|
Abstract: Gear
transmission is bound to have some backlash (clearance), which may be
either designed to provide better lubrication or due to manufacturing
errors and wear, while nonlinear dynamics studies on planetary gear
system subjected to clearances are very limited. A lateral-torsional
coupled nonlinear dynamic model of a planetary gear system with multiple
backlash, time-varying mesh stiffness, error excitation and sun-gear
shaft compliance is constructed, To solve the resulted equations, a
numerical harmonic balance method is developed based on discrete Fourier
transform (DFT) and inverse discrete Fourier transform (IDFT). This
method is applicable for general periodic steady responses of
time-varying periodic systems with multiple harmonic, even superharmonic
and subharmonic solutions included. As an example, nonlinear frequency
response characteristics of a 2K—H planetary gear system is obtained by
employing the developed method. Some typical nonlinear phenomena such as
jump discontinuities and multi-valued solutions are observed. The study
yields some guidelines to be instrumental to further nonlinear studies
of planetary transmission.
Key words:Planetary gear
drive Non-linear vibration Gear dynamics Method of harmonic
balancing Discrete Fourier transform
CLC No: TH113
Received 20011211, received in
revised form 20020720 |