摘要
根据转子动力学、非线性动力学及Hertz理论,建立了带有一端支座松动故障的滚动轴承—质量慢变转子系统的非线性动力学模型。通过数值积分和Poincare映射方法对其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变化的分岔图和一些典型的轴心轨迹图及Poincare截面图,分析了转动频率对转子系统动力学行为的影响。结论表明,转子系统在滚动轴承、支承松动和质量慢变的同时作用下具有复杂的动力学行为,转子系统的起始松动频率为0.6倍的固有频率,转子的周期运动均为多周期运动,转子圆盘和松动质量的运动特性均不稳定等。
A dynamic model of a rotor system with slowly varying mass and pedestal looseness fault was built up, based on rotor dynamics, nonlinear dynamics and Hertz theory. The authors had studied the nonlinear dynamic behaviors caused by pedestal looseness faults using numerical integration and Poincare mapping method. The bifurcation diagrams were given about the response changes with the frequency ratio, and the axle center track maps and Poincare maps at some frequencies were given, too. The conclusions indicate initiative looseness frequency of the rotor is at 60% intrinsic frequency, and the periodic movements are all multitudinous periodic movements, and the movement characteristics of the rotor system are unstable, etc.
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2005年第13期1197-1200,共4页
China Mechanical Engineering
基金
国家自然科学基金资助项目(50275024)
关键词
转子
松动
滚动轴承
质量慢变
混沌
rotor
pedestal
roll-bearing
slowly varying mass
chaos