Analysis of optimized plates for buckling

R. Levy, A. Ganz

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

This paper is concerned with the analysis of optimized plates for buckling. The Rayleigh-Ritz technique is used to solve variable thickness rectangular plates. A double sine series is used to represent the lateral displacements and convergence is attained for a six term series. The result yields a buckling load which is 44% higher than that of a uniform thickness plate having the same volume. The plate itself was optimized using variational calculus to obtain the optimality condition which states that the thickness is proportional to the strain energy density and a truncated Fourier series solution (one term) was used to obtain an optimal shape having a critical load 112% higher than the uniform thickness plate.

Original languageEnglish
Title of host publicationProc Fourth Int Conf Civ Struct Eng Comput CIVIL COMP 89
EditorsBarry Topping
PublisherPubl by Civil-Comp Limited
Pages167-174
Number of pages8
ISBN (Print)0948749105
StatePublished - 1 Dec 1989
Externally publishedYes
EventProceedings of the Fourth International Conference on Civil and Structural Engineering Computing - CIVIL-COMP 89 - London, Engl
Duration: 19 Sep 198921 Sep 1989

Publication series

NameProc Fourth Int Conf Civ Struct Eng Comput CIVIL COMP 89

Conference

ConferenceProceedings of the Fourth International Conference on Civil and Structural Engineering Computing - CIVIL-COMP 89
CityLondon, Engl
Period19/09/8921/09/89

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