基于分形理论的齿轮结合面法向接触刚度研究  

Study on Normal Contact Stiffness of Gear Joint Surface Based on Fractal Theory

作　　者：赵林林[1,2] 黄小平[1] 周忠旺[2] ZHAO Linlin;HUANG Xiaoping;ZHOU Zhongwang(College of Mechanical and Electronic Engineering,Nanjing Forestry University,Nanjing 210037,China;College of Finance & Economics,Jiangsu Vocational and Technical,Huai’an 223003,China)

机构地区：[1]南京林业大学机械电子工程学院,南京210037 [2]江苏财经职业技术学院机械电子与信息工程学院,江苏淮安223003

出　　处：《重庆理工大学学报（自然科学）》2019年第8期78-83,共6页Journal of Chongqing University of Technology：Natural Science

基　　金：淮安市科技支撑计划“基于ANSYS的大型船用绞车的研发”(HAG2013024);南京林业大学科技创新基金资助项目“纯滚齿轮的理论与传动性能研究”(163040002)

摘　　要：引入微凸体的截面接触面积,并考虑域扩展因子,提出了一种新的齿轮结合面法向接触刚度模型。通过Matlab模拟仿真得出:分形维数D较小时,法向载荷与法向刚度近似呈线性关系,而D较大时,法向载荷与法向刚度呈线性关系。分形维数存在一个临界值,当D>1.7时,法向刚度随D的增加而减小,当D<1.7时,法向刚度随D的增加而增加,同时增加法向载荷有利于提高法向接触刚度。法向刚度随表面特征长度尺度系数G^*的增加而减小;随材料特性参数Ф的增大而增大;增加齿轮的模数或齿数,可提高齿轮结合面的法向刚度。A new normal contact stiffness model of gear joint surface is presented by introducing the cross-section contact area of the micro-convex body and considering the domain extension factor.Through Matlab simulation,it is concluded that when the fractal dimension D is smaller,the normal load is approximately linear with the normal stiffness;when the D is larger,there is a linear relationship between normal load and normal stiffness;when D>1.7,the normal stiffness decreases with the increase of D;when D<1.7,the normal stiffness increases with the increase of D,and it is beneficial to improve the normal contact stiffness by increasing the normal load;the normal stiffness decreases with the increase of the surface characteristic length scale coefficient G^*and increases with the increase of the material characteristic parametersФ;it can improve the normal stiffness of the gear joint surface by increasing the modulus or tooth number of the gear.

关 键 词：分形理论 法向刚度 法向载荷 齿轮 

分 类 号：TH113[机械工程—机械设计及理论]