Abstract

Clamping force and shimming are two important compensation processes in the composite assembly. Their effects on variation propagation should be investigated in tolerance analysis. The paper presents a tolerance analysis method for composites assembly based on the T-Maps method, mainly concerning the anisotropic variations accumulation and propagation where there is the clamping force modification and the shimming. Variations of the composite parts in different directions are represented by the T-Maps. Since the different axial deviations are represented in the same Euclidean point-space, the T-Maps-based tolerance analysis of the composite parts assembly provides more accurate and reliable results. Compensation processes, the clamping force, and the shimming, on assembly tolerance synthesis of the composite parts, are analyzed clearly in the T-Map. This procedure is found to be effective for the anisotropy-oriented assembly tolerance analysis, especially concerning about effect of the clamping force and the shimming on variations accumulation and propagation. The assembly of an aircraft composite elevator is considered to demonstrate the effectiveness of the T-Maps-based method. The procedures outlined in the paper are quite general and can be used for assembly tolerance analysis of anisotropic parts.

References

1.
Polini
,
W.
,
Marrocu
,
M.
, and
D'Ambrosio
,
L.
,
2007
, “
Tolerance Analysis of Free-Form Surfaces in Composite Material
,”
ASME J. Comput. Inf. Sci. Eng.
,
7
(
1
), pp.
31
43
.
2.
Jareteg
,
C.
,
Wärmefjord
,
K.
,
Söderberg
,
R.
,
Lindkvist
,
L.
,
Carlson
,
J.
,
Cromvik
,
C.
, and
Edelvik
,
F.
,
2014
, “
Variation Simulation for Composite Parts and Assemblies Including Variation in Fiber Orientation and Thickness
,”
Procedia CIRP
,
23
, pp.
235
240
.
3.
Söderberg
,
R.
,
Wärmefjord
,
K.
, and
Lindkvist
,
L.
,
2015
, “
Variation Simulation of Stress During Assembly of Composite Parts
,”
CIRP Ann. Manuf. Technol.
,
64
(
1
), pp.
17
20
.
4.
Wang
,
H.
, and
Liu
,
J.
,
2016
, “
Tolerance Simulation of Composite Wingbox Assembly Considering Preloading-Modified Distribution
,”
Assem. Autom.
,
36
(
3
), pp.
224
232
.
5.
Wang
,
H.
, and
Si
,
S.
,
2014
, “
A FEA Simulation Model for Thin-Walled C-Section Composite Beam Assembling With R Angle Deviation
,”
Proceedings of the ASME 2014 International Mechanical Engineering Congress & Exposition (IMECE2014)
,
Montreal, Quebec, Canada
,
Nov. 14–20
, p. V02AT02A043.
6.
Wang
,
H.
,
Zhang
,
S.
, and
Yu
,
J.
,
2018
, “
Computer Aided Tolerancing of Composite Elevator Assembly Involving Clamping Forces Coordination
,”
Procedia CIRP
,
75
, pp.
256
260
.
7.
Wang
,
H.
,
2016
, “
Investigation on the Effect of Spring-In Distortion on Strength of Bimaterial Beam
,”
J. Aerosp. Eng.
,
29
(
3
), p.
04015069
.
8.
Wang
,
H.
,
2018
, “
Effect of Spring-In Deviation on Fatigue Life of Composite Elevator Assembly
,”
Appl. Compos. Mater.
,
25
(
6
), pp.
1357
1367
.
9.
Wang
,
H.
,
Zhou
,
M.
, and
Liu
,
B.
,
2018
, “
Tolerance Allocation With Simulation-Based Digital Twin for CFRP-Metal Countersunk Bolt Joint
,”
Proceedings of the ASME 2018 International Mechanical Engineering Congress and Exposition
,
Pittsburgh, PA, USA
, pp.
2018
86645
.
10.
Steinle
,
P.
, and
Bohn
,
M.
,
2013
, “
Dimensional Stability and Variance of Carbon Fiber Reinforced Plastics–Current State and Necessary Future Developments
,”
Procedia CIRP
,
10
, pp.
283
286
.
11.
Kappel
,
E.
,
Stefaniak
,
D.
, and
Hühne
,
C.
,
2013
, “
Process Distortions in Prepreg Manufacturing–An Experimental Study on CFRP L-Profiles
,”
Compos. Struct.
,
106
, pp.
615
625
.
12.
Wucher
,
B.
,
Lani
,
F.
,
Pardoen
,
T.
,
Bailly
,
C.
, and
Martiny
,
P.
,
2014
, “
Tooling Geometry Optimization for Compensation of Cure-Induced Distortions of a Curved Carbon/Epoxy C-Spar
,”
Compos. A: Appl. Sci. Manuf.
,
56
, pp.
27
35
.
13.
Corrado
,
A.
,
Polini
,
W.
,
Sorrentino
,
L.
, and
Bellini
,
C.
,
2018
, “
Evaluation of the Spring-In of CFRP Thin Laminates in Dependence on Process Variation
,”
Procedia CIRP
,
75
, pp.
415
420
.
14.
Davidson
,
J.
,
Mujezinovic
,
A.
, and
Shah
,
J.
,
2002
, “
A New Mathematical Model for Geometric Tolerances as Applied to Round Faces
,”
ASME J. Mech. Des.
,
124
(
4
), pp.
609
622
.
15.
Mujezinovic
,
A.
,
Davidson
,
J.
, and
Shah
,
J.
,
2004
, “
A New Mathematical Model for Geometric Tolerances as Applied to Polygonal Faces
,”
ASME J. Mech. Des.
,
126
(
3
), pp.
504
518
.
16.
Chitale
,
A.
,
Kalish
,
N. J.
,
Davidson
,
J. K.
, and
Shah
,
J. J.
,
2018
, “
Generating T-Maps With the Kinematic Transformation to Model Manufacturing Variations of Parts With Position Tolerancing of Cylinders
,”
Procedia CIRP
,
75
, pp.
214
219
.
17.
Ameta
,
G.
,
Davidson
,
J. K.
, and
Shah
,
J. J.
,
2018
, “
Statistical Tolerance Analysis With T-Maps for Assemblies
,”
Procedia CIRP
,
75
, pp.
220
225
.
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