Abstract
Substructuring methods are well known and are widely used in predicting dynamics of coupled structures. In theory, there is no reason why the same techniques could not be used in a reverse problem of predicting the dynamic behavior of a particular substructure from the knowledge of the dynamics of the coupled structure and of all the other substructures. However, the reverse problem, known as decoupling, usually requires matrix inversions, and therefore even small measurement errors may easily affect the accuracy of such methods. In this study two new FRF based approaches are presented for decoupling. The methods proposed require coupled system FRFs at coordinates that belong to the known subsystem as well as the measured or calculated FRFs of the known subsystem alone. Formulations are based on the reverse application of the structural coupling method proposed in a previous publication co-authored by one of the authors of this paper. The performances of the proposed methods are demonstrated and then compared with those of some well-known recent methods in the literature through a case study.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Ewins, D.J.: Modal Testing: Theory Practice and Application. Research Studies Press Ltd., Baldock (2000)
Okubo, N., Miyazaki, M.: Development of uncoupling technique and its application. In: Proceedings of 4th International Modal Analysis Conference, Los Angeles, California, USA (1986)
Gontier, C., Bensaibi, M.: Time domain identification of a substructure from in situ analysis of the whole structure. Mech. Syst. Signal Process. 9(4), 379–396 (1995)
Silva, J.M.M., Maia, N.M.M., Ribeiro, P.M.L.: Dynamic modeling: application of uncoupling techniques. In: Proceedings of the 14th International Modal Analysis Conference, Dearborn, Michigan, USA (1996)
Maia, N.M.M., Silva, J.M.M., Ribeiro, A.M.R., Silva, P.L.C.: On the dynamic characterization of joints using uncoupling techniques. In: Proceedings of the 16th International Modal Analysis Conference, Santa Barbara, California, USA (1998)
Jetmundsen, B., Bielawa, R.L., Flannely, W.G.: Generalized frequency domain substructuring synthesis. J. Am. Helicopter Soc. 33(1), 55–64 (1988)
Ind, P.R., Ewins, D.J.: Impedance based decoupling and its application to indirect modal testing and component measurement: a numerical investigation. In: Proceedings of the 21st International Modal Analysis Conference, Kissimmee, Florida, USA (2003)
Kalling, P., Abrahamsson, T., McKelvey, T.: Subsystem state-space model identification and its sensitivity to test variability. In: Sas, P., De Munck, M. (eds.) Proceedings of ISMA 2004 - International Conference on Noise and Vibration Engineering, Leuven, pp. 2729–2744, September 2004
D’Ambrogio, W., Fregolent, A.: Decoupling of a substructure from modal data of the complete structure. In: Sas, P., De Munck, M. (eds.) Proceedings of ISMA 2004 - International Conference on Noise and Vibration Engineering, Leuven, pp. 2693–2706, September 2004
D’Ambrogio, W., Fregolent, A.: Prediction of substructure properties using decoupling procedures, structural dynamics. In: Soize, C., Schüeller, G. (eds.) Proceedings of Eurodyn 2005 - International Conference on Structural Dynamics, Paris, pp. 1893–1898, September 2005
D’Ambrogio, W., Fregolent, A.: Promises and pitfalls of decoupling techniques. In: Proceedings of the 26th International Modal Analysis Conference, Orlando, Florida, USA (2008)
Sjövall, P., Abrahamsson, T.: Substructure system identification from coupled system test data. Mech. Syst. Signal Process. 22(1), 15–33 (2008)
De Klerk, D., Rixen, D.J., de Jong, J.: Frequency based substructuring (FBS) method reformulated according to the dual domain decomposition method. In: Proceedings of the 24th International Modal Analysis Conference, St. Louis, Missouri, USA (2006)
De Klerk, D., Rixen, D.J., Voormeeren, S.: General framework for dynamic substructuring: history, review, and classification of techniques. AIAA J. 46(5), 1169–1181 (2008)
D’Ambrogio, W., Fregolent, A.: The role of interface DoFs in decoupling of substructures based on the dual domain decomposition. Mech. Syst. Signal Process. 24(7), 2035–2048 (2010)
Voormeeren, S.N., Rixen, D.J.: A dual approach to substructure decoupling techniques. In: Proceedings of the 28th International Modal Analysis Conference, Jacksonville, Florida, USA (2010)
D’Ambrogio, W., Fregolent, A.: Direct decoupling of substructures using primal and dual formulation. In: Proceedings of the 29th International Modal Analysis Conference, Jacksonville, Florida, USA (2011)
Batista, F.C., Maia, N.M.M.: Uncoupling techniques for the dynamic characterization of sub-structures. In: Proceedings of the 29th International Modal Analysis Conference, Jacksonville, Florida, USA (2011)
Cloutier, D., Avitabile, P.: Dynamic uncoupling of a system model for component identification. In: Proceedings of the 29th International Modal Analysis Conference, Jacksonville, Florida, USA (2011)
D’Ambrogio, W., Fregolent, A.: Inverse dynamic substructuring using direct hybrid assembly in the frequency domain. Mech. Syst. Signal Process. 45(2), 360–377 (2014)
Tahtalı, M., Özgüven, H.N.: Vibration analysis of dynamic structures using a new structural modification method. In: Proceedings of the 6th International Machine Design and Production Conference, METU, Ankara, pp. 511–520, 21–23 September 1994
Heylen, W., Lammens, S.: FRAC: a consistent way of comparing frequency response functions. In: Proceedings of the International Conference on Identification in Engineering, Swansea, pp. 48–57 (1996)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Kalaycıoğlu, T., Özgüven, H.N. (2016). New FRF Based Methods for Substructure Decoupling. In: Allen, M., Mayes, R., Rixen, D. (eds) Dynamics of Coupled Structures, Volume 4. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-29763-7_46
Download citation
DOI: https://doi.org/10.1007/978-3-319-29763-7_46
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-29762-0
Online ISBN: 978-3-319-29763-7
eBook Packages: EngineeringEngineering (R0)