pp. 149-164
S&M672 Research Paper Published: 2007 Parametric Order Reduction of Proportionally Damped Second-Order Systems [PDF] Rudy Eid, Behnam Salimbahrami, Boris Lohmann, Evgenii B. Rudnyi and Jan G. Korvink (Received October 25, 2006; Accepted February 22, 2007) Keywords: order reduction, second-order systems, proportional damping, moment matching, second-order Krylov subspaces
In this paper, the structure-preserving order reduction of proportionally damped and undamped second-order systems is presented. The discussion is based on the second -order Krylov subspace method, and it is shown that for systems with proportional damping, the damping matrix does not contribute to the projection matrices, and that the reduction can be carried out using the classical Krylov subspaces. As a result of direct projection, the reduced-order model is parameterized in terms of the damping coefficients.
Corresponding author: Rudy EidCite this article Rudy Eid, Behnam Salimbahrami, Boris Lohmann, Evgenii B. Rudnyi and Jan G. Korvink, Parametric Order Reduction of Proportionally Damped Second-Order Systems, Sens. Mater., Vol. 19, No. 3, 2007, p. 149-164. |