Optimal Topologies in Case of Probabilistic Loading: The Influence of Load Correlation

被引：53

作者：

Logo, Janos ^{[1
]}

Ghaemi, Mohsen ^{[1
]}

Rad, Majid Movahedi ^{[1
]}

机构：

[1] Budapest Univ Technol & Econ, Dept Struct Mech, H-1117 Budapest, Hungary

来源：

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES | 2009年 / 37卷 / 03期

关键词：

Compliance; Joint distribution; Optimal design; Optimality criteria; Probability; Stochastic programming; Topology optimization; OPTIMIZATION; DESIGN; UNCERTAINTY;

D O I：

10.1080/15397730902936328

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In the proposed probabilistic topology optimization method, the minimum penalized weight design of the structure is subjected to probabilistic compliance and side constraints. The calculation of the compliance value is based on the assumption that the magnitude of the loads has uncertainties so that their joint normal distribution functions, mean values, and covariances are known and a minimum probability value is given. Applying an appropriate approximation, the original problem is replaced by a deterministic one. By the use of the optimality conditions, an updated iterative design formulation is presented. Several new topology design problems are calculated with randomly given loads.

引用

页码：327 / 348

页数：22

共 24 条

[11] New type of optimal topologies by iterative method [J].

Lógó, J .

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2005, 33 (02) :149-171

[12]

LOGO J, 2007, 7 WORLD C STRUCT MUL

[13]

LOGO J, 2008, P 8 WORLD C COMP MEC

[14] Stochastic compliance constrained topology optimization based on optimality critera method [J].

Logo, Janos ;

Ghaemi, Mohsen ;

Vasarhelyi, Anna .

PERIODICA POLYTECHNICA-CIVIL ENGINEERING, 2007, 51 (02) :5-10

[15] Computation of probabilities of survival/failure of technical, economic systems/structures by means of piecewise linearization of the performance function [J].

Marti, K. .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2008, 35 (03) :225-244

[16]

Marti K, 2007, CIVIL ENGINEERING COMPUTATIONS: TOOLS AND TECHNIQUES, P173

[17] Stochastic linear programming methods in limit load analysis and optimal plastic design under stochastic uncertainty [J].

Marti, K ;

Stoeckl, G .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2004, 84 (10-11) :666-677

[18]

Marti K, 1999, SAFETY AND RELIABILITY, VOLS 1 & 2, P1597

[19]

Marti K., 2007, GAMM-Mitteilungen, V30, P211

[20]

Marti K., 2000, Numerical Methods of Uncertainties", Proceedings EUROMECH 405 Colloquium, P55

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