机械结合面法向接触刚度三维分形理论模型  

Three Dimensional Fractal Theoretical Model of Normal Contact Stiffness of Mechanical Joint Surface

作　　者：李声祺 兰国生[1] 李祥 冀成龙 杨琦 李勇 LI Sheng-qi;LAN Guo-sheng;LI Xiang;JI Cheng-long;YANG Qi;LI Yong(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》2023年第1期6-10,14,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)。

摘　　要：为了解决以往在结合面上法向接触刚度分形建模理论研究的计算过程中存在的一些问题,所以专门对结合面上单个微凸体的弹性、弹塑性接触变形模型中的法向载荷和刚度的计算过程进行了适当的改进,从而建立了一种考虑弹性、弹塑性和塑性3种变形机理的法向接触刚度模型。通过模型理论预测值与实际测量值的比较可知,所建立的分形模型可以较好地预测法向接触刚度,进一步说明了所建模型的可靠性和精度,也证实了改进算法的可行性。所建模型可以用于相关接触刚度的计算与分析,有助于对结合面的刚度动态特性做进一步的研究。In the theoretical study of the fractal modeling problem,the method of combining the normal contact stiffness of the surface is fully considered.Aiming at the flexibility of a single asperity,the calculation method of the elastic-plastic contact deformation model is improved,and an elastic fractal model is established combined with the surface normal contact stiffness,elastic-plastic and plastic deformation mechanism is considered comprehensively.The comparison of the predicted and measured values shows that the established fractal model can more accurately predict the global contact stiffness.This further proves the reliability and accuracy of the established model and the potential for improving the algorithm.The established model can also be used for the statistics and research of the normal contact stiffness,which provides a theoretical basis for further research on the dynamic stiffness characteristics of joint materials.

关 键 词：结合面 弹塑性 法向接触刚度 分形模型 

分 类 号：TH16[机械工程—机械制造及自动化] TG501[金属学及工艺—金属切削加工及机床]