nonlinear dynamics of compound planetary gear sets based on incremental harmonic balance method
Wu Shi-jing1； Liu Zhen-hao1； Wang Xiao-sun1；qian bo2
Wuhan University, Wuhan 430072, China； 2 science and technology on vehicle transmission labortory ， china north vehical research institute ， beijing 100072， china
Abstract：A purely rotational model of Ravigneaux compound planetary gear sets including time-varying mesh stiffness, synthetical mesh errors and backlashes is developed. Incremental harmonic balance method is applied to obtain the steady state response of fundamental frequency. The influence of the system parameter on dynamic characteristics is analized by changing the value of time-varying mesh stiffness, backlashes, external excitations. It is showed from the research that multiple value and amplitude jump discontinuities are presented on the dynamic curves with the existence of backlashes. More abundant dynamic behaviors are existed in compound planetary gear sets by the coaction of the system parameters. Incremental harmonic balance method can be used in more complex systems to obtain the approximate solutions of arbitrary-precision, which lay the foundation of controlling vibration and noise of the system to achieve the dynamic design of compound planetary gear sets.
2012, Vol. 31 
