【作者】 鲍和云；

【导师】 朱如鹏；

【作者基本信息】 南京航空航天大学 ， 机械设计及理论， 2006， 博士

【摘要】 本文对两级星型齿轮传动系统的分流特性及动力学特性进行了研究,包括两级星型齿轮传动系统的均载特性分析与均载设计、非线性动力学建模、非线性微分方程的求解方法及非线性动态特性分析等内容。研究了两级星型齿轮传动系统的分流特性并进行了试验验证。建立了系统的静力学及动力学均载分析模型;计算了系统的静态及动态均载系数;分析了误差、系统刚度、星轮个数等参数对系统分流特性的影响;进行了两级星型齿轮传动系统均载系数的测试,将理论计算结果与试验测试结果进行了比较。提出了基于载荷分流均衡性能要求的星型齿轮传动系统设计方法,即对于给定的均载系数,设计相关的结构几何尺寸的误差。分别从静态和动态两方面研究星型齿轮传动系统的结构尺寸误差的设计方法,以满足给定的均载系数。提出了基于静力学和动力学的基本浮动构件浮动量的计算方法,计算了系统基本浮动构件的浮动量;分析了系统主要参数对各浮动构件浮动量的影响及浮动量对系统均载系数的影响。建立了两级星型齿轮传动系统非线性动力学模型,模型中考虑了时变啮合刚度、多对齿轮副间隙、误差激励。通过选取合适的坐标变换,推导出了两级星型齿轮传动系统非线性统一微分方程;给出了统一微分方程的无量纲分析模型。发展了增量谐波平衡法求解系统动力学微分方程组。推导了增量谐波平衡法的计算公式,给出了系统的线性及非线性部分的刚度矩阵;采用增量谐波平衡法求解了两级星型齿轮传动系统的稳态响应,给出了系统的频响特性,并分析了刚度、误差等参数对系统动态特性的影响。分析了两级星型齿轮传动系统的非线性动态特性。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;分析了在不同参数的作用下,系统的多种通向混沌的道路,研究了间隙对两级星型齿轮传动系统的动态特性的影响。更多还原

【Abstract】 The paper mainly studies the load-split characteristics and nonlinear dynamics of two-stage star gear trains. Some progress and developments have been made on key issues such as load sharing analysis and design, nonlinear dynamics modeling, solution techniques to the nonlinear differential equations and dynamic behaviors analysis of the systems.The load split characteristics of two-stage star gear trains are studied and an experimental verification on dynamic load sharing is developed.The static and dynamic analysis models are presented, respectively. The load sharing coefficients of the gear train are formulated. The influences of errors, stiffness and number of star gears on the load split characteristics are analyzed. The load sharing coefficients of a two-stage star gear train are measured. The results of theory and experiment are compared.The design method of load sharing of star gear trains based on load split is proposed. Errors of basic parts are calculated based on the given load sharing coefficients by the optimization arithmetic. The static and dynamic errors of the system are designed to meet the given load sharing coefficients.The method of calculating floating displacement of the system is developed. Floating displacements of basic parts are calculated. The influences of the main designed parameters on floating displacement and the floating displacement on the load sharing coefficient are analyzed.A nonlinear dynamic analysis model including the transmission error, time-varying stiffness and backlash is constructed. A new set of coordinate is adopted in order to eliminate the rigid body movement and be convenient to solve the equation.Incremental harmonic balance method (IHBM) formulations are derived for multiple degrees of freedom nonlinear dynamic equations of two-stage star gear train with backlash. The nonlinear frequency response characteristics of the system are obtained by using IHBM. The influence of time-varying stiffness and errors on the system dynamic characteristic is analyzed. The nonlinear dynamic behavior of the system is discussed. Employing variable step size RK integration method, the nonlinear differential equations with multiple backlash are solved. The routes to chaos under the condition of changing the parameters of the system are discovered. The influence of backlash on the dynamic characteristics is investigated.更多还原