EVALUATION OF MINIMUM ZONE FLATNESS BY MEANS OF NONLINEAR OPTIMIZATION TECHNIQUES AND ITS VERIFICATION

被引:48
作者
KANADA, T
SUZUKI, S
机构
[1] Department of Mechnical Engineering, Kanto Gakuin University, Yokohama City
[2] Toshiba Corp., Tamagawa Factory, Integrated Circuit Manufacturing Technology Group, Kawasaki City
来源
PRECISION ENGINEERING-JOURNAL OF THE AMERICAN SOCIETY FOR PRECISION ENGINEERING | 1993年 / 15卷 / 02期
关键词
MINIMUM ZONE FLATNESS; DOWNHILL SIMPLEX METHOD; REPETITIVE BRACKETING METHOD; LEAST-SQUARES METHOD; CONVERGENCE CRITERIA; MACHINING CONDITION;
D O I
10.1016/0141-6359(93)90343-9
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This article deals with the application of some nonlinear optimization techniques for minimum zone flatness. The convergence criteria of the techniques, namely the downhill simplex method and the repetitive bracketing method, are considered. The least-squares method is also applied, and subsequently the three methods are compared from the viewpoint of computational accuracy. A surface profile measuring system and a noncontact sensor are used to obtain three-dimensional data. The measured data are expressed by means of perspective mapping. Subsequently, the relationship among the above three methods is clarified according to accuracy and efficiency of the computation. Furthermore, some examples of the relationship between the manufacturing method and the flatness value, and the technique of a skilled hand are described.
引用
收藏
页码:93 / 99
页数:7
相关论文
共 17 条
[1]  
Tsukada, Kanada, Okuda, An evaluation of roundness from minimum zone centre by means of an optimization technique, Bull JSPE, 18, pp. 77-81, (1984)
[2]  
Tsukada, Kanada, Minimum zone evaluation of cylindricity deviation by some optimization techniques, Bull JSPE, 19, pp. 18-23, (1985)
[3]  
Tsukada, Liu, Kanada, A verification technique of minimum zone conical taper form, Bull JSPE, 22, pp. 211-215, (1988)
[4]  
Murthy, Abdin, Minimum zone evaluation of surfaces, Int J MTDR, 20, pp. 123-136, (1980)
[5]  
Chetwynd, Application of linear programming to engineering metrology, Proc Inst Mech Eng (B), 199, pp. 93-100, (1985)
[6]  
Murthy, Reddy, Radhakrishnan, A method for evaluation of elliptical profiles, Prec Eng, 5, pp. 77-81, (1983)
[7]  
Meijer, de Bruin, Determination of flatness from straightness measurements and characterization of the surface by four parameters, Prec Eng, 3, pp. 17-22, (1981)
[8]  
Meijer, de Bruin, Some results of flatness measurement, Precision Engineering, 3, pp. 23-26, (1981)
[9]  
Takamasu, Ozono, Determination of datum plane by least squares method, J JSPE, 51, pp. 563-568, (1985)
[10]  
Simokobe, Toyama, Fukuda, Evaluation of form errors by minimum zone method, J JSPE, 50, pp. 697-703, (1984)