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Vol. 32, No. 8(2), S&M2292

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Sensors and Materials
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Sensors and Materials, Volume 19, Number 3 (2007)
Copyright(C) MYU K.K.
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 Eid


Cite 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.



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