Generalized Michell structures - exact least-weight truss layouts for combined stress and displacement constraints

Part I - General theory for plane trusses

G. Rozvany, T. Birker

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

In Part I of this study, earlier results are briefly reviewed and then general optimality criteria derived for exact leastweight plane truss layouts with combined stress and displacement constraints. Whilst these are necessary conditions for a local minimum with respect to any topology, Part II discusses analytical solutions within a given two-bar topology for a vertical support and a point load. The latter results are used for verifying the general theory in Part I.

Original languageEnglish
Pages (from-to)178-188
Number of pages11
JournalStructural Optimization
Volume9
Issue number3-4
DOIs
Publication statusPublished - Jul 1995

Fingerprint

Trusses
Layout
Topology
Optimality Criteria
Local Minima
Analytical Solution
Vertical
Necessary Conditions

ASJC Scopus subject areas

  • Civil and Structural Engineering

Cite this

@article{74715a3c16dc4318883152df0c81aef0,
title = "Generalized Michell structures - exact least-weight truss layouts for combined stress and displacement constraints: Part I - General theory for plane trusses",
abstract = "In Part I of this study, earlier results are briefly reviewed and then general optimality criteria derived for exact leastweight plane truss layouts with combined stress and displacement constraints. Whilst these are necessary conditions for a local minimum with respect to any topology, Part II discusses analytical solutions within a given two-bar topology for a vertical support and a point load. The latter results are used for verifying the general theory in Part I.",
author = "G. Rozvany and T. Birker",
year = "1995",
month = "7",
doi = "10.1007/BF01743967",
language = "English",
volume = "9",
pages = "178--188",
journal = "Structural and Multidisciplinary Optimization",
issn = "1615-147X",
publisher = "Springer Verlag",
number = "3-4",

}

TY - JOUR

T1 - Generalized Michell structures - exact least-weight truss layouts for combined stress and displacement constraints

T2 - Part I - General theory for plane trusses

AU - Rozvany, G.

AU - Birker, T.

PY - 1995/7

Y1 - 1995/7

N2 - In Part I of this study, earlier results are briefly reviewed and then general optimality criteria derived for exact leastweight plane truss layouts with combined stress and displacement constraints. Whilst these are necessary conditions for a local minimum with respect to any topology, Part II discusses analytical solutions within a given two-bar topology for a vertical support and a point load. The latter results are used for verifying the general theory in Part I.

AB - In Part I of this study, earlier results are briefly reviewed and then general optimality criteria derived for exact leastweight plane truss layouts with combined stress and displacement constraints. Whilst these are necessary conditions for a local minimum with respect to any topology, Part II discusses analytical solutions within a given two-bar topology for a vertical support and a point load. The latter results are used for verifying the general theory in Part I.

UR - http://www.scopus.com/inward/record.url?scp=0029341351&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029341351&partnerID=8YFLogxK

U2 - 10.1007/BF01743967

DO - 10.1007/BF01743967

M3 - Article

VL - 9

SP - 178

EP - 188

JO - Structural and Multidisciplinary Optimization

JF - Structural and Multidisciplinary Optimization

SN - 1615-147X

IS - 3-4

ER -