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In this paper, we present a method for controlling the distribution of optimal member sections for a steel frame. The smoothing parameter is selected by using Bayesian Information Criterion, which is called ABIC. The checkerboard problem refers to the formulation of regions of alternating large and small elements ordered in a checkerboard-like fashion. The checkerboard problem can be avoided with the presented method. The validity of the method is demonstrated by numerical examples of the plane steel frame model.

OPTIMUM DESIGN METHOD FOR A STEEL FRAME CONSIDERING PRIOR INFORMATION ON PARAMETERS USING BAYESIAN INFORMATION CRITERION