TY - GEN
T1 - Model order reduction in structural dynamics
AU - Sanchez, Raul Rodriguez
AU - Buchschmid, Martin
AU - Müller, Gerhard
PY - 2016
Y1 - 2016
N2 - Frequency response analysis in structural dynamics usually requires solving large dynamical systems of the form (-ω2M + iωD + K)u(ω) = f (ω), which result from a FE discretization. A straightforward solution of big systems requires a high computational cost; therefore several Model Order Reduction (MOR) techniques have been developed in the last decades to obtain faster and efficient results. Between them interpolatory approaches have gained importance for solving second order dynamical systems. This work presents and compares ten MOR techniques which are suitable for structural dynamics problems. These are: Guyan-Irons Reduction, Improved Reduction System, Dynamic Reduction, Real Modal Analysis, Complex Modal Analysis, Craig-Bampton Method, and Interpolatory MOR methods like Multi-point Padé Approximation, the Krylov-based Galerkin Projection and the Derivativebased Galerkin Projection. A brief summary of the theoretical background is presented for each method. A first numerical example shows the applicability for damped systems and a second example shows suitability of the Interpolatory MOR methods for industrial applications, using data from a commercial FE software (ANSYS®).
AB - Frequency response analysis in structural dynamics usually requires solving large dynamical systems of the form (-ω2M + iωD + K)u(ω) = f (ω), which result from a FE discretization. A straightforward solution of big systems requires a high computational cost; therefore several Model Order Reduction (MOR) techniques have been developed in the last decades to obtain faster and efficient results. Between them interpolatory approaches have gained importance for solving second order dynamical systems. This work presents and compares ten MOR techniques which are suitable for structural dynamics problems. These are: Guyan-Irons Reduction, Improved Reduction System, Dynamic Reduction, Real Modal Analysis, Complex Modal Analysis, Craig-Bampton Method, and Interpolatory MOR methods like Multi-point Padé Approximation, the Krylov-based Galerkin Projection and the Derivativebased Galerkin Projection. A brief summary of the theoretical background is presented for each method. A first numerical example shows the applicability for damped systems and a second example shows suitability of the Interpolatory MOR methods for industrial applications, using data from a commercial FE software (ANSYS®).
KW - Frequency response
KW - Guyan reduction
KW - Krylov subspace
KW - Modal analysis
KW - Model order reduction
KW - Moment matching
UR - http://www.scopus.com/inward/record.url?scp=84995378040&partnerID=8YFLogxK
U2 - 10.7712/100016.2106.9280
DO - 10.7712/100016.2106.9280
M3 - Conference contribution
AN - SCOPUS:84995378040
T3 - ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
SP - 4221
EP - 4247
BT - ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
A2 - Stefanou, G.
A2 - Papadrakakis, M.
A2 - Papadopoulos, V.
A2 - Plevris, V.
PB - National Technical University of Athens
T2 - 7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016
Y2 - 5 June 2016 through 10 June 2016
ER -