滚动轴承-转子系统的非线性动力学特性分析

接触非线性和间隙非线性耦合导致滚动轴承 转子系统表现出复杂的动力学特性 ,在工作转速范围内系统会产生分岔混沌振动 ,从而影响系统工作的稳定性和可靠性 ;在计及轴承接触非线性和径向间隙的条件下 ,建立了滚动轴承支承的水平刚性转子系统的非线性动力学模型 ,用数值积分方法得到系统在不同参数域中的相图、轴心轨迹、频谱图及Poincar啨映射图 ,研究了系统响应随转子转速的变化趋势。结果表明 :轴承的径向间隙是决定轴承 转子系统动态响应的一个重要参数。随着间隙的增大 ,混沌响应区变宽 ,轴承的动态刚度减小 ,故在设计滚动轴承 转子系统时 ,应对径向间隙进行优选。

Analysis of the Nonlinear Dynamic Behaviors of a Rolling Bearing-Rotor System

A model was established for a rolling bearing-r ot or system based on rotor dynamics and nonlinear dynamics theory. The nonlinear v ibration of a horizontal rigid rotor supported by a deep groove ball bearing hav ing radial internal clearance is studied. In some typical parameter regions the periodic results, the bifurcation diagrams, the shaft centerline orbit, the phas e portrait, the Poincaré maps and the frequency spectrums of the systems are ac quired with numerical integral method. At the same time, the method for calculat ing the Laypunov exponents of a balanced rotor system is used to determine wheth er the system is in a state of chaos motion. The analytic results in this paper provide the theoretical reference for designing this kind of bearing-rotor syst em.