Time-domain Analysis Of Structures With Dampers Modelled By
Fractional Derivatives
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
Keywords
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