Every manufacturing process leaves on the surface a signature, i.e., a systematic pattern that characterizes all the features machined with that process. The present work investigates the effects of considering the manufacturing signature in solving a tolerance stack-up function. A new variational model was developed that allows to deal with the form tolerance. It was used to solve a case study involving three parts with or without considering the correlation among the points of the same surface due to the manufacturing signature. A sensitivity analysis was developed by considering different values of the applied geometrical tolerances.

References

References
1.
Nigam
,
S. D.
, and
Turner
,
J. U.
,
1995
, “
Review of Statistical Approaches to Tolerance Analysis
,”
Comput. Aided Des.
,
27
(
1
), pp.
6
15
.10.1016/0010-4485(95)90748-5
2.
Shen
,
Z.
,
Ameta
,
G.
,
Shah
,
J. J.
, and
Davidson
,
J. K.
,
2005
, “
A Comparative Study of Tolerance Analysis Methods
,”
ASME J. Comput. Inf. Sci. Eng.
,
5
(
3
), pp.
247
256
.10.1115/1.1979509
3.
Prisco
,
U.
, and
Giorleo
,
G.
,
2002
, “
Overview of Current CAT Systems
,”
Integr. Comput. Aided Eng.
,
9
(
4
), pp.
373
397
.
4.
Salomons
,
O. W.
,
van Houten
,
F. J. A. M.
, and
Kals
,
H. J. J.
,
1998
, “
Current Status of CAT Systems
,”
Geometric Design Tolerancing: Theories, Standards and Applications
,
H. A.
ElMaraghy
, ed.,
Chapman & Hall
,
London, UK
, pp.
438
452
.
5.
Polini
,
W.
,
2011
, “
Geometric Tolerance Analysis
,”
Geometric Tolerances: Impact on Product Design, Quality Inspection and Statistical Process Monitoring
,
B. M.
Colosimo
, and
N.
Senin
, eds.,
Springer-Verlag
,
London, UK
, pp.
39
68
.
6.
Polini
,
W.
,
2012
, “
Taxonomy of Models for Tolerance Analysis in Assembling
,”
Int. J. Prod. Res.
,
50
(
7
), pp.
2014
2029
.10.1080/00207543.2011.576275
7.
Martino
,
P. M.
, and
Gabriele
,
G. A.
,
1989
, “
Application of Variational Geometry to the Analysis of Mechanical Tolerances
,”
8th Biennal Conference on Failure Prevention and Reliability
,
Quebec, Canada
, ASME Paper No. DE-Vol. 16, pp. 19–27.
8.
Boyer
,
M.
, and
Stewart
,
N. F.
,
1991
, “
Modeling Spaces for Toleranced Objects
,”
Int. J. Rob. Res.
,
10
(
5
), pp.
570
582
.10.1177/027836499101000512
9.
Gupta
,
S.
, and
Turner
,
J. U.
,
1993
, “
Variational Solid Modelling for Tolerance Analysis
,”
IEEE Comput. Graphics Appl.
,
13
(
3
), pp.
64
74
.10.1109/38.210493
10.
Ascione
,
R.
,
Polini
,
W.
, and
Moroni
,
G.
,
2009
, “
An Approach Based on Process Signature Modelling for Tolerance Analysis
,”
Proceedings of 11th CIRP International Seminar on Computer Aided Tolerancing
,
Annecy, France
, Paper No. a7_2.
11.
Chase
,
K. W.
,
Gao
,
J.
, and
Magleby
,
S. P.
,
1998
, “
Generalized 3-D Tolerance Analysis of Mechanical Assemblies With Small Kinematic Adjustments
,”
IIE Trans.
,
30
(
4
), pp.
367
377
.10.1023/A:1007451225222
12.
Creveling
,
C. M.
,
1997
,
Tolerance Design
,
Addison-Wesley
,
Boston, MA
.
13.
Luenberger
,
D. G.
,
2003
,
Linear and Nonlinear Programming
,
Addison-Wesley
,
New York
.
14.
Nassef
,
A. O.
, and
ElMaraghy
,
H. A.
,
1996
, “
Probabilistic Analysis of Geometric Tolerances
,”
Computer Aided Tolerancing
,
F.
Kimura
, ed.,
Chapman & Hall
,
London, UK
, pp.
187
203
.
15.
Colosimo
,
B. M.
,
Moroni
,
G.
,
Petrò
,
S.
, and
Semeraro
,
Q.
,
2004
, “
Manufacturing Signature of Turned Circular Profiles
,”
Proceedings of the IFAC Conference of Manufacturing
,
Modeling Management and Control
,
Athens, Greece
, Oct. 21–22.
16.
Colosimo
,
B. M.
, and
Pacella
,
M.
,
2005
, “
On the Identification of Manufacturing Processes' Signature
,”
18th International Conference on Product Research, (ICPR-18)
,
Salerno, Italy
, July 31–Aug. 4.
17.
Colosimo
,
B. M.
,
Pacella
,
M.
, and
Semeraro
,
Q.
,
2008
, “
Statistical Process Control For Geometric Specification: On the Monitoring of Roundness Profile
,”
J. Quality Technol.
,
40
(
1
), pp.
1
18
.
You do not currently have access to this content.