固定结合面法向接触阻尼三维分形模型  

Fractal Model for Normal Contact Damping of Joint Surface Based on Three-Dimensional Contact Fractional Theory

作　　者：兰国生[1] 李祥 孙万 张学良[1] 冀成龙 李声祺 LAN Guo-sheng;LI Xiang;SUN Wan;ZHANG Xue-liang;JI Cheng-long;LI Sheng-qi(School of Mechanical Engineering,Taiyuan University of Science and Technology,Taiyuan 030024,China)

机构地区：[1]太原科技大学机械工程学院,太原030024

出　　处：《组合机床与自动化加工技术》2021年第9期75-80,共6页Modular Machine Tool & Automatic Manufacturing Technique

基　　金：国家自然科学基金(51275328);山西省自然科学基金(201601D011062);山西省“1331”工程重点学科建设资助项目。

摘　　要：基于分形理论,考虑了摩擦因素的影响和微凸体的变形过程,将结合面法向接触动力学模型等效为弹簧和粘性阻尼器,建立了固定结合面法向接触阻尼模型及结合面间阻尼损耗因子模型。仿真结果表明,结合面法向接触阻尼系数随着分形维数、无量纲分形粗糙度参数增大而增大,随着无量纲法向接触载荷增大而减小;结合面无量纲法向接触阻尼随着分形维数的增大而增大,随着应变指数的增大而减小;无量纲法向接触载荷,无量纲分形粗糙度参数以及摩擦系数对结合面无量纲法向接触阻尼的影响趋势均与分形维数所处范围有关。The normal contact dynamic model of the joint surface is equivalent to spring and viscous damper,combined with fractal theory,and considering the influence of friction factors and deformation process of the micro-convex body,a fractal model for normal contact damping of joint surface is established.The results reveal that the damping loss factor increases with the increase of the fractal dimension,the dimensionless fractal roughness parameters,but decreases with the increase of the dimensionless normal contact load.The dimensionless normal contact damping increases with the increase of the fractal dimension,but decreases with the increase of strain index.The influence trend of dimensionless normal contact load,dimensionless fractal roughness parameters and friction factors on dimensionless normal contact damping of joint surface is related to the range of fractal dimension.

关 键 词：分形理论 结合面 法向接触刚度 法向接触阻尼 阻尼损耗因子 

分 类 号：TH16[机械工程—机械制造及自动化] TG506[金属学及工艺—金属切削加工及机床]