Layout Optimization in Structural Design

  • G. I. N. Rozvany
  • W. Gollub
  • M. Zhou
Chapter
Part of the NATO ASI Series book series (NSSE, volume 221)

Abstract

After reviewing some fundamental aspects of layout optimization, the lecture covers in detail two important techniques, viz. (a) iterative continuum-based optimality criteria (COC) methods for approximate layout optimization of large systems with a given grid of potential members and (b) the ‘layout theory’ developed by Prager and the first author for the exact optimization of the structural topology. This theory is based on the concepts of continuum-based optimality criteria (COC) and the ‘structural universe’ which is the union of all potential or ‘candidate’ members. Both ‘classical’ and ‘advanced’ layout theories are discussed: in the former, low density systems (e.g. trusses, grillages and cable nets) are considered, in which the effect of intersections on cost, stiffness and strength are neglected. Applications of advanced layout theory include ‘generalized’ plates (plates with a dense system of ribs) as well as perforated and composite systems. In comparing the results of iterative approximate and exact layout optimization on particular examples, a 12 digit agreement is found.

Keywords

Optimal Topology Perforated Plate Layout Problem Layout Optimization Solid Plate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer Science+Business Media Dordrecht 1992

Authors and Affiliations

  • G. I. N. Rozvany
    • 1
  • W. Gollub
    • 1
  • M. Zhou
    • 1
  1. 1.Essen UniversityEssenFederal Republic of Germany

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