Author(s)

V. Gusella, G. Terenzi

Abstract

Time-domain analysis of structures with dampers modelled by fractional derivatives V. Gusella*, G. Terenzi^ ^Department of Civil and Environmental Engineering, Perugia University, Italy ^Department of Civil Engineering, Florence University, Italy Abstract Two numerical procedures are proposed to solve the equations of motion of multi-degree-of-freedom systems with damping properties expressed by frac- tional derivatives, representative of the behaviour of several classes of devices used in the field of structural control. The two procedures are modified versions of the central difference integration method, previously introduced for single- degree-of-freedom systems and extended herein to multi-degree-of-freedom cases, and the constant-average-acceleration implicit Newmark method, both im- plemented for problems governed by fractional derivatives. The generalized for- mulations of the two integration schemes are presented in terms of recursive equations. The stability and acc

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