Mathematical and Metaheuristic Applications in Design Optimization of Steel Frame Structures: An Extensive Review
By Mehmet Polat Saka, Zong Woo Geem. 2013
111 citations recorded by the source corpus.
The type of mathematical modeling selected for the optimum design problems of steel skeletal frames affects the size and mathematical complexity of the programming problem obtained. Survey on the structural optimization literature reveals that there are basically two types of design optimization formulation. In the first type only cross sectional properties of frame members are taken as design variables. In such formulation when the values of design variables change during design cycles, it becomes necessary to analyze the structure and update the response of steel frame to the external loading. Structural analysis in this type is a complementary part of the design process. In the second type joint coordinates are also treated as design variables in addition to the cross sectional properties of members. Such formulation eliminates the necessity of carrying out structural analysis in every design cycle. The values of the joint displacements are determined by the optimization techniques in addition to cross sectional properties. The structural optimization literature contains structural design algorithms that make use of both type of formulation. In this study a review is carried out on mathematical and metaheuristic algorithms where the effect of the mathematical modeling on the efficiency of these algorithms is discussed.
Subfields: Civil and Structural Engineering, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/58d6781edc134ff03f5d20209e4cf3d324630201
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Civil and Structural Engineering
In Computational Theory and Mathematics
Citations in the corpus
- Emerging artificial intelligence methods in structural engineering (2018, methodology): “[11] conducted a survey on mathematical and metaheuristic algorithms in design optimization of steel frame structures.”
- The promise of implementing machine learning in earthquake engineering: A state-of-the-art review (2020, background): “Thereafter, a similar study by Saka and Geem (2013) has reviewed different mathematical modeling schemes on the optimum design of steel frames.”