基于分形理论的圆弧齿轮法向接触刚度模型  

Contact Stiffness Mechanics Model of the Involute Arc Cylindrical Gear Based on Fractal Theory

作　　者：陈建[1] 侯力[1] 魏永峭[1] 马登秋 CHEN Jian HOU Li WEI Yong-qiao MA Deng-qiu(School of Manufacturing Science and Engineering, Sichuan University, Chengdu 610065, China)

机构地区：[1]四川大学制造科学与工程学院,成都610065

出　　处：《组合机床与自动化加工技术》2016年第10期8-11,16,共5页Modular Machine Tool & Automatic Manufacturing Technique

基　　金：国家自然科学基金:新型圆弧曲线圆柱齿轮传动应用基础研究(51375320)

摘　　要：刚度是影响圆弧齿线圆柱齿轮接触动力学的重要参数之一。文章基于分形理论,提出表面修正系数修正了微凸体分布函数,建立了圆弧齿线圆柱齿轮法向接触刚度的分形模型。通过MATLAB进行数值模拟分析,论证了表面修正系数构造的合理性,揭示了结合面各个参数对法向接触刚度的影响。结果表明,圆弧齿线圆柱齿轮法向接触刚度随着载荷、材料特性参数、表面接触系数的增大而增大;随着分形维数的增大先增大后减小;随着特征尺度系数的增大而减小。该模型的建立为研究圆弧齿线圆柱齿轮法向接触刚度提供了理论依据。Normal contact stiffness is one of the most important parameters affecting the contact dynamics performances of involute arc cylindrical gear. Based on the fractal theory,the surface modification coefficient was put forward to correct the micro-convex body distribution function and establish the fractal model of the involute arc cylindrical gear＇s normal contact stiffness. Numerical simulations demonstrated the reasonability of surface modification coefficient and revealed the influence of the joint surface parameters on the normal contact stiffness by MATLAB. The results showed that the involute arc cylindrical gear＇s normal contact stiffness increased with the increase of the load,the material properties parameters and surface contact coefficient; the normal contact stiffness increased at first and then decreases with the increase of fractal dimension and decreased with the increase of characteristic length scale. The establishment of the model provides a theoretical basis to study the involute arc cylindrical gear＇s normal contact stiffness.

关 键 词：分形理论 法向刚度 圆弧齿轮 接触模型 

分 类 号：TH506[机械工程] TG659[金属学及工艺—金属切削加工及机床]