封闭差动人字齿轮传动系统均载及动力学特性分析研究

发布时间：2018-10-10 17:16

【摘要】：载荷均衡分配对于提高行星齿轮传动系统寿命、增大可靠性和减小振动尤为重要，强非线性的行星齿轮传动系统需要应用非线性动力学理论研究其振动特性，鉴于此，行星齿轮传动系统均载及非线性动力学特性已成当前研究的热点和难点问题。本文以封闭差动人字齿轮传动（大型舰船主减速器）为研究对象，通过研究其均载及非线性动态特性，为该传动系统的设计提供理论和技术支持。在传动系统的啮合与切向刚度研究中，确定了传动系统两级啮合齿轮的各种相位关系，，引入基于齿轮副瞬时总接触线长度推导出的斜齿轮时变啮合刚度公式按刚度并联方式计算人字齿时变啮合刚度，分析了人字齿轮啮合刚度波动小的原因。应用材料力学原理计算由单位载荷引起的轮齿位移即柔度，进而确定中间浮动构件人字齿轮接触切向刚度。在传动系统的齿轮误差等效位移研究中，采用简谐函数推导了偏心误差、齿频误差转化到齿轮副啮合线上的等效位移公式；提出了一种齿轮传动几何误差转化为啮合线上的等效位移计算方法，按此方法推导出了传动系统两级各齿轮安装误差转化到啮合线等效位移的计算公式，进而建立了传动系统两级各齿轮误差转化到啮合线上等效位移的完整公式体系。在传动系统的静力学均载特性研究中，建立了包含中间浮动构件的封闭差动人字齿轮传动系统静力学计算模型；确定了传动系统静力学均载系数计算公式，计算了传动系统的静力学均载系数；分析了传动系统主要参数对传动系统静力学载荷分配的影响，获得主要参数对传动系统静力学均载特性的影响规律。在传动系统的动力学均载特性研究中，考虑了齿轮重量、时变啮合刚度、各种误差的影响，建立了包含中间浮动构件的封闭差动人字齿轮传动系统动力学计算模型；把动力学方程线性化，采用傅立叶级数法求解；确定了传动系统动力学均载系数计算公式，计算了传动系统的动力学均载系数；分析了传动系统主要参数对传动系统动力学载荷分配的影响，获得封闭差动人字齿轮传动系统动力学均载特性的变化规律。在传动系统的动力学浮动特性研究中，建立了封闭差动人字齿轮传动系统动态浮动量的计算方法，计算了传动系统两级各齿轮动力学浮动量，分析了传动系统的各种参数对传动系统动力学浮动量的影响。获得封闭差动人字齿轮传动系统动力学浮动特性的变化规律。在传动系统的非线性动力学特性研究中，建立了多齿侧间隙、时变啮合刚度的封闭差动人字齿轮传动系统的多自由度扭转非线性动力学方程；应用Newmark数值法求解非线性动力学微分方程组，得到了传动系统的非线性动态响应结果；综合运用位移响应时间历程图、啮合力响应时间历程图、相图、庞加莱截面，分析了齿侧间隙、时变啮合刚度、阻尼、综合误差对封闭差动人字齿轮传动系统非线性动态特性的影响；获得了齿侧间隙、时变啮合刚度、阻尼、综合误差对啮合轮齿的受力、运动状态的影响规律。
[Abstract]:Load balance assignment is particularly important for improving the life of planetary gear transmission system, increasing the reliability and reducing vibration. The strong non-linear planetary gear transmission system needs to apply nonlinear dynamics theory to study its vibration characteristics. In view of this, Both the load and nonlinear dynamics of the planetary gear transmission system have become the hot and difficult problems of the current research. This paper presents theoretical and technical support for the design of the transmission system by studying its both load and non-linear dynamic characteristics. In the study of the meshing and tangential stiffness of the transmission system, the phase relation of the two-stage meshing gears of the transmission system is determined, the time-varying meshing stiffness formula of the helical gear derived from the length of the instantaneous total contact line of the gear pair is introduced, and the time-varying engagement of the herringbone teeth is calculated according to the rigidity parallel mode. The stiffness of the meshing stiffness of herringbone gears is analyzed. Based on the principle of material mechanics, the displacement of gear teeth caused by unit load is calculated, and then the contact tangential direction of the middle floating member's herringbone gear is determined. In the study of the equivalent displacement of the gear error of the transmission system, the equivalent displacement formula of the eccentric error and the tooth frequency error into the gear sub-engagement line is derived by using the spline function, and a gear transmission geometric error is proposed to be converted into the equivalent position on the meshing line. The calculation formula of the equivalent displacement of each gear in the transmission system is derived according to the method, and then the equivalent displacement of each gear error of the transmission system to the meshing line is established. In the static load characteristic study of the transmission system, the static calculation model of the closed differential moving word gear transmission system including the intermediate floating member is established, the calculation formula of the static load coefficient of the transmission system is determined, and the transmission system is calculated. The statics load coefficient of the transmission system is analyzed, the influence of main parameters of the transmission system on the static load distribution of the transmission system is analyzed, and the statics of the main parameters on the transmission system are obtained. The influence of gear weight, time-varying meshing stiffness and various kinds of errors is taken into account in the study of dynamic load characteristics of the transmission system, and the dynamic calculation model of the transmission system with closed and moving characters including the intermediate floating member is established. In this paper, the dynamics equations are linearized and the Fourier series method is used to solve the dynamic equations of the transmission system. The dynamic load coefficient of the transmission system is calculated. The main parameters of the transmission system are analyzed. The influence of the distribution of the dynamic load of the system is affected by the dynamic load distribution of the system, and the transmission system of the closed and moving word gear is obtained. In the study of dynamics floating characteristic of transmission system, a calculation method of dynamic floating quantity of the transmission system of closed and moving word gear transmission system is established, and the floating quantity of each gear in the two-stage transmission system is calculated, and various parameters of the transmission system are analyzed. The influence of the dynamic floating quantity of the transmission system on the dynamic floating quantity of the transmission system is obtained. In this paper, a multi-degree-of-freedom torsional nonlinear dynamic equation of a closed-difference moving-word gear transmission system with multi-tooth-side clearance and time-varying meshing stiffness is established in the study of the nonlinear dynamics of the transmission system. k numerical method is used to solve the nonlinear dynamic differential equation group, and the nonlinear dynamic response result of the transmission system is obtained; a displacement response time history diagram, an engagement force response time history diagram, a phase diagram and a Ponincare section are comprehensively applied; The influence of tooth-side clearance, time-varying meshing stiffness, damping and comprehensive error on nonlinear dynamic characteristics of closed-difference moving-word gear transmission system are analyzed.
【学位授予单位】：南京航空航天大学
【学位级别】：博士
【学位授予年份】：2013
【分类号】：TH132.41

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