The Subspace Iteration Method for Eigenproblems of Frames with Viscoelastic Dampers Described Using Internal Variables
[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ P ] employee
2020
scientific article
english
- subspace iteration method
- Hermitian quadratic eigenproblem
- dampers
- Zener model
EN In the paper, the subspace iteration method is used to solve quadratic eigenproblems written for structures with viscoelastic dampers. This allows a certain previously assumed number of eigenvalues and corresponding eigenvectors to be determined. A shear frame with mass lumped on the storey level with built-in dampers is considered. Dampers are modelled with the classical Zener model. Equations of motion are written in the matrix form and include the internal variables resulting from built-in dampers. The subspace iteration method starts from adopting the number of sought solution for the quadratic eigenproblem, then the starting point of the iteration is determined and the iterative procedure is initiated. In each iterative loop the reduced quadratic eigenproblem with Hermitian matrices is solved by rearranging it into a state space form.
2020313-1 - 2020313-8
Article Number: 2020313
CC BY (attribution alone)
open journal
final published version
at the time of publication
public
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