摘要
通过构造非稳态分岔图 ,研究了转子 -轴承系统在转速以一定角加速度升降时的非稳态运动。研究显示 ,稳态过程中产生倍周期分岔或概周期分岔的系统 ,相应地也将经历非稳态倍周期或概周期分岔 ,并且在运动形式转换时存在渗透和跳跃现象。研究揭示了渗透量与加速度的关系 ,并通过数值模拟 ,描述了运动转换的过程。
Nonstationary processes of a rotor-bearing system are dealt with in this paper. The rotating angular speed was taken as control parameter and it is increased or decreased linearly at different levels of acceleration. The nonstationary bifurcation diagrams were determined using the Nonstationary Bifurcation Map(NBM) technique. Study shows that the system can experience either nonstationary period doubling bifurcation or nonstationary quasi-periodic bifurcation, depending on the level of imbalance. The penetrations are found existing, and increasing with the absolute value of acceleration in all transitions of motion type. The penetrations result jumps during the forward period doubling transitions. But all the other transitions are smooth.
出处
《振动工程学报》
EI
CSCD
北大核心
2003年第2期189-193,共5页
Journal of Vibration Engineering
基金
国家自然科学基金 (编号 :19990 5 10
10 2 72 0 78)
教育部留学回国人员科研启动基金资助项目
