基于数学解析法拖拉机齿轮传动机构设计分析

Design and Analysis of Tractor Gear Transmission Mechanism Based on Mathematical Analytical Method

以拖拉机齿轮箱为研究对象,针对行星齿轮传动系统设计过程中出现的不足,以行星齿轮传动系统最小总体积为设计目标,确定设计目标函数约束条件和设计过程约束条件,建立设计过程的数学模型并将其最优化。在MatLab中将建立的最优化的数学模型求解,得到设计参数最优值,使行星齿轮传动系统机构的体积达到最小值,进一步提高设计过程质量。同时,采用动力学对行星齿轮传动系统进行建模,考虑振动传递路径时变效应及振动信号对传动系统动力学的影响,推导了单个行星齿轮在发生故障时的啮合刚度表达式,进一步得出多个行星齿轮发生故障时的啮合刚度变化表达式,得到行星齿轮传动系统在不同故障程度下的啮合刚度。研究可为拖拉机行星齿轮传动系统机构的故障监测提供参考依据。

Aiming at the shortcomings in the design of planetary gear transmission system,this paper takes the minimum total volume of planetary gear transmission system as the design objective,determines the constraints of design objective function and design process,establishes the mathematical model of design process and optimizes it.In MATLAB,the optimal mathematical model will be solved to obtain the optimal design parameters,which will minimize the volume of planetary gear transmission mechanism and further improve the quality of the design process.At the same time,the model of planetary gear transmission system is established in the field of dynamics.Considering the time-varying effect of vibration transmission path and the influence of vibration signal on the dynamics of transmission system,the expression of meshing stiffness of single planetary gear in case of failure is deduced.Further,the expression of meshing stiffness change of multiple planetary gears in case of failure is obtained,and the planetary gear transmission system is obtained.Meshing stiffness under different fault degrees.It provides a reference for fault monitoring of planetary gear transmission mechanism of tractor.