OPTIMIZATION OF UNSPECIFIED GENERALIZED FORCES IN STRUCTURAL DESIGN.

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The Prager-Shield cost gradient method for optimal plastic design is applied to problems. A simple, one-dimensional example of the class of problems considered is a perfectly plastic propped cantilever, which is attached to an existing structure at end A but requires a new foundation with a cost phi (R) at end B where R is the reaction at B. Another elementary example is an elastic beam having some given load and, in addition, an unspecified force R which may be provided by some weight (ballast) having a cost phi (R). In both cases, the combined cost of the beam and the support or ballast is to be minimized.

Original languageEnglish
Pages (from-to)1143-1145
Number of pages3
JournalJournal of Applied Mechanics, Transactions ASME
Volume41 Ser E
Issue number4
Publication statusPublished - Dec 1974

Fingerprint

structural design
Structural design
costs
ballast
optimization
Costs
plastics
beams (supports)
Plastics
Gradient methods
gradients

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials

Cite this

OPTIMIZATION OF UNSPECIFIED GENERALIZED FORCES IN STRUCTURAL DESIGN. / Rozvany, G.

In: Journal of Applied Mechanics, Transactions ASME, Vol. 41 Ser E, No. 4, 12.1974, p. 1143-1145.

Research output: Contribution to journalArticle

@article{5d7dcaf0fcc5415db96ce2a45f4d6692,
title = "OPTIMIZATION OF UNSPECIFIED GENERALIZED FORCES IN STRUCTURAL DESIGN.",
abstract = "The Prager-Shield cost gradient method for optimal plastic design is applied to problems. A simple, one-dimensional example of the class of problems considered is a perfectly plastic propped cantilever, which is attached to an existing structure at end A but requires a new foundation with a cost phi (R) at end B where R is the reaction at B. Another elementary example is an elastic beam having some given load and, in addition, an unspecified force R which may be provided by some weight (ballast) having a cost phi (R). In both cases, the combined cost of the beam and the support or ballast is to be minimized.",
author = "G. Rozvany",
year = "1974",
month = "12",
language = "English",
volume = "41 Ser E",
pages = "1143--1145",
journal = "Journal of Applied Mechanics, Transactions ASME",
issn = "0021-8936",
publisher = "American Society of Mechanical Engineers(ASME)",
number = "4",

}

TY - JOUR

T1 - OPTIMIZATION OF UNSPECIFIED GENERALIZED FORCES IN STRUCTURAL DESIGN.

AU - Rozvany, G.

PY - 1974/12

Y1 - 1974/12

N2 - The Prager-Shield cost gradient method for optimal plastic design is applied to problems. A simple, one-dimensional example of the class of problems considered is a perfectly plastic propped cantilever, which is attached to an existing structure at end A but requires a new foundation with a cost phi (R) at end B where R is the reaction at B. Another elementary example is an elastic beam having some given load and, in addition, an unspecified force R which may be provided by some weight (ballast) having a cost phi (R). In both cases, the combined cost of the beam and the support or ballast is to be minimized.

AB - The Prager-Shield cost gradient method for optimal plastic design is applied to problems. A simple, one-dimensional example of the class of problems considered is a perfectly plastic propped cantilever, which is attached to an existing structure at end A but requires a new foundation with a cost phi (R) at end B where R is the reaction at B. Another elementary example is an elastic beam having some given load and, in addition, an unspecified force R which may be provided by some weight (ballast) having a cost phi (R). In both cases, the combined cost of the beam and the support or ballast is to be minimized.

UR - http://www.scopus.com/inward/record.url?scp=0016309791&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0016309791&partnerID=8YFLogxK

M3 - Article

VL - 41 Ser E

SP - 1143

EP - 1145

JO - Journal of Applied Mechanics, Transactions ASME

JF - Journal of Applied Mechanics, Transactions ASME

SN - 0021-8936

IS - 4

ER -