ON THE SOLID PLATE PARADOX IN STRUCTURAL OPTIMIZATION.

G. Rozvany, Niels Olhoff, Keng Tung Cheng, John E. Taylor

Research output: Contribution to journalArticle

51 Citations (Scopus)

Abstract

This paper discusses the minimum weight design of solid plastic plates subject to constraints on the highest and lowest allowable values of the plate thickness. It is shown that the maximum thickness constraint alone does not ensure a smooth global minimum weight solution because the least weight is furnished, in the limit, by a grillage-like continuum consisting of a dense system of ribs of infinitesimal spacing and uniform depth. The optimal layout of such continua has already been determined and is found to be the same for plastic limit design, elastic stress design, design for given compliance, and design for given fundamental frequency. Two refinements of the above layout theory are also considered in the current paper.

Original languageEnglish
Pages (from-to)1-32
Number of pages32
JournalJournal of Structural Mechanics
Volume10
Issue number1
Publication statusPublished - 1982

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Structural optimization
Structural Optimization
paradoxes
Paradox
optimization
layouts
Layout
Plastics
Continuum
plastic plates
continuums
Fundamental Frequency
Global Minimum
Compliance
Spacing
Lowest
Refinement
plastics
spacing
Design

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Rozvany, G., Olhoff, N., Cheng, K. T., & Taylor, J. E. (1982). ON THE SOLID PLATE PARADOX IN STRUCTURAL OPTIMIZATION. Journal of Structural Mechanics, 10(1), 1-32.

ON THE SOLID PLATE PARADOX IN STRUCTURAL OPTIMIZATION. / Rozvany, G.; Olhoff, Niels; Cheng, Keng Tung; Taylor, John E.

In: Journal of Structural Mechanics, Vol. 10, No. 1, 1982, p. 1-32.

Research output: Contribution to journalArticle

Rozvany, G, Olhoff, N, Cheng, KT & Taylor, JE 1982, 'ON THE SOLID PLATE PARADOX IN STRUCTURAL OPTIMIZATION.', Journal of Structural Mechanics, vol. 10, no. 1, pp. 1-32.
Rozvany, G. ; Olhoff, Niels ; Cheng, Keng Tung ; Taylor, John E. / ON THE SOLID PLATE PARADOX IN STRUCTURAL OPTIMIZATION. In: Journal of Structural Mechanics. 1982 ; Vol. 10, No. 1. pp. 1-32.
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