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Dynamic properties of structures with dampers modelled using fractional order derivatives

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DOI: 10.4236/ojapps.2012.24B033    2,089 Downloads   3,666 Views  

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Pawlak, Z. and Lewandowski, R. (2012) Dynamic properties of structures with dampers modelled using fractional order derivatives. Open Journal of Applied Sciences, 2, 138-142. doi: 10.4236/ojapps.2012.24B033.

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