UNIFIED APPROACH TO STRUCTURAL WEIGHT MINIMIZATION

被引：21

作者：

FLEURY, C

机构：

[1] Aerospace Laboratory, University of Liège

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1979年 / 20卷 / 01期

关键词：

D O I：

10.1016/0045-7825(79)90056-2

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

It is shown that the two classical approaches to structural optimization have now reached a stage where they employ the same basic principles. Indeed, the well-known optimality criteria approach can be viewed as transforming the initial problem in a sequence of simple explicit problems in which the constraints are approximated from virtual work considerations. On the other hand, the mathematical programming approaches have progressively evoluated to a linearization method using the reciprocals of the design variables - this powerful method is proven here to be identical to a generalized optimality criteria approach. Finally, new efficient methods are proposed: (a) a hybrid optimality criterion based on first-order approximations of the most critical stress constraints and zeroth-order approximations of the others and (b) a mixed method which lies between a strict primal mathematical programming method and a pure optimality criteria (or linearization) approach. Simple numerical problems illustrate the concepts established in the paper. © 1979.

引用

页码：17 / 38

页数：22

共 43 条

[1] Pope, Schmit, Structural design applications of mathematical programming techniques, Agardograph, 149, (1971)
[2] Berke, Venkayya, Review of optimality criteria approaches to structural optimization, ASME Winter Annual Meeting, (1974)
[3] Gellatly, Berke, Gibson, The use of optimality criteria in automated structural design, WPAFB 3rd Conference on Matrix Methods in Structural Mechanics, (1971)
[4] Gallagher, Fully stressed design, Optimum Structural Design-Theory and Applications, 3, pp. 19-32, (1973)
[5] Razani, The behaviour of the fully stressed design of structures and its relationship to minimum weight design, AIAA Journal, 3, pp. 2262-2268, (1965)
[6] Kicher, Optimum design: minimum weight versus fully stressed, J. Struct. Div. ASCE, 92, pp. 265-279, (1966)
[7] Lansing, Dwyer, Emerton, Ranalli, Application of fully stressed design procedures to wing and empennage structures, Journal of Aircraft, 8, pp. 683-688, (1971)
[8] Barnett, Minimum weight design of beams for deflection, J. Eng. Mech. Div. ASCE, 87, pp. 75-109, (1961)
[9] Barnett, Herman, High performance structures, NASA-CR-1038, (1968)
[10] Berke, An efficient approach to the minimum weight design of deflection limited structures, AFFDL-TM-70-4-FDTR, (1970)

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