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中文摘要：
提出考虑机匣弹性、轴承非线性回转动力激励、机匣与定子间弹性联接和陀螺效应的非对称悬臂双盘转子系统（简称为弹性转子系统）力学模型，利用数值积分方法分析系统在不平衡、轴承回转非线性动力激励和碰摩耦合故障下系统的分叉与混沌行为及幅频特性，分析结果表明：转子偏心矩、阻尼和转子中心与机匣中心之间的间隙对系统碰摩响应的演化规律均有较大的影响，一般情况下系统通向混沌的道路主要是周期3倍分叉，机匣弹性主要影响高阶临界转速，而轴承回转非线性动力激励主要影响低阶临界转速。
英文摘要：
A dynamic model of asymmetric dual-disc overhanging rotor system （elastic rotor system）, which takes into account the casing elasticity, nonlinear rotary dynamic excitation of bearing, the elastic connection between casing and stator, and gyroscopic effect, is put forward. Behaviors of bifurcation and chaos and amplitude-frequency characteristic are analyzed by numerical integration method for the systems excited by nonlinear rotary dynamic excitation of bearing. It is shown that the influence of the eccentric moment, damping and clearance between rotor center and casing center on system bifurcation and chaos are remarkable. Generally, the main routes that the system enters chaos are periodic threefold bifurcation. By analyzing the effect of casing elasticity and nonlinear rotary dynamic excitation of bearing on system response, the results show that the casing elasticity has great influence on high-order critical speed and resonance amplitude, while has little influence on low-order critical speed and resonance amplitude, which is mainly affected by the nonlinear rotary dynamic excitation of bearing. The results may provide theoretical references for rotating machinery design, security running and fault diagnosis of such rotor bearing system.
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Synchronization of two non-identical coupled exciters in a non-resonant vibrating system of linear m
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