两弹性接触粗糙表面的最小二乘法拟合解

GW干接触模型在算法上存在5个缺陷，会引入工程上无法接受的误差．根据Hertz接触理论和抛物柱面函数的离散值，对两接触粗糙表面的接触行为进行了研究．当粗糙表面峰高的概率密度为Gauss分布时，给出了7个量纲一的参数与量纲一的表面间距的关系，给出了最小二乘法拟合解．计算表明：量纲一的最大名义压应力为0．5732，平均弹性接触硬度系数约为3．2，接触压应力系数约为0．32．研究结果说明：单峰接触面积与名义压应力几乎无关，接触压应力与名义压应力几乎无关，接触面积与载荷近似成正比，接触点数与载荷近似成正比．

Least Square Method Fit Solutions for Two Elastic Contact Rough Surfaces

OW dry contact model, which results in the unacceptable error in engineering, has 5 shortcomings in the arithmetic. According to Hertzian contact theory and some discrete values of the parabolic cylinder function, contact behavior for two contact rough surfaces was studied. Seven relations between the dimen- sionless variables and dimensionless surface separation, and the least-square method fit solutions were presented when the asperity heights of rough surface follow a Gaussian distribution. The calculations show that the dimensionless maximum nominal pressure is 0. 573 2; the mean elastic contact hardness coefficient is approximately 3.2; and the contact pressure coefficient is nearly 0.32. The study results show that the asperity contact area and contact pressure are both nearly independent of the nominal pressure; while the contact area and contact spot number are both approximately proportional to the load.