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首页> 外文期刊>Japanese Journal of Tribology >Modeling and generation of three-dimensional random surface roughness data by the non-causal two-dimensional AR model (Part 1): method and examination by isotropic surface roughness
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Modeling and generation of three-dimensional random surface roughness data by the non-causal two-dimensional AR model (Part 1): method and examination by isotropic surface roughness

机译：用非因果二维AR模型建模和生成三维随机表面粗糙度数据（第1部分）：各向同性表面粗糙度的方法和检验

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摘要

In this paper, a method of modeling and generation of 3-D surface roughness data using non-causal 2-D autoregressive (AR) model is described. Non-causal 2-D AR model is an advanced model of causal 2-D AR model used in previous researches. The proposed method consists of the estimation of 2-D AR parameters from measured actual surface roughness, generation of 3-D surface roughness data with the estimated 2-D AR model and the modification of height distribution with Johnson transformation. Modeling and generation of isotropic 3-D surface roughness (EDM surface) are carried out with the non-causal and causal 2-D AR model methods. The similarity between generated surface and measured surface is examined with some surface parameters. The evaluated surface parameters are height probability density function, correlation distance, spatial distribution of summits, local tip geometry, etc. The results show that non-causal 2-D AR model is more appropriate than causal 2-D AR model in crest spacings and local tip geometry.
机译：本文介绍了一种使用非因果二维自回归（AR）模型建模和生成3-D表面粗糙度数据的方法。非因果2-D AR模型是先前研究中使用的因果2-D AR模型的高级模型。所提出的方法包括：根据测得的实际表面粗糙度估算2D AR参数，使用估算的2D AR模型生成3D表面粗糙度数据，以及用Johnson变换修改高度分布。各向同性的3-D表面粗糙度（EDM表面）的建模和生成是使用非因果和因果的2-D AR模型方法进行的。使用某些表面参数检查生成的表面与被测表面之间的相似性。评估的表面参数包括高度概率密度函数，相关距离，山顶的空间分布，局部尖端几何形状等。结果表明，在波峰间距和波峰间距方面，非因果的2-D AR模型比因果的2-D AR模型更合适。局部尖端几何形状。

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