双圆弧修正摆线齿轮行星轮系啮合性能的研究.doc

碰摩转子系统非线性动力学数值模拟分析 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。 关键字：碰摩；裂纹；松动；庞加莱映射 Researching on the nonlinear dynamics of rub-impact rotor system by numerical simulation Abstract Rotor system with rub-impact is the most important component of rotary machinery, which plays an irreplaceable role in the field of industry. With the development of technology, rotating machinery is towards high-speed, light-weight, high load direction, so the rotating machinery needs higher requirements and also brings about more rotor system nonlinear problems, promoting the developments of nonlinear science and rotor dynamics. At present, most of the researchers have made a lot of researches on typical faults of rubbing, crack and loosen by using the theories of nonlinear rotor system and rotor dynamics, analyzing bifurcation and chaos behaviors of rotor, but mainly studying on single fault of rotor more and on coupling fault less, the actual existence of various coupling faults of rotor system have comprehensive effected on nonlinear behavior. The rotor system fault was studied from simply to deeply, firstly studying the influence of rotor system only with rub-impact condition without considering other rotor faults by the frequency ratio and the deflection; secondly studying the influence of rotor system with the rub-impact and crack coupling faults, considering material nonlinearity and oil film force by the crack depth,