两级星型齿轮传动系统非线性动力学研究  

Non-linear dynamic study of 2-stage star gear train

作　　者：朱自冰[1] 朱如鹏[1] 鲍和云[1] 

机构地区：[1]南京航空航天大学机电学院,南京210016

出　　处：《航空动力学报》2007年第11期1963-1970,共8页Journal of Aerospace Power

基　　金：国家自然科学基金项目(50775108);航空科学基金项目(03C52021);江苏省自然科学基金项目(BK2004125)

摘　　要：建立了两级星型齿轮传动系统的非线性动力学分析模型,模型中考虑了系统的综合啮合误差、时变啮合刚度以及齿侧间隙.采用数值积分方法对多间隙多自由度非线性微分方程组进行了求解.分析了两级星型齿轮传动系统由简谐振动、非谐单周期振动、倍周期振动以及拟周期振动通向混沌的非线性动力学特性.A dynamic analysis model was established for 2-stage star gear train, wherein the transmission error and the time-varying stiffness and backlash were considered. Using ODE45 integration method, the nonlinear differential equations with multiple backlashes were solved. The nonlinear dynamic behavior, which leads to chaos from harmonic vibration, non-harmonic vibration, period-doubling vibration and quasi-periodic vibration by changing frequency excitation of the system, was discussed thereof.

关 键 词：航空 航天推进系统 星型齿轮传动 非线性振动 混沌 动态特性 

分 类 号：V232.8[航空宇航科学与技术—航空宇航推进理论与工程]