Analysis of optimized plates for buckling

R. Levy; A. Ganz

Analysis of optimized plates for buckling

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-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 language	English
Title of host publication	Proc Fourth Int Conf Civ Struct Eng Comput CIVIL COMP 89
Editors	Barry Topping
Publisher	Publ by Civil-Comp Limited
Pages	167-174
Number of pages	8
ISBN (Print)	0948749105
State	Published - 1 Dec 1989
Externally published	Yes
Event	Proceedings of the Fourth International Conference on Civil and Structural Engineering Computing - CIVIL-COMP 89 - London, Engl Duration: 19 Sep 1989 → 21 Sep 1989

Publication series

Name	Proc Fourth Int Conf Civ Struct Eng Comput CIVIL COMP 89

Conference

Conference	Proceedings of the Fourth International Conference on Civil and Structural Engineering Computing - CIVIL-COMP 89
City	London, Engl
Period	19/09/89 → 21/09/89

ASJC Scopus subject areas

Engineering (all)

Cite this

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title = "Analysis of optimized plates for buckling",

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.",

author = "R. Levy and A. Ganz",

year = "1989",

month = dec,

day = "1",

language = "English",

isbn = "0948749105",

series = "Proc Fourth Int Conf Civ Struct Eng Comput CIVIL COMP 89",

publisher = "Publ by Civil-Comp Limited",

pages = "167--174",

editor = "Barry Topping",

booktitle = "Proc Fourth Int Conf Civ Struct Eng Comput CIVIL COMP 89",

note = "Proceedings of the Fourth International Conference on Civil and Structural Engineering Computing - CIVIL-COMP 89 ; Conference date: 19-09-1989 Through 21-09-1989",

}

Levy, R & Ganz, A 1989, Analysis of optimized plates for buckling. in B Topping (ed.), Proc Fourth Int Conf Civ Struct Eng Comput CIVIL COMP 89. Proc Fourth Int Conf Civ Struct Eng Comput CIVIL COMP 89, Publ by Civil-Comp Limited, pp. 167-174, Proceedings of the Fourth International Conference on Civil and Structural Engineering Computing - CIVIL-COMP 89, London, Engl, 19/09/89.

TY - GEN

T1 - Analysis of optimized plates for buckling

AU - Levy, R.

AU - Ganz, A.

PY - 1989/12/1

Y1 - 1989/12/1

N2 - 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.

AB - 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.

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M3 - Conference contribution

AN - SCOPUS:0024896624

SN - 0948749105

T3 - Proc Fourth Int Conf Civ Struct Eng Comput CIVIL COMP 89

SP - 167

EP - 174

BT - Proc Fourth Int Conf Civ Struct Eng Comput CIVIL COMP 89

A2 - Topping, Barry

PB - Publ by Civil-Comp Limited

T2 - Proceedings of the Fourth International Conference on Civil and Structural Engineering Computing - CIVIL-COMP 89

Y2 - 19 September 1989 through 21 September 1989

ER -

Analysis of optimized plates for buckling

Abstract

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Conference

ASJC Scopus subject areas

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