双圆盘转子系统混沌运动分析 毕业论文.doc

毕业论文 毕 业 论 文 题 目 双圆盘转子系统混沌运动分析 学院专业班级 学 生 姓 名 性别 指 导 教 师 职称 2012年 6 月18日 摘要 建立了转子系统局部碰摩动力学模型,利用数值积分和Poincaré映射方法,对转子系统由于局部碰摩耦合故障导致的非线性动力学行为进行了数值仿真研究,给出了系统响应随转子转动频率和偏心量变化的分图分析了转子系统动力学行为的影响,以及一些典型相平面图、轴心轨迹等。通过对发生碰摩与基础松动耦合故障时的实测结果验证了数值分析的正确性。,发现阻尼、定子径向刚度和偏心距等参数明显影响系统运动特性。 结果表明以转速为分叉参数时, 转子系统响应经历了数次从混沌到周期解,再到混沌，再到周期解的过程,即混周交替出现过程, 系统响应以拟周期运动为主并伴有混沌运动。加大阻尼减小定子径向刚度能减小发生碰摩的范围, 系统通往混沌的道路以典型的倍周期分叉为主。以摩擦系数、径向刚度、轴段长度为分叉参数时转子系统系统响应拟周期或混沌运动为主,其间含有阵发性离开混沌和阵发性进入混沌及若干周期解。 关键词:转子;碰摩;混沌Abstract Establish the local rubbing rotor system dynamics model, using numerical integral and Poincare mapping method, displaced because of local rubbing coupled subsystems malfunction caused the nonlinear dynamic behavior in numerical simulation study, gives the system response with the rotor rotating frequency and volume of eccentric changes bifurcation diagram. Analyzing the foundation loose upon dynamic behaviors of the quality of subsystems, and the influence of some typical phase plan, axis path chart, etc. Through to the stator and rotor happen with loose coupling based rubbing fault when the measured results verify the correctness of the numerical analysis. Through the respectively to speed n, friction coefficient f, radial stiffness kr, shaft length for a bifurcation parameter of the rotor system at the fork of the local rubbing with chaos behavior analysis, found the radial. The results showed that While the rotation speed was taken as the furcation parameter, the response of rotor system would go through the processes for several tmies from chaos to periodical solution and again to chaos and once more to periodical solution, namely appearing a process of chaos and periodical solution alternately. Increasing the damping and reducing the stator radial stiffness would decrease the rubbing scope. The ways lead to chaos was mainly double periodic furcation. When taking the rotation speed , the f