碰摩转子系统非线性动力学数值模拟分析

发布时间：2018-07-15 09:03

【摘要】：碰摩转子系统是旋转机械中最重要的部件,在工业领域中起着无法替代的作用。随着技术的发展,旋转机械向着高速化、轻型化、高负荷方向发展,对旋转机械提出更高的要求,也给转子系统带来更多的非线性问题,推动了非线性科学以及转子动力学的发展。目前,国内外大部分研究者利用非线性理论以及转子动力学对转子系统碰摩、裂纹以及松动等典型故障做出了大量研究,分析故障转子的分岔与混沌行为,但目前主要对故障转子单一故障研究较多,对耦合故障研究较少,实际中存在多种故障耦合作用对转子系统行为的综合影响。本文由简入深地对故障转子系统进行研究,首先研究了只含有碰摩条件下,不考虑其它因素的故障转子,分析了频率比、偏心量对转子响应的影响；其次研究了含碰摩与裂纹耦合故障转子系统,考虑了材料的非线性以及油膜力作用,分析了裂纹深度、偏心量以及定子刚度对转子响应的影响；最后研究了碰摩-裂纹-松动耦合故障转子系统,分析了裂纹深度、定子刚度以及底座质量对转子响应的影响。本文采用的方法是对微分方程进行无量纲化,采用4阶龙格库塔法对非线性微分方程进行数值模拟,采用分岔图、庞加莱映射图、轴心轨迹图、时域图、频域图分析了三种转子故障所表现出的不同的非线性动力学行为,理论上分析了产生非线性特性的原因,为进一步深入研究转子故障提供了理论依据。最后,总结本文所做的主要工作,提出研究过程中的不足,为以后更好地研究转子故障提供方向以及研究趋势。
[Abstract]:Rub-impact rotor system is the most important part in rotating machinery and plays an irreplaceable role in industrial field. With the development of technology, rotating machinery is developing towards high speed, light weight and high load. It puts forward higher requirements for rotating machinery, and brings more nonlinear problems to rotor system. It promotes the development of nonlinear science and rotor dynamics. At present, most researchers at home and abroad use nonlinear theory and rotor dynamics to do a lot of research on typical faults such as rub-impact, crack and loosening of rotor system, and analyze the bifurcation and chaotic behavior of fault rotor. However, there are many researches on the single fault of the fault rotor and less on the coupling fault. In practice, there are many kinds of fault coupling effects on the behavior of the rotor system. In this paper, the fault rotor system is studied simply and deeply. Firstly, the fault rotor with only rub-impact is studied, and the influence of frequency ratio and eccentricity on rotor response is analyzed. Secondly, the coupling fault rotor system with rub-impact and crack is studied, considering the nonlinearity of material and the action of oil film force, the effects of crack depth, eccentricity and stator stiffness on rotor response are analyzed. Finally, the impact of crack depth, stator stiffness and base mass on rotor response is analyzed. The method used in this paper is dimensionless for differential equations, the fourth order Runge-Kutta method is used for numerical simulation of nonlinear differential equations, bifurcation diagram, Poincare map, axis locus diagram, time domain diagram, etc. The frequency domain diagram is used to analyze the different nonlinear dynamic behaviors of the three rotor faults, and the causes of the nonlinear characteristics are analyzed theoretically, which provides a theoretical basis for further research on the rotor faults. Finally, the paper summarizes the main work done in this paper, and points out the shortcomings in the research process, which provides the direction and research trend for better research on rotor faults in the future.
【学位授予单位】：昆明理工大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH113

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