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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.

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