Optimum geometry design of geodesic domes using harmony search algorithm

Saka, M. P.
The optimum geometry design of geodesic domes presents difficulty due to the fact that the height of the dome keeps on changing during the design process. This in turn makes it necessary to automate the computation of the coordinates of joints in the dome when the height of crown changes. The algorithm presented in this study carries out the optimum geometry design of single layer geodesic domes. It treats the height of the crown as design variable in addition to the cross-sectional designations of members. A procedure is developed that calculates the joint coordinates automatically for a given height of the crown. The serviceability and strength requirements are considered in the design problem as specified in BS5950-2000. This code makes use of limit state design concept in which structures are designed by considering the limit states beyond which they would become unfit for their intended use. This new addition contains revisions adopting European and international standards for materials, processes and loading. BS 5950 is adopted by many commonwealth countries as their steel design code. The optimum solution of the design problem is obtained using harmony search algorithm. This numerical technique imitates the musical performance process that takes place when a musician searches for a better state of harmony. Jazz improvisation seeks to find musically pleasing harmony similar to the optimum design process which seeks to find the optimum solution. The design examples considered have shown that harmony search algorithm obtains the optimum height and sectional designations for members in relatively less number of searches.


Optimum topological design of geometrically nonlinear single layer latticed domes using coupled genetic algorithm
Saka, M. P. (2007-11-01)
Single layer latticed domes are lightweight and elegant structures that provide cost-effective solutions to cover the large areas without intermediate supports. The topological design of these structures present difficulty due to the fact that the number of joints and members as well as the height of the dome keeps on changing during the design process. This makes it necessary to automate the numbering of joints and members and the computation of the coordinates of joints in the dome. On the other hand the ...
Optimum topology design of various geometrically nonlinear latticed domes using improved harmony search method
Carbas, Serdar; Saka, Mehmet P. (2012-03-01)
Domes are elegant and economical structures used in covering large areas. They are built in various forms. According to their form, they are given special names such as lamella, network, and geodesic domes. In this paper, optimum topological design algorithm is presented that determines the optimum number of rings, the optimum height of crown and tubular section designations for the member groups of these domes. The design algorithm developed has a routine that generates the data required for the geometry o...
Optimum Detailed Design of Reinforced Concrete Continuous Beams using the Harmony Search Algorithm
Akin, A.; Saka, M. P. (2010-09-17)
Design optimization of reinforced concrete structures is more challenging than that of steel structures due to the complexity associated with reinforcement design. In this study, optimum design algorithm is presented for reinforced concrete continuous beams. The design variables are selected as the width and the depth of beams in each span, the diameter and the number of longitudinal reinforcement bars along span and supports, and the diameter of ties. The design constraints are implemented from ACI 318-05 ...
Optimum Design of Concrete Cantilever Retaining Walls using the Harmony Search Algorithm
Akin, A.; Saka, M. P. (2010-09-17)
Optimum cost design of reinforced concrete cantilever retaining walls with harmony search algorithm is presented in this paper. The reinforced concrete cantilever retaining wall is the most common type among the retaining wall structures. In the formulation of the optimum design problem the height and thickness of stem, length of toe projection and the thickness of stem at base level, the length and thickness of base, the depth and thickness of key and the distance from toe to the key are treated as design ...
Optimum design of high-rise steel buildings using an evolution strategy integrated parallel algorithm
Hasançebi, Oğuzhan; Kurç, Özgür (null; 2009-12-01)
The present study addresses a parallel solution algorithm for optimum design of large steel space frame structures, in particular high-rise steel buildings. The algorithm implements a novel discrete evolution strategy optimization method to effectively size these systems for minimum weight according to the provisions of ASD-AISC specification and various practical aspects of design process. The multitasking environment in the algorithm rests on a master-slave model based parallelization of the optimization ...
Citation Formats
M. P. Saka, “Optimum geometry design of geodesic domes using harmony search algorithm,” ADVANCES IN STRUCTURAL ENGINEERING, pp. 595–606, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63569.