TY - GEN
T1 - Towards dynamic substructuring using measured impulse response functions
AU - van der Seijs, M. V.
AU - van der Valk, P. L.C.
AU - van der Horst, T.
AU - Rixen, D. J.
N1 - Publisher Copyright:
© The Society for Experimental Mechanics, Inc. 2014.
PY - 2014
Y1 - 2014
N2 - The Impulse Based Substructuring (IBS) method has been proposed lately as an alternative approach to evaluate the dynamic response of a system, using the experimentally determined Impulse Response Functions (IRFs) of its components. In previous research a first experimental IBS analysis was performed using measurements on two interface points of a POM bar. It was observed that the IRFs obtained from the imperfect impulses (by means of impact hammer testing) result in stability issues in the substructuring analysis. To obtain IRFs associated with a “true” Dirac impulse, several approaches are discussed. It is known that frequency domain averaging leads to small phase errors and thereby non-causality in the IRF obtained through inverse Fourier transformation. Alternatively a time-domain approach is presented which allows for averaging of multiple impacts while avoiding Fourier transformations. By writing the convolution product of the dynamic system using a Toeplitz matrix, the IRF can be found from solving a least-square linear system. To improve efficiency, the system can be formulated as an inverse filter operation. The time-domain procedure is illustrated by application to the one-dimensional POM bar.
AB - The Impulse Based Substructuring (IBS) method has been proposed lately as an alternative approach to evaluate the dynamic response of a system, using the experimentally determined Impulse Response Functions (IRFs) of its components. In previous research a first experimental IBS analysis was performed using measurements on two interface points of a POM bar. It was observed that the IRFs obtained from the imperfect impulses (by means of impact hammer testing) result in stability issues in the substructuring analysis. To obtain IRFs associated with a “true” Dirac impulse, several approaches are discussed. It is known that frequency domain averaging leads to small phase errors and thereby non-causality in the IRF obtained through inverse Fourier transformation. Alternatively a time-domain approach is presented which allows for averaging of multiple impacts while avoiding Fourier transformations. By writing the convolution product of the dynamic system using a Toeplitz matrix, the IRF can be found from solving a least-square linear system. To improve efficiency, the system can be formulated as an inverse filter operation. The time-domain procedure is illustrated by application to the one-dimensional POM bar.
KW - Experimental substructuring
KW - FIR
KW - Impact testing
KW - Impulse based substructuring
KW - Toeplitz matrix
UR - https://www.scopus.com/pages/publications/84988693224
U2 - 10.1007/978-3-319-04501-6_6
DO - 10.1007/978-3-319-04501-6_6
M3 - Conference contribution
AN - SCOPUS:84988693224
SN - 9783319007700
T3 - Conference Proceedings of the Society for Experimental Mechanics Series
SP - 73
EP - 82
BT - Dynamic Behavior of Materials - Proceedings of the 2013 Annual Conference on Experimental and Applied Mechanics
PB - Springer New York LLC
T2 - 32nd IMAC Conference and Exposition on Structural Dynamics, 2014
Y2 - 3 February 2014 through 6 February 2014
ER -