The aim of this work is to present a method for the tolerance analysis of an assembly involving free-form surfaces based on dimensional and geometric tolerances. The great effort of the present work is to deal with dimensional and geometric tolerances applied to free-form surfaces. The case of study is the flaperon, a structural component of the aircraft, that is constituted by one skin cover, eight ribs, and one spar. The ten components of the flaperon are connected by adhesive, in order to overcome the problems due to the rivets use. Adhesive thickness between the faced parts to connect should be as constant as possible in order to obtain the right structural connection. The influence of the tolerances applied to the ten components of the flaperon on the value of the gap at the interfaces among each couple of components has been deeply investigated by means of the proposed method. Moreover, the influence of the tolerances on the aerodynamic performances of the flaperon has also been analyzed.

1.
Parkinson
,
A.
,
Chase
,
K.
, and
Rogers
,
M.
, 1999, “
Robust Design Via Tolerance Analysis in the Conceptual Design Stage
,”
Proceedings of ASME Design Engineering Technical Conferences
, Las Vegas, Nevada, September 12–15, Paper No. DETC99/DAC-8577.
2.
Whitney
,
D. E.
, 2004,
Mechanical Assemblies. Their Design, Manufacture and Role in Production Development
,
Oxford University Press Inc.
, New York.
3.
Delchambre
,
A.
, 1996,
CAD Method for Industrial Assembly. Concurrent Design of Product, Equipment and Control Systems
,
Wiley
, New York.
4.
Hong
,
Y. S.
, and
Chang
,
T. C.
, 2002, “
A Comprehensive Review of Tolerancing Research
,”
Int. J. Prod. Res.
0020-7543,
40
(
11
), pp.
2425
2459
.
5.
Shen
,
Z.
,
Ameta
,
G.
,
Shah
,
J. J.
, and
Davidson
,
J. K.
, 2004, “
A Comparative Study of Tolerance Analysis Methods
,”
Proceedings of ASME 2004 Design Engineering Technical Conferences and Computers and Information in Engineering Conference
,
Salt Lake City, Utah, September 28–October 2, Paper No. DETC2004-57699.
6.
Chase
,
K. W.
,
Gao
,
J.
, and
Magleby
,
S. P.
, 1997, “
Tolerance Analysis of 2- and 3-D Mechanical Assemblies with Small Kinematic Adjustments
,”
Advanced Tolerancing Techniques
,
H. C.
Zhang
, ed.,
Wiley
, New York, Chap. 5, pp.
103
137
.
7.
Gao
,
J.
,
Chase
,
K. W.
, and
Magleby
,
S. P.
, 1995, “
Comparison of Assembly Tolerance Analysis by the Direct Linearization and Modified Monte Carlo Simulation Methods
,”
Proceedings of ASME Design Engineering Technical Conference
, Boston, Massachusetts, September 17–20, pp.
353
360
.
8.
Chase
,
K. W.
, 1999, “
Multi-Dimensional Tolerance Analysis (Automated Method)
,”
Dimensioning and Tolerancing Handbook
,
P.
Drake
, Jr.
, ed.,
McGraw–Hill
, New York, Chap. 13.
9.
Gupta
,
S.
, and
Turner
,
J. U.
, 1993, “
Variational Solid Modelling for Tolerance Analysis
,”
IEEE Comput. Graphics Appl.
0272-1716,
13
, pp.
64
74
.
10.
Whitney
,
D. E.
,
Mantripraga
,
R.
,
Adams
,
J. D.
, and
Rhee
,
S. J.
, 1999, “
Toward a Theory for Design of Kinematically Constrained Mechanical Assemblies
,”
Int. J. Robot. Res.
0278-3649,
18
, pp.
1235
1248
.
11.
Li
,
B.
, and
Roy
,
U.
, 2001, “
Relative Positioning of Toleranced Polyhedral Parts in an Assembly
,”
IIE Trans.
0740-817X,
33
, pp.
323
336
.
12.
Laperrière
,
L.
, and
Lafond
,
P.
, 1999, “
Modeling Tolerances and Dispersions of Mechanical Assemblies Using Virtual Joints
,”
Proceedings of ASME Design Engineering Technical Conferences
, Las Vegas, Nevada, September 12–15, Paper No. DETC99/DAC-8702.
13.
Laperrière
,
L.
