TY - JOUR
T1 - Parametric order reduction of proportionally damped second-order systems
AU - Eid, Rudy
AU - Salimbahrami, Behnam
AU - Lohmann, Boris
AU - Rudnyi, Evgenii B.
AU - Korvink, Jan G.
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
KW - Moment matching
KW - Order reduction
KW - Proportional damping
KW - Second-order Krylov subspaces
KW - Second-order systems
UR - http://www.scopus.com/inward/record.url?scp=34547297991&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:34547297991
SN - 0914-4935
VL - 19
SP - 149
EP - 164
JO - Sensors and Materials
JF - Sensors and Materials
IS - 3
ER -