人字齿轮功率二分支传动系统模态跃迁现象

模态跃迁会导致人字齿轮功率二分支传动系统的动力学特性剧烈变化,因此,在该类系统的动态设计过程中,必须对模态跃迁现象进行分析。建立了人字齿轮功率二分支传动系统扭转振动模型和扭转自由振动微分方程,通过分析计算系统扭转振动固有频率和模态振型,将人字齿轮功率二分支传动系统扭转振动模式归纳为耦合振动模式和分支齿轮振动模式两类模态振型。在此基础上,研究了人字齿轮功率二分支传动系统扭转振动的模态跃迁现象,确定了系统扭转振动固有频率轨迹发生模态跃迁现象的准则:对于耦合振动模式和分支齿轮振动模式,不同类型模态振型之间不会发生模态跃迁,同类型的模态振型之间将会发生模态跃迁。最后,通过实例计算验证了所提出模态跃迁准则的准确性。

Mode Transition Phenomenon of Herringbone Gear Power-split Transmission System

The mode transition will bring about the dramatical changes of the dynamics characteristics of the herringbone gear power-split transmission system, so the mode transition phenomenon must be analyzed in the process of the transmission system dynamic design. The torsional vibration model and the free torsional vibration differential equations of the herringbone gear power-split transmission system are established, and the torsional vibration models are classified to two kinds of the coupled vibration mode and the branch gear vibration model by calculating the torsional vibration natural frequency and vibration mode. On this basis, the mode transition phenomenon of the transmission system is studied, and the criterion of mode transition phenomenon is determined, the mode transition phenomenon is not going to happen between two different types of modal vibration mode, and will happen between the same types. Finally, the accuracy of the proposed mode transition criterion is verified by an example.