Abstract
Taking a herringbone star gear transmission (HSGT) with floating sun gear as an example, the system bifurcation characteristics with the changing of the eccentric error of star gear and the working frequencies are analyzed. For this analysis, a generalized dynamic model of HSGT considering the manufacturing eccentric errors, time-varying mesh stiffness, and load balancing mechanism is established and solved by numerical method. The floating process of sun gear is explained. In this paper, there are seven cases about the eccentric errors of star gears which are calculated, respectively. To study the effect of the working frequencies (including meshing frequency and rotation frequency), the calculation is done at three kinds of input speed in which the working frequencies are close to the system natural frequencies. The results are demonstrated in detail by the bifurcation diagrams, phase plane plots, and Poincare maps. The system bifurcation characteristics are particularly analyzed and compared in every case. This work provides important guidance to the engineering of HSGT.
Highlights
Star gear transmission (SGT) is a power split transmission with fixed axis gears
Unlike planetary gear train (PGT), the carrier of SGT is not rotating, and star gears only rotate on their axes
This difference results in no centrifugal force influencing on star gears when the SGT rotating in high speed and star gears can be lubricated continually, which benefits the smooth running of SGT [1]
Summary
Star gear transmission (SGT) is a power split transmission with fixed axis gears. This transmission uses star gears to load together, which form power branches. To resolve this problem, the load balance mechanism is widely adopted in SGT from home and abroad [2,3,4]. Bao and Zhu [25] develop a dynamic analysis model for a two-stage star gear train considering manufacturing and assembly errors to analyze the characteristics of sharing load and some relations between errors and the load sharing coefficient. In this paper, using the lumped-parameter method and taking into account the manufacturing eccentric errors, timevarying mesh stiffness, and load balancing mechanism, a generalized dynamic model of HSGT with floating sun gear is presented to study the forced vibration characteristics. The effect of the variation of working frequencies is investigated by choosing three kinds of working speed in which the working frequencies are close to the system natural frequencies
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