Fuzzy linear elastic dynamic analysis of 2-dimensional semi-rigid steel frame with fuzzy fixity factors

Abstract

This paper proposes a fuzzy finite element procedure for dynamic analysis of planar steel frame structures with fuzzy input parameters. The fixity factors of beam – column and column – base connections, loads, mass per unit volume and damping ratio are modeled as triangular fuzzy numbers. The Newmark-β numerical integration method is applied to determine the displacement of the linear dynamic equilibrium equation system. The α-level optimization using the Differential Evolution (DE) involving integrated finite element modeling is proposed to apply in the fuzzy structural dynamic analysis. The efficiency of proposed methodology is demonstrated through example problem relating to for the twenty-story, four-bay portal steel frame.