考虑微凸体间相互作用的机床结合面加载接触特性分形理论建模  

Fractal theoretical modeling of loading contact characteristics of machine tool joint interfaces considering interaction between asperities

作　　者：王颜辉 郭强 孙万 张学良[3] WANG Yanhui;GUO Qiang;SUN Wan;ZHANG Xueliang(Mechtronics Engineering,Shanxi Institute of Energy,Jinzhong 030601,CHN;Oil Film Bearing Sub-Co.,Taiyuan Heavy Industry Co.,Ltd.,Taiyuan 030024,CHN;School of Mechanical Engineering,Taiyuan University of Science and Technology,Taiyuan 030024,CHN)

机构地区：[1]山西能源学院机电工程系,山西晋中030601 [2]太原重型机械集团有限公司油膜轴承分公司,山西太原030024 [3]太原科技大学机械工程学院,山西太原030024

出　　处：《制造技术与机床》2024年第6期102-107,共6页Manufacturing Technology & Machine Tool

基　　金：山西省高等学校科技创新项目“考虑复合因素影响的机床固定结合面加卸载接触特性多尺度分析建模”(2022L611);国家自然科学基金面上项目“固定结合面接触刚度多尺度模型、动力学建模与位置分布设计方法”(51275328);山西能源学院科研基金项目“基于多样微凸体的结合面接触特性研究”(ZY-2023012);山西省自然科学基金项目“数控机床固定结合面加卸载过程接触分形建模研究”(201901D111248)。

摘　　要：文章基于分形几何理论,考虑机械结合面微凸体间的相互作用对结合面接触特性的影响,同时考虑微凸体发生弹塑性变形的两个阶段,得出考虑微凸体间相互作用的单个微凸体的弹性临界变形;从而建立考虑微凸体间相互作用的单个微凸体各变形阶段接触载荷、接触刚度理论模型;进一步建立考虑微凸体间相互作用的结合面真实接触载荷、接触刚度分形理论模型,并进行无量纲处理,分别得出接触载荷、接触刚度与接触面积之间量纲为一的关系式。通过仿真分析对比,可见考虑微凸体间相互作用时单个微凸体的临界变形小于不考虑微凸体间相互作用时,而对应的微凸体接触载荷、接触刚度则大于不考虑微凸体间相互作用时。对比考虑微凸体间相互作用时不同分形维数对结合面接触载荷、接触刚度的影响,得出考虑微凸体间相互作用时分形维数增大结合面接触载荷、接触刚度呈增大趋势。Based on fractal geometry theory,the influence of the interaction between asperities on the contact characteristics of mechanical joint interfaces is considered.At the same time,the two stages of elastic-plastic deformation of asperities are considered,and the elastic critical deformation of the asperity considering the interaction between asperities is obtained.Thus,a theoretical model for the contact load and contact stiffness of a single asperity at each deformation stage is established,taking into account the interaction between asperities.Further establish a fractal theoretical model for the real contact load and contact stiffness of the joint interface considering the interaction between asperities,and perform dimensionless processing.Derive the one-dimensional relationship between contact load,contact stiffness,and contact area.Through simulation analysis and comparison,it can be seen that the critical deformation of a single asperity when considering the interaction between asperities is smaller than when not considering the interaction between asperities,while the corresponding contact load and contact stiffness of asperities are greater than when not considering the interaction between asperities.By comparing the effects of different fractal dimensions on the contact load and contact stiffness of the joint interface when considering the interaction between asperities,it is found that the fractal dimension increases when considering the interaction between asperities,and the contact load and contact stiffness of the joint interface show an increasing trend.

关 键 词：结合面 相互作用 微凸体 分形理论 接触特性 

分 类 号：TH113.1[机械工程—机械设计及理论]