摘要
粗糙表面的数字模拟是工件接触性能研究的前提与基础。针对现有粗糙表面模拟方法的不足,提出一种新的三维高斯粗糙表面数字化模拟方法。根据设定的自相关函数矩阵构造求解转换矩阵的非线性方程组,采用改进的非线性共轭梯度法进行求解,根据得到的转换矩阵对随机矩阵进行变换,得到三维高斯粗糙表面的高度分布。最后利用提出的方法模拟了各向同性、异性两种高斯粗糙表面,通过对比分析模拟粗糙表面自相关函数,验证了该方法的有效性。
The numerical simulation of rough surfaces is research precondition and basis of contact capacity of engineer- ing assemblies. Aim at the shortcoming in the simulation of rough surfaces, a new numerical simulation method of 3 D gaussian rough surface was proposed. Based on the given autocorrelation function （ACF）, the non-linear equations were constructed for computing transformation matrix, the transformation matrix was acquired by solving the equations with the improved non-linear conjugate gradient method ; The height distribution matrix of rough surface was acquired by transforming random matrix based on the transformation matrix. At last, the anisotropic and isotropic 3D Gaussian rough surfaces were simulated by the proposed method, and the proposed method was validated by the contrast result of autocorrelation function curves.
出处
《表面技术》
EI
CAS
CSCD
北大核心
2013年第2期63-65,83,共4页
Surface Technology
基金
国家自然科学基金资助项目(51075395)
关键词
粗糙表面
数字模拟
自相关函数
非线性共轭梯度法
rough surface
numerical simulation
autocorrelation function
non-linear conjugate gradient method
