Study on the Coupled Bending-torsion Vibration Characteristics of Power Four-path Gear Transmission
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摘要: 在轴承-转子系统动力学理论的基础上,考虑齿轮啮合效应和转子弯扭耦合效应,建立了功率四分支齿轮传动系统振动方程,求解自由振动的特征方程,获得了该系统耦合状态下的前14阶固有频率和振型,以及非耦合状态下前8阶固有特性。得出如下结论:1)系统结构的对称性导致部分转子的模态对称;2)系统的模态类型主要表现为两类形态:一类以某一转子振动为主,其他转子的振幅很小;另一类表现为复杂的多转子弯扭耦合振动;3)转子间的弯扭耦合对系统的固有频率和模态产生了很大的影响,在进行功率四分支齿轮传动系统的振动特性研究时,必须同时考虑转子弯扭耦合效应的共同作用。Abstract: The study of the power branch gear transmission system vibration inherent characteristic is very important in the design process,for the gear-mesh frequencies should keep away from the natural frequencies. Based on the rotor-bearing system dynamics,coupling the bending-torsion vibration,the dynamic characteristics equations of power four-path gear transmission were deduced by means of the solving free vibration characteristic equation,and the first 14 orders natural frequencies and the modes of vibration in the system,and the first 8 orders inherent characteristic in the system uncoupling state. The analysis results show in the following: 1) the symmetry of the system structure results in part of the rotor vibration modes symmetry; 2) the modes of the system performance for two types: one type is mainly some or other rotor vibration,other rotors amplitudes are very small,another type is complex multi-rotor bending-torsion vibration; 3) the coupled bending-torsion between the rotors have a greater impact on the system natural frequencies and modes,the bending-torsion vibration must be considered in the study of the power branch gear transmission system vibration inherent characteristic.
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Key words:
- bearings (machine parts) /
- bending (deformation) /
- damping /
- dynamics /
- gears /
- mathematical models
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