含松动与碰摩的转子—轴承系统非线性动力学分析

发布时间：2018-08-21 08:10

【摘要】：大型旋转机械的安全运行对于社会生活和经济发展是至关重要的，支座松动和碰摩是大型旋转机械的常见故障。为深入了解转子松动故障的机理，本文对含松动与碰摩的转子-轴承系统的复杂非线性动力学行为进行了系统的理论分析和数值计算研究： 1.考虑支座松动和转定子之间局部碰摩，建立了转子系统的非线性动力学模型，将动力学模型标准化为6个量纲一的一阶非线性微分方程。采用Fortran软件进行了数值计算，讨论不同转速和偏心量等参数，转子系统的周期和混沌运动。利用编程绘制了时程曲线、相图、轴心轨迹、庞加莱映射等特性曲线，，给出了转速一定，转子系统随偏心量变化的分岔图。 2.考虑支座松动和非线性油膜力，建立了转子—轴承系统的非线性动力学模型。将动力学模型标准化为14个量纲一的一阶非线性微分方程，利用Matlab编程，运用数值积分方法获取了系统的非线性动力响应，分析了转子转速、转子偏心量及轴承座质量对系统动力响应的影响，并运用分岔图、相图以及庞加莱映射进行了系统分岔与混沌特征分析，以及给出了偏心量一定，支座质量和转速变化的系列分岔图。 3.同时考虑支座松动、碰摩力和非线性油膜力，建立了转子—轴承系统的非线性动力学模型。利用4阶Rounge-Kutta法求解非线性动力学方程,运用Matlab对系统进行数值模拟,通过分析相图、分岔图、Poincare截面图以及幅值谱图,得出系统丰富的非线性特性，绘制了支座质量一定，偏心量和转速变化的系列分岔图。综上所述，本文通过研究转子—轴承系统：1支座松动与碰摩耦合；2支座松动与油膜力耦合；3支座松动、碰摩和油膜力同时耦合，三种情况的非线性动力学变化规律，为转子系统稳定运行以及故障诊断提供了理论和应用参考。
[Abstract]:The safe operation of large rotating machinery is of great importance to social life and economic development, and the loosening of bearings and rub-impact are the common faults of large rotating machinery. In order to deeply understand the mechanism of rotor loosening fault, the complex nonlinear dynamic behavior of rotor-bearing system with loosening and rubbing is systematically analyzed and numerically calculated in this paper: 1. In this paper, the nonlinear dynamic model of rotor system is established by considering the local rub-impact between the support loosening and the rotor. The dynamic model is standardized as the first order nonlinear differential equation with six dimensions and one dimension. The numerical calculation is carried out by using Fortran software. The period and chaotic motion of rotor system are discussed with different rotational speed and eccentricity. The characteristic curves of time history curve, phase diagram, axis locus and Poincare map are plotted by programming. The bifurcation diagram of rotor system with eccentricity is given. 2. The nonlinear dynamic model of rotor-bearing system is established considering the loosening of bearing and nonlinear oil film force. The first order nonlinear differential equation with 14 dimensions is standardized. The nonlinear dynamic response of the system is obtained by using the numerical integral method and the Matlab programming. The rotor speed is analyzed. The effects of rotor eccentricity and bearing mass on the dynamic response of the system are analyzed. The bifurcation and chaos characteristics of the system are analyzed by using bifurcation diagram, phase diagram and Poincare map, and the certain eccentricity is given. Series bifurcation diagrams for mass and rotational speed variations of bearings. 3. At the same time, the nonlinear dynamic model of rotor-bearing system is established considering the support loosening, rub-impact force and nonlinear oil film force. The fourth order Rounge-Kutta method is used to solve the nonlinear dynamic equation, and Matlab is used to simulate the system. By analyzing the phase diagram, bifurcation diagram and amplitude spectrum, the rich nonlinear characteristics of the system are obtained, and the bearing mass is given. A series of bifurcation diagrams of eccentricity and rotational speed variation. To sum up, this paper studies the nonlinear dynamic change of rotor-bearing system by loosening and rub-rubbing coupling support loosening and oil-film force coupling support loosening, rub-impact and oil film force coupling. It provides a theoretical and practical reference for rotor system stable operation and fault diagnosis.
【学位授予单位】：河北工业大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TH133.3;TH113

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