DCOC - AN OPTIMALITY CRITERIA METHOD FOR LARGE SYSTEMS .2. ALGORITHM

被引:52
作者
ZHOU, M
ROZVANY, GIN
机构
[1] FB 10, Essen University, Essen, D-45117
来源
STRUCTURAL OPTIMIZATION | 1993年 / 6卷 / 04期
关键词
D O I
10.1007/BF01743384
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The theoretical basis for a new optimality criteria method (DCOC) was presented in Part I of this study (Zhou and Rozvany 1992). It was shown in that paper that a considerable gain in efficiency can be achieved by the proposed method, since the Lagrangian multipliers associated with stress constraints can be, in general, evaluated explicitly and hence the size of the dual-type problem is greatly reduced. The superior efficiency of the proposed method, for problems involving a large number of active stress constraints, was also demonstrated through simple numerical examples. In Part II, the computational algorithm of DCOC is presented in detail and several standard test examples are used for verifying the correctness and efficiency of the proposed method.
引用
收藏
页码:250 / 262
页数:13
相关论文
共 8 条
[1]  
Berke L., Khot N.S., Use of optimality criteria methods for large scale systems, Structural optimization, AGARD Lecture Series, 70, pp. 1-29, (1974)
[2]  
Fleury C., A unified approach to structural weight minimization, Comp. Meth. Appl. Mech. Engrg., 14, pp. 1761-1783, (1979)
[3]  
Fleury C., Reconciliation of mathematical programming and optimality criteria methods, Foundations of structural optimization: a unified approach, pp. 363-404, (1982)
[4]  
Fleury C., Schmit L.A., Structural synthesis by combining approximation concepts and dual methods, AIAA J., 18, pp. 1252-1260, (1980)
[5]  
Gill P.E., Murray W., Newton-type methods for unconstrained and linearly constrained optimization, Mathematical Programming, 7, pp. 311-350, (1974)
[6]  
Haftka R.T., Gurdal Z., Kamat K.P., Elements of structural optimization, (1990)
[7]  
Khot N.S., Algorithms based on optimality criteria to design minimum weight structures, Eng. Opt., 5, pp. 73-90, (1981)
[8]  
Zhou M., Rozvany G.I.N., DCOC: an optimality criteria method for large systems, Part I: theory, Struct. Optim., 5, pp. 12-25, (1992)