2 ALTERNATIVE WAYS FOR SOLVING THE COORDINATION PROBLEM IN MULTILEVEL OPTIMATION

被引：24

作者：

SOBIESZCZANSKISOBIESKI, J

机构：

[1] Chief Scientist, Structural Dynamics Division, Structures Directorate, MS242, NASA Langley Research Center, Hampton, 23681-0001, VA

来源：

STRUCTURAL OPTIMIZATION | 1993年 / 6卷 / 04期

关键词：

D O I：

10.1007/BF01743377

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The paper describes two new techniques for formulating the coupling between levels in multilevel optimization by linear decomposition, proposed as improvements over the original formulation, now several years old, that relied on explicit equality constraints which were shown by application experience as occasionally causing numerical difficulties. The two new techniques account for the coupling without using explicit equality constraints, thus avoiding the above difficulties and also reducing the computational cost of the procedure. The old and new formulations are presented in detail, illustrated by an example of a structural optimization. A generic version of the improved algorithm is also developed for applications to multidisciplinary systems not limited to structures.

引用

页码：205 / 215

页数：11

共 10 条

[1]

Barthelemy J.F., Sobieszczanski-Sobieski J., Optimum sensitivity derivatives of objective functions in nonlinear programing, AIAA J., 22, pp. 913-915, (1983)

[2]

Kreisselmeier G., Steinhauser R., Application of vector performance optimization to a robust control loop design for a fighter aircraft, International Journal of Control, 37, pp. 251-284, (1983)

[3]

Schmit L.A., Ramanathan R.K., Multilevel approach to minimum weight design including buckling constraints, AIAA J., 16, pp. 97-104, (1973)

[4]

Sobieszczanski-Sobieski J., A technique for locating function roots and satisfying equality constraints in optimization, Structural Optimization, 4, pp. 241-243, (1992)

[5]

Sobieszczanski-Sobieski J., Barthelemy J.F., Riley K.M., Sensitivity of optimum solutions to problem parameters, AIAA J., 21, pp. 1291-1299, (1982)

[6]

Sobieszczanski-Sobieski J., James B.B., Dovi A.R., Structural optimization by multilevel decomposition, AIAA J., 23, pp. 1775-1782, (1985)

[7]

Sobieszczanski-Sobieski J., James B.B., Riley M.F., Structural sizing by generalized, multilevel optimization, AIAA J., 25, (1987)

[8]

Timoshenko S., Theory of elastic stability, (1936)

[9]

Vanderplaats G.N., An efficient feasible directions algorithm for design synthesis, AIAA J., 22, pp. 1633-1640, (1984)

[10]

Wrenn G.A., Dovi A.R., Multilevel decomposition approach to the preliminary sizing of a transport aircraft wing, AIAA J. of Aircraft, 25, pp. 632-638, (1988)

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