This paper expands previously developed assembly fixture fault diagnosis methodology (Ceglarek and Shi, 1996) by considering the impact of measurement noise on the diagnostic results. The proposed solution provides a new analytical tool to address the diagnosability issue during the assembly process design stage. An evaluation of fault diagnosis index as a function of noise, fixture geometry, and sensor location is presented. The index is derived from the general class of covariance matrices describing tooling faults. Simulation based on the real fixture is presented to illustrate the proposed method.

1.
Anderson, T. W., 1965, An Introduction to Multivariate Statistical Analysis, John Wiley and Sons, Inc., New York, NY.
2.
Ceglarek, D., 1994, Knowledge-Based Diagnosis for Automotive Body Assembly: Methodology and Implementation, Ph.D. Dissertation, Univ. of Michigan, Ann Arbor.
3.
Ceglarek
D.
,
Shi
J.
, and
Wu
S. M.
,
1994
, “
A Knowledge-based Diagnosis Approach for the Launch of the Auto-body Assembly Process
,”
ASME JOURNAL OF ENGINEERING FOR INDUSTRY
, Vol.
116
, No.
4
, pp.
491
499
.
4.
Ceglarek
D.
, and
Shi
J.
,
1995
, “
Dimensional Variation Reduction for Automotive Body Assembly
,”
Manufacturing Review
, Vol.
8
, No.
2
, pp.
139
154
.
5.
Ceglarek
D.
, and
Shi
J.
,
1996
, “
Fixture Failure Diagnosis for the Autobody Assembly Using Pattern Recognition
,”
ASME JOURNAL OF ENGINEERING FOR INDUSTRY
, Vol.
118
, No.
1
, pp.
55
66
.
6.
Char, B. W., Geddes, K. O., Gonnet, G. H., Leong, B. L., Monagan, M. B., and Watt, S. W., 1991, Maple V Library Reference Manual, Springer-Verlag, New York, NY.
7.
Chou
Y-C.
,
Chandru
V.
, and
Barash
M. M.
,
1989
, “
A Mathematical Approach to Automatic Configuration of Machining Fixtures: Analysis and Synthesis
,”
ASME JOURNAL OF ENGINEERING FOR INDUSTRY
, Vol.
111
, pp.
299
306
.
8.
Down, M. H., Lowe, V. W., and Daugherty, B. R., 1995, “Measurement System Analysis—Reference Manual,” The American Society for Quality Control (ASQC) and The Automotive Industry Action Group (AIAG).
9.
Grubbs
F. E.
,
1948
, “
On Estimating Precision of Measuring Instruments and Product Variability
,”
Journal of American Statistical Association
, Vol.
43
, pp.
243
264
.
10.
Hu
S.
, and
Wu
S. M.
,
1992
, “
Identifying Root Causes of Variation in Automobile Body Assembly Using Principal Component Analysis
,”
Trans. of NAMRI
, Vol.
20
, pp.
311
316
.
11.
Jolliffe, I. T., 1986, Principal Component Analysis, Springer-Verlag, New York, NY.
12.
Schwarz
S. A.
, and
Lu
S. C-Y.
,
1992
, “
Representation, Acquisition, and Manipulation of Probabilistic Attribute Values to Support Engineering Decision Making
,”
Trans. of NAMRI
, Vol.
20
, pp.
261
267
.
13.
Strang, G., 1988, Linear Algebra and its Application, Harcourt Brace Jovanovich, Inc., San Diego, CA.
14.
Thompson
W. A.
,
1963
, “
Precision of Simultaneous Measurement Procedures
,”
Journal of American Statistical Association
, Vol.
58
, pp.
474
479
.
15.
Tlusty
J.
, and
Andrews
G. C.
,
1983
, “
A Critical Review of Sensors for Unmanned Machining
,”
Annals of the CIRP
, Vol.
32
, pp.
563
572
.
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