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A platform for research: civil engineering, architecture and urbanism
Layout Optimization in Structural Design
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.
Layout Optimization in Structural Design
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.
Layout Optimization in Structural Design
Rozvany, G. I. N. (author) / Gollub, W. (author) / Zhou, M. (author)
1992-01-01
48 pages
Article/Chapter (Book)
Electronic Resource
English
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