- Tytuł:
- The subspace iteration method for eigenproblems of frames with viscoelastic dampers described using internal variables
- Autorzy:
- Łasecka-Plura, Magdalena
- Powiązania:
- https://bibliotekanauki.pl/articles/2146616.pdf
- Data publikacji:
- 2020
- Wydawca:
- Politechnika Poznańska. Instytut Mechaniki Stosowanej
- Tematy:
-
subspace iteration method
Hermitian quadratic eigenproblem
dampers
Zener model
metoda iteracji podprzestrzeni
amortyzator
model Zenera - Opis:
- 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.
- Źródło:
-
Vibrations in Physical Systems; 2020, 31, 3; art. no. 2020313
0860-6897 - Pojawia się w:
- Vibrations in Physical Systems
- Dostawca treści:
- Biblioteka Nauki
Artykuł