Graph Theoretical Topology Control in Structural Optimization of Frames with Bracing Systems
نویسندگان
1 Department of Civil and Environmental Engineering,Amirkabir University of Technology
2 Department of Civil Engineering,Amirkabir University of Technology
3 Department of Civil Engineering,University of Tehran
4 Department of Civil Engineering,Amirkabir University of Technology
doi
چکیده
Abstract. Many topological objectives and constraints can not easily be assessed by analytical formulations. This paper introduces a number of graph theoretical operators, as suitable combinatorial tools, for discrete topology assessment. Using such an approach, the load paths from their exertion points to the support joints can be guided topologically during the optimization process. Eleven variants of the proposed method are developed for the inclusion of various constraints and/or objectives. The presented algorithms are then applied to the optimal bracing layout of multi-story frames under lateral loadings for minimal weight or static compliance. Benchmark examples from literature are treated to validate the eciency and to compare the capability of the proposed algorithms. The bracing patterns obtained from optimization are graph theoretically categorized.
