Table 1 Experimental conditions Fig. 1 Belt sanded surface model Table 2 Factor loadings of final varimax criterion 5 6

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1 JSPE Factor Analysis of Relationhsip between One's Visual Estimation and Three Dimensional Surface Roughness Properties on Belt Sanded Surface Motoyoshi HASEGAWA and Masatoshi SHIRAYAMA This paper presents the quantitative relationship between one's visual estimation and the analytical data of the high quality surface texture. The quality of belt sanded surface is investigated systematically by 50 panelers. The test pieces are ground under the various grinding conditions using the platen type belt grinder. The results of factor analysis point out clearly that there are strong relationships between high quality and the properties of surface geometry based on the correlation diagram. The physical meaning of high quality estimation are explained by the range of (1) mean curvature, (2) mean slope of asperity, (3) optical characteristic roughness SN, (4) center-line average height Ra, (5) the number of peaks, and (6) the number of zero-crossings, respectively. It was found that the irregularity of long crestedness perpendicular to grinding direction can be estimated by ARMA (4, 3) model of SN due to 0.2 mm beam. Key words : visual estimation, three dimensional property, factor analysis, irregularity of long crestedness 5 5

2 Table 1 Experimental conditions Fig. 1 Belt sanded surface model Table 2 Factor loadings of final varimax criterion 5 6

3 Fig. 3 The perspective view of the belt sanded surface by # 80, # 150 and # 240 belt V = 960 m/min, W = 35 kpa 5 7

4 Fig. 4 Relationships between one's visual estimation (high quality) and mean curvature mean slope ƒõ of asperity Fig. 5 Relationships between one's visual estimation (high quality) and optical characteristic roughness SN, center-line average height Ra Fig. 6 Relationships between one's visual estimation (high quality) and the number of peaks DP, zero-crossings Dz 5 8

5 Fig. 7 Relationships between one's visual estimation (long crestedness) and mean curvature Ċ, mean slope ě of asperity Fig. 8 Relationships between one's visual estimation (long crestedness) and optical characteristic roughness SN, center-line averge height Ra 5 9

6 Fig. 9 SN discrete data due to 0.2 mm beam for three kinds of belt sanded surface 35 kpa, V=960 m/min, t =10 s) and oillighter surface Fig. 10 Distribution of SN discrete data measured perpendicular to grinding direction on the belt sanded surface by 0.2 mm beam Fig. 11 The Green function of SN discrete data calculated by ARMA(4, 3) model Table 3 Parameters of visual estimation function ARMA(4, 3) model 6 0

7 Fig. 12 Contour map of belt sanded surface of (a) high quality surface texture and (b) low quality surface texture (# 150, W=35 kpa, V=960 m/min 1) R. Brodmann: Optisches Rauheitsme gerat fur die Fertigung, Feinwerktechnik u. Me technik, 91, 2, (1983) 63. 5) S. M. Pandit & S. M. Wu : Data Dependent Systems, A New Approach to Manufacturing System Analysis, 1st I. C. P. E., part 1, Tokyo, (1974)

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