Traditional tolerance analyses such as the worst case methods and the statistical methods are applicable to rigid body assemblies. However, for flexible sheet metal assemblies, the traditional methods are not adequate: the components can deform, changing the dimensions during assembly. This paper evaluates the effects of deformation on component tolerances using linear mechanics. Two basic configurations, assembly in series and assembly in parallel, are investigated using analytical methods. Assembly sequences and multiple joints beyond the basic configurations are further examined using numerical methods (with finite element analysis). These findings constitute a new methodology for the tolerancing of deformable parts.
Issue Section:
Research Papers
1.
ANSI Y14.5M, 1994, Dimensioning and Tolerancing, The American Society of Mechanical Engineers, New York.
2.
Chase
K. W.
Greenwood
W. H.
1987
, “Design Issues in Mechanical Tolerance Analysis
,” ASME Manufacturing Review
, Vol. 1
, No. 1
, pp. 50
–59
.3.
Chase, K. W., and Parkinson, 1991, “A Survey of Research in the Application of Tolerance Analysis to the Design of Mechanical Assemblies,” Research in Engineering Design, No. 3, pp. 23–37.
4.
Dong
Z.
Soom
A.
1990
, “Automatic Optimal Tolerance Design for Related Dimension Chains
,” ASME Manufacturing Review
, Vol. 3
, No. 4
, pp. 262
–271
.5.
Dong
Z.
Hu
W.
Xue
D.
1994
, “New Production Cost-Tolerance Models for Tolerance Synthesis
,” ASME JOURNAL OF ENGINEERING FOR INDUSTRY
, Vol. 116
, May, pp. 199
–206
.6.
Fortini, E. I., 1967, Dimensioning for Interchangeable Manufacturing, Industrial Press, New York. p. 48.
7.
Greenwood
W. H.
Chase
K. W.
1987
, “A New Tolerance Analysis Method for Designers and Manufacturers
,” ASME Journal of Engineering for Industry
, Vol. 109
, May, pp. 112
–116
.8.
Greenwood
W. H.
Chase
K. W.
1990
, “Root Sum Square Tolerance Analysis with Nonlinear Problems
,” ASME Journal of Engineering for Industry
, Vol. 112
, Nov., pp. 382
–384
.9.
Juster
N. P.
1992
, “Modelling and Representation of Dimensions and Tolerances: A Survey
,” Computer Aided Design
, Vol. 24
, No. 1
, pp. 3
–17
.10.
Lee
J. D.
Haynes
L. S.
1987
, “Finite Element Analysis of Flexible Fixturing Systems
,” ASME Journal of Engineering for Industry
, Vol. 109
, pp. 134
–139
.11.
Lee
W. J.
Woo
T. C.
1990
, “Tolerances: Their Analysis and Synthesis
,” ASME Journal of Engineering for Industry
, Vol. 112
, May, pp. 113
–121
.12.
MATLAB, 1994, The Mathworks, Inc., Version 4.2a.
13.
Menassa
R.
DeVries
W.
1991
, “Optimization Methods Applied to Selecting Support Positions in Fixture Design
,” ASME Journal of Engineering for Industry
, Vol. 113
, Nov., pp. 412
–418
.14.
MSC/NASTRAN, 1988, User’s Manual, The MacNeal-Schwendler Corporation.
15.
Requicha
A. A. G.
1993
, “Mathematical Definition of Tolerance Specifications
,” ASME Manufacturing Review
, Vol. 6
, No. 4
, pp. 269
–274
.16.
Requicha
A. A. G.
Chan
S. C.
1986
, “Representation of Geometric Features, Tolerances, and Attributes in Solid Modelers Based on Constructive Geometry
,” IEEE J. Robotics and Automation
, Vol. RA-2
, Sept., pp. 156
–166
.17.
Roy
U.
Liu
C. R.
Woo
T. C.
1991
, “Review of Dimensioning and Tolerancing: Representation and Processing
,” Computer Aided Design
, Vol. 23
, No. 7
, pp. 466
–483
.18.
Skalmierski, B., 1979, Mechanics and Strength of Materials, Elsevier Scientific Publishing Company, New York.
19.
Spotts, M. F., 1978, “Dimensioning Stacked Assemblies,” Machine Design, Apr., pp. 60–63.
20.
Takezawa
N.
1980
, “An Improved Method for Establishing the Process-Wise Quality Standard
,” Reports of Statistical Application Research
, Union of Japanese Scientists and Engineers (JUSE), Vol. 27
, No. 3
, September, pp. 63
–76
.21.
Treacy
P.
Ochs
J. B.
Ozsoy
T. M.
Wang
Nanxin
1991
, “Automated Tolerance Analysis for Mechanical Assemblies Modeled with Geometric Features and Relational Data Structure
,” Computer-Aided Design
, Vol. 23
, No. 6
, pp. 444
–453
.22.
Turner
J. U.
1993
, “A Feasibility Space Approach for Automated Tolerancing
,” ASME Journal of Engineering for Industry
, Vol. 115
, Aug., pp. 341
–346
.23.
Wu
Z.
ElMaraghy
W. H.
ElMaraghy
H. A.
1988
, “Evaluation of Cost-Tolerance Algorithms for Design Tolerance Analysis and Synthesis
,” ASME Manufacturing Review
, Vol. 1
, No. 3
, pp. 168
–179
.
This content is only available via PDF.
Copyright © 1996
by The American Society of Mechanical Engineers
You do not currently have access to this content.