摘要
建立了考虑内外转子碰摩影响的双转子系统动力学模型,推导出系统振动响应的动力学方程。利用分岔图,庞加莱截面图以及频谱图分析了双转子系统随转速变化时的振动响应和力学特性,以及系统发生碰摩时的各种非线性现象,并讨论了粘性阻尼系数、碰摩刚度系数和支撑弹簧刚度等系统参数对系统运动的影响。结果表明:随着转速的变化,系统会发生碰摩运动,导致拟周期和倍周期等复杂动力学行为出现;随着粘性阻尼系数的减小,系统行为变得复杂;碰摩刚度系数增加时,系统在碰摩时易发散失稳;在一定范围内,支撑弹簧刚度越大,系统的运动状态越稳定。
Abstract
Establish a dynamics model of the dual-rotor system with rubbing between its internal and external rotor, deduce the dynamical equation for the vibration responses of the system. The vibration response and mechanical properties of dual-rotor system are studied with the increase of the rotating speed by means of the bifurcate maps, the Poincare map and Spectrum charts, and nonlinear phenomenon of system when the rotors rub with each other. analyze the influences of the viscous damping coefficient, the rubbing rigidity coefficient and the support spring rigidity coefficient to the motion state of the system. The results indicate that the motion state including the periodic, quasi-periodic and multi-periodic will be shown in the dual-rotor system with the increase of the rotating speed. The motion state of the system will be more complex with the decrease of the viscous damping coefficient. Along with the increase of the rubbing rigidity coefficient, the system will be easy to lose the stability in rubbing. In a certain range, the motion state of the system will be more stability with the increase of the support spring rigidity coefficient.
关键词
双转子 /
分岔图 /
碰摩刚度 /
支撑弹簧刚度 /
粘性阻尼系数
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Key words
dual-rotor /
bifurcate map /
rubbing rigidity /
support spring rigidity /
viscous damping
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陈松霆 吴志强.
反向旋转双转子碰摩振动分析[J]. 振动与冲击, 2012, 31(23): 142-147
CHEN Song-ting WU Zhi-qiang.
Vibration analysis of counter-rotating dual-rotor system with rotor-rotor rubbing[J]. Journal of Vibration and Shock, 2012, 31(23): 142-147
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脚注
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