分形粗糙表面加卸载接触特性演变行为分析

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (23) : 46-53.

论文

分形粗糙表面加卸载接触特性演变行为分析

刘楷安，徐颖强，吴正海，李万钟

作者信息 +

Evolution behavior analysis for loading and unloading contact characteristics of fractal rough surface

LIU Kaian, XU Yingqiang, WU Zhenghai, LI Wanzhong

Author information +

文章历史 +

摘要

粗糙表面加卸载接触特性演变行为对研究界面接触力学性能具有重要的理论意义。基于粗糙表面分形理论，依据修正的双参数Weierstrass-Mandelbrot(W-M)分形函数，采用点云处理技术和Coons patch曲面拟合方法生成三维分形粗糙表面数字模型。根据Prandtl-Reuss本构关系和von Mises屈服准则，选择双线性等向强化非线性材料，建立了精确的分形粗糙表面与刚性平面接触有限元模型。探讨加卸载过程中分形维数和尺度参数对粗糙表面接触载荷、接触面积和变形量的影响；同时，采用核密度估计法分析不同接触状态下粗糙表面形貌高度参数分布的演变规律，并从分形参数和能量角度揭示分形粗糙表面接触特性的内在机理，为进一步研究粗糙表面接触力学性能和载荷传递效率与增强机理提供理论依据。

Abstract

The evolution of loading and unloading contact characteristics of rough surfaces is of great importance to study on interface contact mechanical performance.Here, based on the rough surface fractal theory, according to the modified dual-parameter Weierstrass-Mandelbrot (W-M) fractal function, a 3-D fractal rough surface digital model was generated with the point cloud processing technique and Coons patch curved surface fitting method.According to Prandtl-Reuss constitutive relation and von Mises yield criterion, bilinear isotropic reinforced nonlinear materials were used to establish an accurate finite element model for a fractal rough surface contacting a rigid plane.Effects of fractal dimension and size parameters on contact load, contact area and deformation during loading and unloading were explored.The kernel density estimation method was used to analyze evolution laws of morphologic height parametric distribution of rough surface under different contact states, and reveal the mechanism of fractal rough surface contact characteristics from standpoints of fractal parameters and energy.The results provided a theoretical basis for further studying rough surface’s contact mechanical performance, interface load transfer efficiency and enhancement mechanism.

导出引用

刘楷安，徐颖强，吴正海，李万钟. 分形粗糙表面加卸载接触特性演变行为分析[J]. 振动与冲击, 2019, 38(23): 46-53

LIU Kaian, XU Yingqiang, WU Zhenghai, LI Wanzhong. Evolution behavior analysis for loading and unloading contact characteristics of fractal rough surface[J]. Journal of Vibration and Shock, 2019, 38(23): 46-53

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