Abstract
The chapter discusses the topology optimization of bracing in steel structures by genetic algorithm (GA). In seismic design of steel structures, steel bracing is regularly adopted to resist lateral forces. The optimum positions of the braces are generally determined by trial and error. This process is cumbersome and incomplete. The chapter presents the topology optimization of steel braces in two-dimensional (2-D) steel frames using a simple GA. To improve the GA optimization of the brace-frame systems, the theory of graphs is also utilized in the chapter. A multiple linear segment objective function is used considering the weight, maximum drift, and uplift force in a frame. It is shown that the GA can be used effectively to optimize the topology of bracings in steel structures. Also, it is shown that using the graph theory greatly improves the convergence rate of the optimization.
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