摘要
考虑轴初弯曲和轴质量对圆盘参振质量的影响时,分析转子系统局部碰摩的分叉与混沌动力学行为,找到了转子系统通往混沌的道路。建立了系统力学数学模型,进行计算机数值模拟,以转速和阻尼为分叉参数,结合Poincare截面图、波形图、相平面图、轴心轨迹图、功率谱图和自相关函数图,分析了系统的运动状态。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。随着阻尼和定子弹性的增大,混周交替出现时转速范围明显减小;以阻尼为分叉参数时,随着偏心距的增大,混周交替出现时阻尼范围明显增大。结果表明,通向混沌的道路主要是倍周期分叉和阵发性分叉。
While considering the influence of shaft initial bending and shaft mass on the mass of disc participating in vibration, the furcation and chaos dynamics behavior of partial collision rubbing in rotor system was analyzed and the path lead to chaos of rotor system was found. The mechanical mathematics model of system was built, and the computer numerical value simulation was carried out. Taking the rotation speed and damping as the furcation parameters and combining with Poincare sectional view, oscillogram, phase plane plot, locus of axle center, power spectrum graph and self correlative functional diagram, the kinetic status of system was analyzed. While the rotation speed was taken as the furcation parameter, the response of rotor system would go through the processes for several times 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. While the damping was taken as the furcation parameter, when the chaos and periodical solution appeared alternatively, the region of damping increased evidently along with the augmentation of eccentricity. The result showed that the ways lead to chaos was mainly double periodic furcation and gustiness furcation.
出处
《机械设计》
CSCD
北大核心
2008年第2期37-41,共5页
Journal of Machine Design
基金
国家高技术研究发展计划资助项目(2006AA04Z408)
关键词
悬臂双盘-轴承转子系统
初弯曲
碰摩
分叉
混沌
cantilever dual disc-bearing rotor system
initial bending
collision rubbing
furcation
chaos
