传递功率对行星齿轮传动系分岔特性的影响规律

发布时间：2019-04-10 15:11

【摘要】：针对行星齿轮减速器工作过程中传递功率的频繁变化容易导致其运动状态发生突变的问题,探讨行星齿轮传动系统随传递功率的分岔特性。基于2K-H型行星齿轮传动系统纯扭转非线性动力学模型,采用CPNF(continuous Poincaré-Newton-Floquet)方法研究了传递功率对行星齿轮传动系统周期运动稳定性的局部精细分岔规律,运用直接数值积分的方法绘制了系统随功率的全局分岔图,并对两种仿真结果进行了对比。结果发现,在某些参数组合下,行星齿轮传动系统会共存几个稳定或不稳定的周期轨道;当功率在196~220kW范围内,随着功率值的逐渐增大,行星齿轮传动系统的各种形态的周期轨道均是通过倍周期倒分岔的途径在相应功率分岔点处发生稳定性突变的;在轻载工况下(传递小功率),行星齿轮非线性系统容易呈现混沌运动状态。
[Abstract]:In order to solve the problem that the frequent change of transmission power in the working process of planetary gear reducer can easily lead to the sudden change of its motion state, the bifurcation characteristics of planetary gear transmission system with the transfer power are discussed. Based on the nonlinear dynamics model of pure torsion of 2K-H planetary gear transmission system, the local fine bifurcation law of transmission power to periodic motion stability of planetary gear transmission system is studied by using CPNF (continuous Poincare-Newton-Floquet method. The global bifurcation diagram of the system with power is drawn by the method of direct numerical integration, and the two simulation results are compared. It is found that the planetary gear transmission system will coexist with several stable or unstable periodic orbits under the combination of some parameters. When the power is in the range of 196~220kW, with the increasing of the power value, the periodic orbits of the planetary gear transmission system all occur the abrupt change of the stability at the corresponding power bifurcation point through the way of period-doubling inverse bifurcation. Under the condition of light load (transmitting small power), the nonlinear system of planetary gear is easy to show chaotic motion.
【作者单位】：南京航空航天大学机电学院;安徽科技学院机械工程学院;
【基金】：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)~~
【分类号】：TH132.41

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