Optimal layout of long-span truss-grids-I

George I.N. Rozvany, Kong Min Yep Kong Min, Roman Sandler

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

After reviewing briefly Prager's optimal-layout theory, the optimization of isolated trusses is considered, and then optimality criteria are derived for the minimum-weight layout of truss-grids. The theory is applied to simply supported circular truss-grids, whose radius does not exceed a certain limiting value. Longer spans and other boundary conditions will be considered in Part II of this study, in which weight comparisons for various solutions are also given. It will be shown that layout optimization for long-span systems results in most substantial savings. In all problems considered, the optimal solution is derived analytically and confirmed by three independent methods: namely, primal (variational) formulation, dual formulation and direct minimization of the cost with respect to some geometrical parameters of the layout. Although the problems discussed in this paper are formulated in the context of optimal plastic design, the solutions obtained are statically determinate and hence they are also valid in optimal elastic design for given permissible stresses.

Original languageEnglish
Pages (from-to)209-223
Number of pages15
JournalInternational Journal of Solids and Structures
Volume22
Issue number2
DOIs
Publication statusPublished - 1986

ASJC Scopus subject areas

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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