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.
WU X H, PARKER R G. Modal properties of planetary gears with an elastic continuum ring gear[J]. Journal of Applied Mechanics, 2008, 75(3):1014-1026.
KAHRAMAN A. Free torsional vibration characteristics of compound planetary gear sets[J]. Mechanism and Machine Theory, 2001, 36(8):953-971.
WU X H, PARKER R G. Vibration of rings on a general elastic foundation[J]. Journal of Sound and Vibration, 2006, 295(1/2):194-213.
KIRACOFE D R, PARKER R G. Structured Vibration Modes of General Compound Planetary Gear Systems[J]. Journal of Vibration and Acoustics, 2007, 129(1):511-526.
GUO Y C, PARKER R G. Purely rotational model and vibration modes of compound planetary gears[J]. Mechanism and Machine Theory, 2010, 45(3):365-377.
GUO Y, PARKER R G. Sensitivity of general compound planetary gear natural frequencies and vibration modes to model parameters[J]. Journal of Vibration and Acoustics, 2010, 132(1):1006-1019.
LIN J, PARKER R G. Sensitivity of planetary gear natural frequencies and vibration modes to model parameters[J]. Journal of Sound and Vibration, 1999, 228(1):109-128.
LIN J, PARKER R G. Structured vibration characteristics of planetary gears with unequally spaced planets[J]. Journal of Sound and Vibration, 2000, 233(5):921-928.
LIN J, PARKER R G. Natural frequency veering in planetary gears[J]. Mechanics of Structures and Machines, 2001, 29(4):411-429.
KAHRAMAN A. Natural modes of planetary gear trains[J]. Journal of Sound and Vibration, 1994, 173(1):125-130.
KAHRAMAN A. Planetary gear train dynamics[J]. Journal of Mechanical Design, 1994, 116(3):713-720.
AL-SHYYAB A, KAHRAMAN A. Non-linear dynamic analysis of a multi-mesh gear train using multi-term harmonic balance method: period-one motions[J]. Journal of Sound and Vibration, 2005, 284(1):151-172.
KUBUR M, KAHRAMAN A. Dynamic Analysis of a MultiShaft Helical Gear Transmission by Finite Elements: Model and Experiment[J]. Journal of Vibration and Acoustics, 2004, 126(3):398-406.