GLOBAL CONVERGENCE OF THE STRESS RATIO METHOD FOR TRUSS SIZING

被引：6

作者：

SVANBERG, K

机构：

[1] Optimization and Systems Theory, Royal Institute of Technology, Stockholm

来源：

STRUCTURAL OPTIMIZATION | 1994年 / 8卷 / 01期

关键词：

D O I：

10.1007/BF01742935

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

It is proved that if the well-known stress ratio method is applied to a ''perturbed'' stress-constrained minimum weight problem for truss structures, then the generated sequence of iteration points always converges to a global optimum. The most interesting step in the proof is a transformation of the stress-constrained problem to an equivalent unconstrained problem in which a combination of weight and compliance should be minimized. After the transformation, the stress ratio method becomes in fact a 'successive linearization' method for solving this unconstrained problem.

引用

页码：60 / 68

页数：9

共 6 条

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[2]

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[3]

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[4]

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[5]

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[6]

Svanberg K., On the convexity and concavity of compliances, Struct. Optim., 7, pp. 42-46, (1994)

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