A chip layout problem is formulated as a new class of shape optimal design called a subdomain optimization, where the chips correspond to subdomains whose configuration and location are to be decided. Shape design sensitivity analysis for a perturbed subdomain is made based on the concept of material derivative and adjoint system. Introducing a suitable category of design velocity fields, the change of the configuration is adequately describable. Sensitivities and optimal positions of chips on a printed circuit board are obtained and their accuracy discussed.
Issue Section:
Technical Papers
1.
Barone
M. R.
Yang
R. J.
1988
, “Boundary Integral Equations for Recovery of Design Sensitivities in Shape Optimization
,” AIAA Journal
, Vol. 26
, No. 5
, pp. 589
–594
.2.
Cea, J., 1981, “Numerical methods of shape optimal design,” Optimization of Distributed Parameter Structures, Haug, E. J., and Cea, J., eds., Sijthoff Noordhoff, Alphen and den Rijn, Netherland, pp. 1049–1087.
3.
Choi
K. K.
Chang
K.-H.
1994
, “A Study of Design Velocity Field Computation for Shape Optimal Design
,” Finite Elements in Analysis and Design
, Vol. 15
, pp. 317
–341
.4.
Choi
K. K.
Haug
E. J.
1983
, “Shape Design Sensitivity Analysis of Elastic Structures
,” Journal of Structural Mechanics
, Vol. 11
, No. 2
, pp. 231
–269
.5.
Choi
J. H.
Kwak
B. M.
1988
, “Boundary Integral Equation Method for Shape Optimization of Elastic Structures
,” International Journal for Numerical Methods in Engineering
, Vol. 26
, pp. 1579
–1595
.6.
Choi
J. H.
Kwak
B. M.
1990
, “A Unified Approach for Adjoint and Direct Method in Shape Design Sensitivity Analysis Using Boundary Integral Formulation
,” Engineering Analysis with Boundary Elements
, Vol. 7
, No. 1
, pp. 39
–45
.1.
Dems
K.
Mroz
Z.
1984
, “Variational Approach by Means of Adjoint System to Structural Optimization and Sensitivity Analysis
,” International Journal of Solids and Structures
, Vol. 19
, pp. 677
–692
,2.
International Journal of Solids and Structures
, Vol. 20
, pp. 527
–552
.1.
Haug, E. J., Choi, K. K., and Komkov, V., 1986, Design Sensitivity Analysis of Structural Systems, Academic Press, New York.
2.
Keum
D. J.
Kwak
B. M.
1992
, “Calculation of Stress Intensity Factors by Sensitivity Analysis With Respect to Change of Boundary Conditions
,” Computers and Structures
, Vol. 44
, No. 1/2
, pp. 63
–69
.3.
Osterman
M. D.
1992
, “A Physics of Failure Approach to Component Placement
,” ASME JOURNAL OF ELECTRONIC PACKAGING
, Vol. 114
, pp. 305
–309
.4.
Praharaj
S.
Azarm
S.
1992
, “Two-Level Nonlinear Mixed Discrete-Continuous Optimization-Based Design: An Application to Printed Circuit Board Assemblies
,” ASME JOURNAL OF ELECTRONIC PACKAGING
, Vol. 114
, pp. 425
–435
.5.
Rajan
S. D.
Nagaraj
B.
Mahalingam
M.
1992
, “A Shape Optimal Design Methodology for Packaging Design
,” ASME JOURNAL OF ELECTRONIC PACKAGING
, Vol. 114
, pp. 461
–466
.6.
Son, J. H., and Kwak, B. M., 1993, “Optimization of Boundary Condition for Maximizing Fundamental Frequency of Vibrating Structures,” AIAA Journal, to be published.
7.
Zolesio, J.-P., 1981, “The Material Derivative Method for Shape Optimization,” Optimization of Distributed Parameter Structures, Haug, E. J., and Cea, J., eds., Sijthoff Noordhoff, Alphen aan den Rijn, Netherland, pp. 1089–1151.
This content is only available via PDF.
Copyright © 1995
by The American Society of Mechanical Engineers
You do not currently have access to this content.