【摘要】 粗糙表面的计算机模拟是建立粗糙表面模型进而对粗糙表面间相互作用进行模拟研究的前提。提出一种基于时间序列模型、数字滤波技术和Johnson转换系统的粗糙表面模拟方法,分别模拟了各向同性与各向异性、高斯与非高斯分布条件下具有不同形式自相关函数的粗糙表面,并对复杂合成粗糙表面的模拟进行了尝试。最后,对粗糙表面模拟过程中的误差进行了初步分析。结果表明,提出的粗糙表面模拟方法能快速有效地模拟具有指定自相关函数的高斯或非高斯随机粗糙表面;在一定的条件下模拟表面的统计特征与规定值误差很小,但当相关长度比较大的时候,误差比较明显。更多还原

【Abstract】 To simulate the roughness surface is the pre-condition that builds the roughness model and simulates the interaction of two contacted surface.A method based on the time-series model,the low-pass digital filter method and Johnson Transform System was presented.To utilized this method,the Gaussian distribution surfaces and the Non-Gaussian distribution surface which have different ACF were generated,then the method of simulating synthetic surfaces that have the closed-form of the real surfaces were discussed and tried.The error in the processes was analyzed.The results show the method can generate the isotropy and anisotropy surfaces based on different ACF quickly and efficiently;under the certain condition,the error between the statistic parameters of the simulating surface and the expectation is tiny,but the length of correlation becomes larger,the error can not be ignored.更多还原