This technical note presents a global sensitivity analysis method for the dynamic response of electronic systems considering several design parameters at the same time. The method is an extension of a previous method presented by the authors for the one-dimensional case (only one design variable at a time was considered subjected to uncertainty). The method is expected to be useful in the design, analysis and qualification of electronic components.

1.
Abramowitz, M., and Stegun, I. A., 1964, Handbook of Mathematical Functions, Dover Publications, Inc., New York, N.Y.
2.
Barthelemy
J. F. M.
, and
Haftka
R. T.
,
1993
, “
Approximation Concepts for Optimum Structural Design—A Review
,”
Structural Optimization
, Vol.
5
, pp.
129
144
.
3.
Beck, J. L., and Katafygiotis, L., 1991, “Updating a Model and Its Uncertainties Utilizing Dynamic Test Data,” Computational Stochastic Mechanics, P. D. Spanos and C. A. Brebbia, eds., Elsevier Science Publisher, New York, pp. 125–136.
4.
Branstetter, L., and Paez, T., 1986, “Dynamic Response of Random Parametered Structural with Random Excitation,” Report SAND85-1175, Sandia National Laboratories, Albuquerque, New Mexico.
5.
Hein
T. D.
, and
Kleiber
M.
,
1991
, “
Stochastic Design Sensitivity in Structural Dynamics
,”
International Journal for Numerical Methods in Engineering
, Vol.
32
, pp.
1247
1265
.
6.
Iwan
W. D.
, and
Jensen
H.
,
1993
, “
On the Dynamic Response of Continuous Systems Including Model Uncertainty
,”
Journal of Applied Mechanics
, Vol.
60
, No.
2
, pp.
484
490
.
7.
Jaynes, J. M., 1973, A Treatise on Probability, The Royal Economic Society, Cambridge University Press.
8.
Jensen
H.
, and
Cifuentes
A.
,
1995
, “
A Global Sensitivity Approach for the Dynamic Response of Printed Wiring Boards
,”
ASME JOURNAL OF ELECTRONIC PACKAGING
, Vol.
117
, pp.
7
13
.
9.
Jensen, H., 1996, “A Global Design Sensitivity Analysis in Structural Dynamics,” Proceedings, Eleventh World Conference on Earthquake Engineering, Acapulco, Mexico, pp. 749–750.
10.
Lawrence
M. A.
,
1987
, “
Basis Random Variable in Finite Element Analysis
,”
International Journal of Numerical Methods in Engineering
, Vol.
24
, pp.
1849
1863
.
11.
Liu
W. K.
,
Besterfield
G. H.
, and
Belytschko
T.
,
1988
, “
Variational Approach to Probabilistic Finite Elements
,”
Journal of Engineering Mechanics
, Vol.
114
, pp.
2115
2133
.
12.
Meirovitch, L., 1986, Elements of Vibration Analysis, McGraw-Hill Book Company, New York.
13.
Rinderle
J. R.
, and
Suh
N. P.
,
1989
, “
Measures of Functional Coupling in Design
,”
Journal of Engineering for Industry
, Vol.
104
, pp.
383
388
.
14.
Shinozuka
M.
,
1972
, “
Monte Carlo Solution of Structural Dynamics
,”
Computers and Structures
, Vol.
2
, pp.
855
874
.
15.
Soong
T. D.
, and
Cozzarelli
F. A.
,
1976
, “
Vibration of Disordered Structural Systems
,”
Shock and Vibration Digest
, Vol.
8
, pp.
21
35
.
This content is only available via PDF.
You do not currently have access to this content.