Optimization for buckling with exact geometries

R. Levy

doi:10.1016/0045-7949(94)90161-9

Optimization for buckling with exact geometries

R. Levy

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

This paper is concerned with the structural optimization problem of minimizing the weight of a two-bar truss subject to nonlinear stability constraints to result in a degree of complexity beyond that which is expected for problems of this size. Optimization problems for stability constraints are commonly handled as generalized eigenvalue problems with the resulting designs overestimating true buckling loads by factors of up to 7.55. This paper presents an exact formulation that includes conditions for instability and optimality conditions in addition to optimal designs for symmetric cases and nonsymmetric cases using nonlinear programming. Multimember trusses are further considered and an exact displacement method of analysis developed.

Original language	English
Pages (from-to)	1139-1144
Number of pages	6
Journal	Computers and Structures
Volume	53
Issue number	5
DOIs	https://doi.org/10.1016/0045-7949(94)90161-9
State	Published - 3 Dec 1994
Externally published	Yes

ASJC Scopus subject areas

Civil and Structural Engineering
Modeling and Simulation
General Materials Science
Mechanical Engineering
Computer Science Applications

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abstract = "This paper is concerned with the structural optimization problem of minimizing the weight of a two-bar truss subject to nonlinear stability constraints to result in a degree of complexity beyond that which is expected for problems of this size. Optimization problems for stability constraints are commonly handled as generalized eigenvalue problems with the resulting designs overestimating true buckling loads by factors of up to 7.55. This paper presents an exact formulation that includes conditions for instability and optimality conditions in addition to optimal designs for symmetric cases and nonsymmetric cases using nonlinear programming. Multimember trusses are further considered and an exact displacement method of analysis developed.",

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AB - This paper is concerned with the structural optimization problem of minimizing the weight of a two-bar truss subject to nonlinear stability constraints to result in a degree of complexity beyond that which is expected for problems of this size. Optimization problems for stability constraints are commonly handled as generalized eigenvalue problems with the resulting designs overestimating true buckling loads by factors of up to 7.55. This paper presents an exact formulation that includes conditions for instability and optimality conditions in addition to optimal designs for symmetric cases and nonsymmetric cases using nonlinear programming. Multimember trusses are further considered and an exact displacement method of analysis developed.

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Optimization for buckling with exact geometries

Abstract

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