基于改进石川法的直齿轮时变啮合刚度计算分析  

Calculation and analysis of time-varying meshing stiffness for spur gears based on the improved Ishikawa method

作　　者：黄开胜 伍辉 HUANG Kaisheng;WU hui(School of Mechatronics and Vehicle Engineering,Chongqing Jiao tong University,Chongqing 400074,China)

机构地区：[1]重庆交通大学机电与车辆工程学院,重庆400074

出　　处：《技术与市场》2023年第8期80-83,共4页Technology and Market

摘　　要：齿轮时变啮合刚度作为齿轮传动系统动态性能的关键参数,对动力学模型构建和故障诊断具有至关重要的作用。然而,传统石川公式法在计算时变啮合刚度时存在一定的偏差。为提高计算精度和效率,采用改进石川法对直齿轮时变啮合刚度进行计算分析。通过将轮体部分简化为曲边梯形,引入齿轮轮体部分变形量,利用MATLAB编程实现时变啮合刚度的计算,并将其与传统石川公式和有限元法进行对比。研究结果表明:在不同输入扭矩条件下,改进石川法相较于传统石川公式能更接近有限元法的计算结果,且在扭矩增大时,能保证较高的计算精度。同时,改进石川法在计算耗时上相较于有限元法具有明显优势。The time-varying meshing stiffness of gears serves as a critical parameter affecting the dynamic performance of gear transmission systems,playing a vital role in the construction of dynamic models and fault diagnosis.However,the tradi-tional Ishikawa formula method exhibits certain deviations when calculating the time-varying meshing stiffness.To enhance calculation accuracy and efficiency,this study adopts an improved Ishikawa method for the analysis of time-varying meshing stiffness in spur gears.By simplifying the gear body part as a curvilinear trapezoid and introducing the deformation quantity of the gear body part,the time-varying meshing stiffness is calculated using MATLAB programming and compared with the traditional Ishikawa formula and the finite element method(FEM).The research results indicate that,under various input torque conditions,the improved Ishikawa method delivers calculation results closer to the FEM compared to the traditional Ishikawa formula,and maintains higher calculation accuracy as torque increases.Furthermore,the improved Ishikawa method demonstrates a significant advantage in terms of computation time compared to the FEM.

关 键 词：直齿轮副 改进石川法 啮合刚度 

分 类 号：TH132.41[机械工程—机械制造及自动化]