PROBABILISTIC MULTI-OBJECTIVE OPTIMAL DESIGN OF SEISMIC-RESISTANT BRACED STEEL FRAMES USING ARMA MODELS

The objective of this paper is to develop a probabilistic multi-objective optimal design method for concentrically braced steel frames, including the design earthquake via a dynamic ARMA (Auto-Regressive Moving Average) model. The features of this design method are: (i) to make it possible to incorporate inherent uncertain features of design earthquakes into the design process itself through the dynamic ARMA model, (ii) to provide a simplified design formula for a preliminary design of concentrically braced steel frames based upon the concept of decomposed stiffness design, and (iii) to facilitate the formulation of a new probabilistic multi-objective optimal design problem aimed at finding the design with the minimum level of designer's dissatisfaction. In this optimal design problem, constraints and objectives are handled in a unit&i manner after a feasible design is obtained. Two design examples are presented to demonstrate the validity of this design method. Finally, the generality and practicality of the design method are assessed.

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