A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Optimal distribution of multimaterial composites for torsional beams
The problem pf the optimal design of an elastic bar under torsion is considered. The question is how to arrange materials within the cross-section to maximize the torsional rigidity of the bar. The equivalent formulation asks for the minimization of the total cost of the project which is the sum of the rigidity and the cost of material used, provided that the cost of each material is given. The problem is initially ill-posed, and must be relaxed by the introduction of multimaterial composites. The optimization algorithm for multimaterial composites is described and computational results for both perturbations and asymptotical cases are presented. It is noticed that the case for three or more composites undergoes a phenomenon very much like a phase transition when certain conditions are satisfied.
Optimal distribution of multimaterial composites for torsional beams
The problem pf the optimal design of an elastic bar under torsion is considered. The question is how to arrange materials within the cross-section to maximize the torsional rigidity of the bar. The equivalent formulation asks for the minimization of the total cost of the project which is the sum of the rigidity and the cost of material used, provided that the cost of each material is given. The problem is initially ill-posed, and must be relaxed by the introduction of multimaterial composites. The optimization algorithm for multimaterial composites is described and computational results for both perturbations and asymptotical cases are presented. It is noticed that the case for three or more composites undergoes a phenomenon very much like a phase transition when certain conditions are satisfied.
Optimal distribution of multimaterial composites for torsional beams
Die optimale Werkstoffverteilung von aus mehreren Materialien bestehenden Verbundstoffen für Torsionsstäbe
Burns, T. (author) / Cherkaev, A. (author)
Structural Optimization ; 13 ; 4-11
1997
8 Seiten, 7 Bilder, 2 Tabellen, 13 Quellen
Article (Journal)
English