弹塑形变的结合面法向刚度分形模型及仿真  

Fractal modeling and simulation on normal stiffness for elastic-plastic deformation joint surface

作　　者：李小彭[1] 孙德华[1] 梁友鉴 王丹[1] 岳冰[1] 

机构地区：[1]东北大学机械工程与自动化学院,辽宁沈阳110819

出　　处：《中国工程机械学报》2015年第3期189-196,共8页Chinese Journal of Construction Machinery

基　　金：国家自然科学基金(51275079);新世纪优秀人才支持计划(NCET-10-0301);辽宁省百千万人才工程培养经费资助项目(2014921018)

摘　　要：为了探索微凸体的更真实的变形状态,同时进一步完善结合面的接触刚度分形模型,对M-B分形模型进行了修正,分析了微凸体在弹性、弹塑性以及塑性各阶段的变形状态.从宏观和微观相结合的角度,建立了基于分形理论和赫兹接触理论的结合面法向刚度分形预估模型,该模型具有几何特性和尺度独立性.通过仿真分析揭示了相关参数对结合面法向接触刚度的影响.仿真结果表明:结合面法向接触刚度随着法向载荷、分形维数以及材料特性参数的增大而增大,分形维数对法向接触刚度的影响尤为明显;而结合面的法向接触刚度随着分形尺度参数的增大而减小.To investigated actual deformation of micro-bulge,the fractal model is improved for contact stiffness of joint surface.By modifying the M-B fractal model,the micro-bulge deformations are analyzed on elastic,elastic-plastic and plastic stages.From the macro-and micro-combined perspectives,the fractal prediction model of joint surface normal stiffness is established based on fractal theory and Hertz contact theory.With the geometric and scale independence properties of the proposed model,the impact of relevant parameters upon contact stiffness is revealed via simulation analysis.To this end,it is found from simulation results that the contact stiffness increases with increase of normal loading,fractal dimension and material parameter,whilst the impact of the fractal dimension on normal contact stiffness is particularly evident.In addition,the normal contact stiffness decreases with increase of fractal dimension parameter.

关 键 词：结合面 弹塑性变形 法向接触刚度 分形模型 

分 类 号：TH117[机械工程—机械设计及理论] TH161