SEVERAL EXAMPLES OF APPLICATION OF NASH AND PARETO APPROACHES TO MULTIOBJECTIVE STRUCTURAL OPTIMIZATION WITH UNCERTAINTIES

被引：2

作者：

Banichuk, N. V. ^{[1
]}

Ragnedda, F. ^{[2
]}

Serra, M. ^{[3
]}

机构：

[1] A Yu Ishlinsky Inst Problems Mech, Moscow, Russia

[2] Dept Math & Informat, Cagliari, Italy

[3] Dept Civil & Environm Engn & Architecture, Cagliari, Italy

来源：

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES | 2014年 / 42卷 / 01期

关键词：

Multiobjective formulations; Structural optimization; Uncertainties;

D O I：

10.1080/15397734.2013.823828

中图分类号：

O3 [力学];

学科分类号：

070301 [无机化学];

摘要：

The study deals with the problems of optimal structural design with incomplete data concerning applied external loads. The max(guaranteed) approach, based on worst case scenario, is used to take into account these uncertainties. All considered problems are formulated as multiobjective optimization problems. Investigation of the problems of minimization or maximization of vector-criteria is performed analytically with the help of two principally different approaches: Nash-approach and Pareto-approach. Comparison of the procedures of analytical solutions shows the advantages and disadvantages of both approaches. In particular, it was shown that in some shape optimization problems Pareto- and Nash-fronts, containing all optimal solutions of multiobjective optimization problems, are coincident.

引用

页码：56 / 69

页数：14

共 6 条

[1]

[Anonymous], 1990, Multicriteria Optimization-Fundamentals and Motivation

[2]

Eschenauer H. A., 1986, NUMERICAL EXPT INVES

[3]

PARETO OPTIMA OF ISOSTATIC TRUSSES [J].