2自由度球轴承振动的非线性微分方程组进行了简化求解,得到近似解的表达式,以及基频的表达式,并与实际实验结果进行了比较。比较结果显示,理论分析与实际结果是一致的。

In order to analyze the vibration of ball bearings quantitatively,the nonlinear model of two DOFs was presented.The nonlinear differential equations were solved analytically,and the approximate expression of solution was obtained.The fundamental frequency was also presented.Comparing with the results of test,the theoretical results are coincident with the facts.