重庆大学学报2016,Vol.39Issue(2):1-9,9.DOI:10.11835/j.issn.1000-582X.2016.02.001
传递功率对行星齿轮传动系分岔特性的影响规律
Bifurcation characteristics of a nonlinear planetary gear train changing with power
摘要
Abstract
As the motion state of a planetary gear reducer is easy to bifurcate when the transmitted power changes,a study on the bifurcation characteristics of a planetary gear train changing with the transmitted power is explored in this paper.The local bifurcation characteristics were studied with CPNF(continuous Poincaré-Newton-Floquet) method on the basis of the nonlinear torsional vibration model of 2K-H planetary gear train.As a comparison,the global bifurcation diagram changing with power was calculated by using the method of numerical integration.The comparison results reveal that a nonlinear planetary gear train with certain parameters may have several coexisting periodic trajectories,some of them may be stable and some may be unstable.As the power gradually increases in the range of 196~220 kW,the stable asymptotic stable periodic traj ectory may change into chaos in the way of inverse period doubling bifurcation.And chaos is easy to appear when the planetary gear train is under light load condition.关键词
行星轮系/CPNF方法/周期轨道/功率/分岔Key words
planetary gears/CPNF method/periodic solutions/power/bifurcation分类
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李同杰,靳广虎,鲍和云,朱如鹏..传递功率对行星齿轮传动系分岔特性的影响规律[J].重庆大学学报,2016,39(2):1-9,9.基金项目
国家自然科学基金资助项目(51475226,51305196);安徽省教育厅自然科学重点项目(KJ2015A179)。Supported by National Natural Science Foundation of China(51475226,51305196)and Key Project of Anhui Department of Education Anhui Province(KJ2015A179). ()