炊明伟,冯有前,王崴,李培林,马军林.三维高斯粗糙表面数字化模拟方法[J].表面技术,2013,42(2):63-65,83.
CHUI Ming-wei,FENG You-qian,WANG Wei,LI Pei-lin,MA Jun-lin.Numerical Simulation Method of 3 D Gaussian Rough Surface[J].Surface Technology,2013,42(2):63-65,83
三维高斯粗糙表面数字化模拟方法
Numerical Simulation Method of 3 D Gaussian Rough Surface
投稿时间:2012-11-27  修订日期:2012-12-08
DOI:
中文关键词:  粗糙表面  数字模拟  自相关函数  非线性共轭梯度法
英文关键词:rough surface  numerical simulation  autocorrelation function  non-linear conjugate gradient method
基金项目:国家自然科学基金资助项目(51075395)
作者单位
炊明伟 空军工程大学 防空反导学院, 西安 710051 
冯有前 空军工程大学 理学院, 西安 710051 
王崴 空军工程大学 防空反导学院, 西安 710051 
李培林 空军工程大学 防空反导学院, 西安 710051 
马军林 空军工程大学 防空反导学院, 西安 710051 
AuthorInstitution
CHUI Ming-wei School of Air and Missile Defense, Air Force Engineering University, Xi'an 710051 , China 
FENG You-qian School of Science, Air Force Engineering University, Xi'an 710051 , China 
WANG Wei School of Air and Missile Defense, Air Force Engineering University, Xi'an 710051 , China 
LI Pei-lin School of Air and Missile Defense, Air Force Engineering University, Xi'an 710051 , China 
MA Jun-lin School of Air and Missile Defense, Air Force Engineering University, Xi'an 710051 , China 
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中文摘要:
      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。
英文摘要:
      The numerical simulation of rough surfaces is research precondition and basis of contact capacity of engineering 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 3 D Gaussian rough surfaces were simulated by the proposed method, and the proposed method was validated by the contrast result of autocorrelation function curves.
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