TY - GEN
T1 - Dynamic response analysis for non-smooth gear rattling system
AU - Xu, Kai
AU - Deng, Xiaozhong
AU - Yang, Jianjun
AU - Geng, Liu
PY - 2010
Y1 - 2010
N2 - For non-smooth gear rattling system, a general dynamic model with backlash consisting of two wheels with a sinusoidal driving is considered in this paper. Selecting the tooth face as the Poincaré section, the Poincare map is constructed, and a calculation method of Lyapunov exponents presented by using the local map method to avoid calculating the Jacobian at the impact points. An example is given to validate the above calculation method. The results show that with increase in forcing amplitude, the motion state of the gear rattling system will change from single-sided tooth impact to double-sided tooth impact. The corresponding phase plane plots are shown. The spectrums of the largest Lyapunov exponents are calculated in a large range of parameters, and the results compared with the bifurcation diagrams obtained by means of local map method in the corresponding parameter range.
AB - For non-smooth gear rattling system, a general dynamic model with backlash consisting of two wheels with a sinusoidal driving is considered in this paper. Selecting the tooth face as the Poincaré section, the Poincare map is constructed, and a calculation method of Lyapunov exponents presented by using the local map method to avoid calculating the Jacobian at the impact points. An example is given to validate the above calculation method. The results show that with increase in forcing amplitude, the motion state of the gear rattling system will change from single-sided tooth impact to double-sided tooth impact. The corresponding phase plane plots are shown. The spectrums of the largest Lyapunov exponents are calculated in a large range of parameters, and the results compared with the bifurcation diagrams obtained by means of local map method in the corresponding parameter range.
UR - https://www.scopus.com/pages/publications/77953764810
U2 - 10.1115/DETC2009-86368
DO - 10.1115/DETC2009-86368
M3 - 会议稿件
AN - SCOPUS:77953764810
SN - 9780791849019
T3 - Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009
SP - 1633
EP - 1638
BT - Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009
T2 - 2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009
Y2 - 30 August 2009 through 2 September 2009
ER -