Showing papers by "George I. N. Rozvany published in 1983"
TL;DR: In this paper, a systematic method for constructing plane Prager-structures for any system of vertical loads is outlined and illustrated with examples, where the sign of all member forces must be the same and the vertical location of all external loads is to be optimized.
59 citations
TL;DR: In this paper, the same method is extended to non-parallel forces and a procedure for determining plane Prager-structures for any vertical load system plus selfweight is presented.
34 citations
TL;DR: In this article, the Prager-Shield condition is used for determining optimal layouts with an upper limit on the member sizes, and the above extended theory is then applied to grillages and it is shown that both the primal problem and the dual problem (strain-field) furnish the same minimum cost.
Abstract: The Prager-Shield condition is used for determining optimal layouts with an upper limit on the member sizes. The above extended theory is then applied to grillages and it is shown that both the primal problem (stress-field) and the dual problem (strain-field) furnish the same minimum cost. It is also concluded that an upper constraint on the generalized stresses often results in impulse-like concentrations in the optimal strain-field. The above results complement recent work by Strang and Kohn.
15 citations