Optimization of Hyperbolic Structures Using the Charged System Search (CSS) Algorithm

Hyperbolic structures are grid-based space structures. The shape of the structures is similar to a square with fillet edges. If the mid-point of the square sides is connected in orthogonal x and y directions, the “+” shaped configuration remains at its position if the edges become even more curved and their elevation (z coordinates) do not change. Nonetheless, the elevation of the remaining points changes and form the hyperbolic structure. The application of hyperbolic structures is in covering long-span. In this study, a particular hyperbolic structure is optimized both in terms of shape and size. The Charged System Search (CSS) algorithm is used to carry out the optimization. Subsequently, optimization results are compared with corresponding results from the genetic algorithm method.