A study of mathematical programming methods for structural optimization. Part I: Theory

Ashok D. Belegundu, Jasbir S. Arora

    Research output: Contribution to journalArticle

    108 Citations (Scopus)

    Abstract

    A comprehensive study of various mathematical programming methods for structural optimization is presented. In recent years, many modern optimization techniques and convergence results have been developed in the field of mathematical programming. The aim of this paper is twofold: (a) to discuss the applicability of modern optimization techniques to structural design problems, and (b) to present mathematical programming methods from a unified and design engineers' viewpoint. Theoretical aspects are considered here, while numerical results of test problems are discussed in a companion paper. Special features possessed by structural optimization problems, together with recent developments in mathematical programming (recursive quadratic programming methods, global convergence theory), have formed a basis for conducting the study. Some improvements of existing methods are noted and areas for future investigation are discussed.

    Original languageEnglish (US)
    Pages (from-to)1583-1599
    Number of pages17
    JournalInternational Journal for Numerical Methods in Engineering
    Volume21
    Issue number9
    DOIs
    StatePublished - Jan 1 1985

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    Structural optimization
    Structural Optimization
    Mathematical programming
    Mathematical Programming
    Optimization Techniques
    Convergence Theory
    Structural Design
    Quadratic programming
    Quadratic Programming
    Structural design
    Global Convergence
    Convergence Results
    Test Problems
    Optimization Problem
    Engineers
    Numerical Results

    All Science Journal Classification (ASJC) codes

    • Numerical Analysis
    • Engineering(all)
    • Applied Mathematics

    Cite this

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    abstract = "A comprehensive study of various mathematical programming methods for structural optimization is presented. In recent years, many modern optimization techniques and convergence results have been developed in the field of mathematical programming. The aim of this paper is twofold: (a) to discuss the applicability of modern optimization techniques to structural design problems, and (b) to present mathematical programming methods from a unified and design engineers' viewpoint. Theoretical aspects are considered here, while numerical results of test problems are discussed in a companion paper. Special features possessed by structural optimization problems, together with recent developments in mathematical programming (recursive quadratic programming methods, global convergence theory), have formed a basis for conducting the study. Some improvements of existing methods are noted and areas for future investigation are discussed.",
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    A study of mathematical programming methods for structural optimization. Part I : Theory. / Belegundu, Ashok D.; Arora, Jasbir S.

    In: International Journal for Numerical Methods in Engineering, Vol. 21, No. 9, 01.01.1985, p. 1583-1599.

    Research output: Contribution to journalArticle

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