, and
Lafond
,
P.
, 1999, “
Jacobian-Based Modeling of Dispersions Affecting Pre-Defined Functional Requirements of Mechanical Assemblies
,”
Proceedings of IEEE International Symposium on Assembly and Task Planning
, Porto, Portugal, July 21–24, pp.
20
25
.
14.
Laperrière
,
L.
, and
Kabore
,
T.
, 2001, “
Monte Carlo Simulation of Tolerance Synthesis Equations
,”
Int. J. Prod. Res.
0020-7543,
39
, pp.
2395
2406
.
15.
Teissandier
,
D.
,
Couetard
,
Y.
, and
Gerard
,
A.
, 1999, “
A Computer Aided Tolerancing Model: Proportioned Assembly Clearance Volume
,”
Comput.-Aided Des.
0010-4485,
31
, pp.
805
817
.
16.
Bourdet
,
P.
,
Mathieu
,
L.
,
Lartigue
,
C.
, and
Ballu
,
A.
, 1995, “
The Concept of the Small Displacement Torsor in Metrology
,”
International Proceedings Euroconference, Advanced Mathematical Tools in Metrology
, Oxford, U.K., September 27–30.
17.
Clément
,
A.
,
Rivière
,
A.
,
Serré
,
P.
, and
Valade
,
C.
, 1998, “
The TTRSs: 13 Constraints for Dimensioning and Tolerancing
,”
Geometric Design Tolerancing: Theories, Standards and Applications
,
H. A.
ElMaraghy
, ed.,
Chapman & Hall
, London, pp.
123
131
.
18.
Turner
,
J.
, and
Gangoiti
,
A. B.
, 1991, “
Tolerance Analysis Approaches in Commercial Software
,”
Concurr. Eng.
,
1/2
, pp.
11
23
.
19.
Chase
,
K. W.
,
Magleby
,
S. P.
, and
Glancy
,
C. G.
, 1997, “
A Compressive System for Computer-Aided Tolerance Analysis of 2-D and 3-D Mechanical Assemblies
,”
Proceedings of the 5th International CIRP Seminar on Computer-Aided Tolerancing
, Toronto, Ontario, Canada, April 28–29, pp.
27
29
.
20.
Salomons
,
O. W.
,
van Houten
,
F. J. A. M.
, and
Kals
,
H. J. J.
, 1998, “
Current Status of CAT Systems
,”
Geometric Design Tolerancing: Theories, Standardsand Applications
,
H. A.
ElMaraghy
, ed.,
Chapman & Hall
, London, pp.
438
452
.
21.
Prisco
,
U.
, and
Giorleo
,
G.
, 2002, “
Overview of Current CAT Systems
,”
Int. Comp. Aided Eng.
,
9
(
4
), pp.
373
387
.
22.
Sellakh
,
R.
,
Rivière
,
A.
,
Chevassus
,
N.
, and
Falgarone
,
H.
, 2003, “
An Assisted Method for Tolerancing Applied to Aircraft Structures
,”
Proceedings of 8th CIRP International Seminar on Computer Aided Tolerancing
, Charlotte, NC, April 28–29, pp.
100
105
.
23.
Marguet
,
B.
, and
Mathieu
,
L.
, 1998, “
Tolerancing Problems for Aircraft Industries
,”
Proceedings of CIRP International Seminar on Computer Aided Tolerancing, Geometric Design Tolerancing: Theories, Standards and Applications
, Toronto, Ontario, April 28–29,
H. A.
ElMaraghy
, ed.,
Chapman & Hall
, London, pp.
419
427
.
24.
Marguet
,
B.
, and
Mathieu
,
L.
, 1999, “
Aircraft Assembly Analysis Method Taking into Account Part Geometric Variations
,”
Global Consistency of Tolerances
,
F.
Van Houten
and
H.
Kals
, eds.,
Kluwer Academic
, Dordrecht, pp.
365
374
.
25.
Ody
,
R.
,
Burley
,
G.
,
Naing
,
S.
, and
Corbett
,
J.
, 2001, “
Geometric and Dimensioning Tolerances in Error Budgeting for Assembly-Centric Design of Aero-Structures
,”
Proceedings of the 7th CIRP International Seminar on Computer Aided Tolerancing
, ENS de Cachan, France, April 24–25, pp.
111
120
.
You do not currently have access to this content.