TITLE:
Dynamic properties of structures with dampers modelled using fractional order derivatives
AUTHORS:
Zdzisław Pawlak, Roman Lewandowski
KEYWORDS:
viscoelastic damper; rheological model; fractional derivative; nonlinear eigenvalue problem; dynamic properties
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.2 No.4B,
January
15,
2013
ABSTRACT: The focus of this paper is on determination of the dynamic
parameters of structural systems with viscoelastic (VE) dampers described by
Maxwell rheological models. Such parameters could be obtained after solving the
appropriately defined nonlinear eigenvalue problem for frames with VE dampers.
The solution to the nonlinear eigenvalue problem is obtained by equating to
zero the determinant of the considered system of equations. Apart from complex
conjugate eigenvalues, the real ones occurred when dampers that are described
by the classic Maxwell model, are also determined.