车辆传动系统非线性平移扭转耦合振动响应灵敏度研究

Response sensitivity of nonlinear translation-torsional vibration coupled model of a vehicle transmission system

随着对齿轮传动系统动态品质要求的提高,仅固有特性及其灵敏度的分析已经无法满足车辆传动系统动态特性分析的要求,对强迫振动下响应特性的灵敏度研究可为减振设计提供进一步的指导。研究非线性动力学响应对轴段扭转刚度、质量点惯量以及轮齿啮合误差的灵敏度。将某车辆传动系统样机作为研究对象,以发动机激励作为输入,建立平移扭转耦合集中参数动力学模型。模型中考虑时变啮合刚度、齿侧间隙、轮齿制造、安装误差以及质量偏心等非线性因素,通过直接求导法建立灵敏度方程,利用数值求解的方法获得动力学响应对设计参数的相对灵敏度并进一步将其转化成工程中有实际意义的物理量的灵敏度结果,为齿轮传动系统基于动态响应的参数修改、模型修正和参数优化等方面提供理论依据。

With increase in requirements of dynamic quality of a transmission system,only the eigensensitivities analysis can not meet the requirements of dynamic characteristics of a vehicle transmission system. It＇s needed to do response sensitivity study to find a guideline to reduce vibration of a vehicle transmission system in designing stage. Here,the sensitivities of dynamic response with respect to design parameters such as,shaft torsional stiffness,moment of inertia,and transmission errors of gear pairs,et al. were investigated. The translation-torsional coupled dynamic model of a vehicle transmission system taking engine excitation as an input source was built up with the lumped parameter method. The sensitivity equations were derived from dynamic equations containing nonlinear terms, such as, time-varying mesh stiffness,backlash of gear pairs,mass eccentricity,transmission error et al. The relative sensitivities of dynamic response with respect to design parameters then turned into relative sensitivities of force / torque with respect to design parameters were acquired with the numerical simulation method. The results of the relative response sensitivities provided a theoretical basis for parameter modification,model updating and parameter optimization of vehicle transmission systems based on their dynamic responses.