Showing papers by "George I. N. Rozvany published in 2012"
TL;DR: In this paper, the optimal topology of bi-symmetric trusses with two symmetrically placed pointloads is determined analytically, and verified by highly accurate numerical calculations.
Abstract: Extending some results by Sokol and Lewinski (Struct Multidisc Optim 42:835---853, 2010), the optimal topology of bi-symmetric trusses with two symmetrically placed pointloads is determined analytically, and verified by highly accurate numerical calculations. It is rather remarkable that Michell's best-known classical solution had to wait over hundred years for its generalization from one to two point loads. Some implications of these solutions, including properties of so-called O-regions, are also discussed.
28 citations
TL;DR: In this paper, the authors introduce a theory of Michell trusses taking support (reaction) costs into consideration, which is illustrated with a modified version of the best known example, and eight other variations on this example are presented, with equal or unequal permissible stresses in tension and compression.
Abstract: The aim of this paper is twofold. It introduces a theory of Michell trusses taking support (reaction) costs into consideration, which is illustrated with a modified version of Michell's best known example. Then eight other variations on this example are presented, with (i) equal or unequal permissible stresses in tension and compression, (ii) the structural domain consisting of a half-plane or a full plane, and (iii) the supports being two pins, or a pin and a roller. Previously noted shortcomings of Michell's theory are highlighted and several fundamental properties of non-selfadjoint topology optimization problems discussed. The analytical solutions are verified to a high degree of accuracy by numerical results.
25 citations