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建立了叶片-转子-轴承系统模型,并分析了考虑非线性油膜力作用下系统的弯扭耦合运动。为了考虑叶片弯曲变形的影响,将叶片模化为悬臂梁结构,利用假设模态法进行离散求解,通过Lagrange方法建立系统的运动方程,运用Runge-Kutta法对所得动力学方程进行数值求解,最终通过对分岔图、三维谱图、相图和Poincaré映射的分析,得到了叶片-转子-轴承系统中蕴含的各种复杂非线性动力学行为。通过与不考虑叶片的转子-轴承系统进行比较,指出叶片的弯曲振动使系统的不稳定区域提前,并在某些转速下激起系统的混沌运动。
The model of the blade-rotor-bearing system is established, and the bending-torsional coupling movement of the system is analyzed considering the nonlinear oil film force. In order to consider the effect of blade bending deformation, the blade was modeled as a cantilever beam structure. The model was solved by using the modal method. The Lagrange method was used to establish the equations of motion. The Runge-Kutta method was used to solve the dynamic equations. Finally, By analyzing bifurcation diagrams, three-dimensional spectra, phase diagrams and Poincaré maps, various complex nonlinear dynamic behaviors in the blade-rotor-bearing system are obtained. By comparing with the rotor-bearing system which does not consider the blade, it is pointed out that the bending vibration of the blade advances the instability area of the system and causes the chaotic motion of the system at certain rotational speeds.