二维自适应粗糙表面表征参数相关性研究

摘要

In order to offer a theoretical basis for the selection of adaptive threshold for the asperity surfaces of different roughness and different correlation length,a series of 2D rough surface are generated with random function and Fourier Transform.The relationship between characteristic parameters of surface topography,such as root mean square slope and curvature of asperity peaks varying with correlation length,is studied.The parameter δ^-,which is the ratio of adaptive threshold to root mean square curvature of asperity peaks,is firstly presented,and then the correlation that the number of adaptive nodes are dependent on parameter δ-is also investigated.Substantive numerical simulation of elastic-plastic contact between various adaptive rough surfaces and a rigid plane are carried out,and then results demonstrate that the precision of calcualtions can be guaranteed if δ^-1.3×10^-6 mm2.%采用自适应粗糙表面表征的弹塑性接触模型,能在确保良好计算精度的同时,有效地减少接触计算时间。利用随机函数和傅立叶变换技术生成了一系列不同粗糙度、不同相关长度的随机粗糙表面轮廓,研究粗糙表面轮廓的坡度参数、峰顶曲率参数随轮廓相关长度的变化规律,并提出自适应阈值与峰顶曲率参数的比值参数δ-,为不同粗糙表面轮廓的自适应阈值的选择建立了依据。最后,分析了数值生成的自适应粗糙表面与一刚性平面的弹塑性接触情况。结果显示,当比值参数δ-〈1.3×10-6 mm2,不同粗糙度、不同相关长度的自适应粗糙表面轮廓与刚性平面的接触计算,均可获得较佳精度。