Developing skin model in coordinate metrology using a finite element method

被引:25
作者
Lalehpour, Amirali [1 ]
Barari, Ahmad [1 ]
机构
[1] Univ Ontario, Inst Technol, Dept Automot Mech & Mfg Engn, 2000 Simcoe St North, Oshawa, ON L1H 7K4, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Skin model; Deviation zone evaluation; Coordinate metrology; Finite element analysis; Poisson equation;
D O I
10.1016/j.measurement.2017.05.056
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Coordinate metrology processes typically include the measurement of a limited number of discrete 3D points from the measured surface to estimate the geometric deviation zone of the entire surface from an ideal geometry. Three main computational tasks are required in coordinate metrology of manufactured surfaces including Point Measurement Planning (PMP), Substitute Geometry Estimation (SGE), and Deviation Zone Evaluation (DZE). The issue of uncertainties in the results of any of these three tasks potentially jeopardizes the accuracy of the entire inspection process. It is also shown recently that interactive closed -loops between DZE and PMP, or SGE will increase the efficiency, and reduce the sources of uncertainties in the computational processes. This paper presents a methodology to complete a comprehensive DZE for the entire measured surface using the geometric deviations of a limited number of measured discrete sample points. The result of a detailed DZE is a skin model of the measured workpiece which represents the geometric deviation at any point on the measured surface from the ideal geometry. The developed skin model is definitely needed when the inspection results are used for all possible downstream processes, planning for precise finishing operations, manufacturing error compensation, closed loop of manufacturing and inspection, dynamic process control, or accurate verification of design tolerances. The developed methodology in this paper uses a finite element approach to solve the differential equation for detailed DZE of the entire surface estimating the geometric deviations for any location that is not measured on the surface. The methodology is fully implemented and employed in various case studies on several industrial parts. The resulting skin models are examined and successful results are achieved. The developed methodology can be easily adopted by commonly used coordinate metrology computational software tools. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码:149 / 159
页数:11
相关论文
共 22 条
[1]   Computing and rendering point set surfaces [J].
Alexa, M ;
Behr, J ;
Cohen-Or, D ;
Fleishman, S ;
Levin, D ;
Silva, CT .
IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, 2003, 9 (01) :3-15
[2]   The power crust, unions of balls, and the medial axis transform [J].
Amenta, N ;
Choi, SH ;
Kolluri, RK .
COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 2001, 19 (2-3) :127-153
[3]  
[Anonymous], 2011, 1745012011 EN ISO
[4]   NURBS representation of estimated surfaces resulting from machining errors [J].
Barari, A. ;
ElMaraghy, H. A. ;
Orban, P. .
INTERNATIONAL JOURNAL OF COMPUTER INTEGRATED MANUFACTURING, 2009, 22 (05) :395-410
[5]  
Barari A., 2015, ACTA IMEKO, V4, P20
[6]  
Barari A., 2014, J CMSC, V9, P22
[7]   Search-guided sampling to reduce uncertainty of minimum deviation zone estimation [J].
Barari, Ahmad ;
ElMaraghy, Hoda A. ;
Knopf, George K. .
JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING, 2007, 7 (04) :360-371
[8]  
Barari A, 2012, SER ADV MATH APPL SC, V84, P18
[9]   Reducing rigidity by implementing closed-loop engineering in adaptable design and manufacturing systems [J].
Barari, Ahmad ;
Pop-Iliev, Remon .
JOURNAL OF MANUFACTURING SYSTEMS, 2009, 28 (2-3) :47-54
[10]  
de Aquino D. M., 2009, ABCM S M, V4, P11