Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
On Some Properties of Optimum Structural Topologies
Abstract Toplogical design, where the member connectivity is sought in addition to member sizing, is perhaps the most challenging of the structural optimization tasks. Due to the basic difficulties involved in the solution process, various simplifications and approximations are often considered. The present article introduces some typical characteristics and properties of the problem. The topology of discrete structures is optimized by assuming zero lower bounds on cross-sections. It is shown that the optimal topology might correspond to a singular solution even for simple structures. Assuming the force method analysis formulation, the problem can be stated in a linear programming form under certain assumptions. It is then possible to derive analytically some conditions related to optimal topologies. In addition, the difficulty of singular optimal solutions is eliminated. The effect of compatibility conditions on optimal topologies is studied. It is shown that for particular geometries or loading conditions, where some element forces change from tension to compression or vice versa, the optimal topology might represent an unstable structure. Analytical conditions are derived to obtain geometries of multiple optimal topologies. It is shown how new optimal topologies are introduced from existing basic optimal topologies by combination rather than the common approach of elimination.
On Some Properties of Optimum Structural Topologies
Abstract Toplogical design, where the member connectivity is sought in addition to member sizing, is perhaps the most challenging of the structural optimization tasks. Due to the basic difficulties involved in the solution process, various simplifications and approximations are often considered. The present article introduces some typical characteristics and properties of the problem. The topology of discrete structures is optimized by assuming zero lower bounds on cross-sections. It is shown that the optimal topology might correspond to a singular solution even for simple structures. Assuming the force method analysis formulation, the problem can be stated in a linear programming form under certain assumptions. It is then possible to derive analytically some conditions related to optimal topologies. In addition, the difficulty of singular optimal solutions is eliminated. The effect of compatibility conditions on optimal topologies is studied. It is shown that for particular geometries or loading conditions, where some element forces change from tension to compression or vice versa, the optimal topology might represent an unstable structure. Analytical conditions are derived to obtain geometries of multiple optimal topologies. It is shown how new optimal topologies are introduced from existing basic optimal topologies by combination rather than the common approach of elimination.
On Some Properties of Optimum Structural Topologies
Kirsch, U. (Autor:in)
01.01.1992
21 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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