Abstract
Substructure decoupling consists in the identification of a dynamic model of a structural subsystem, starting from an experimental dynamic model (e.g. FRFs) of the assembled system and from a dynamic model of a known portion of it (the so-called residual subsystem). The degrees of freedom (DoFs) of the assembled system are partitioned into internal DoFs (not belonging to the couplings) and coupling DoFs. To achieve decoupling, a negative structure opposite to the residual subsystem is added to the assembled system, and compatibility and equilibrium conditions are enforced at interface DoFs. Interface DoFs can include coupling DoFs only (standard interface), additional internal DoFs of the residual subsystem (extended interface), subsets of coupling DoFs and internal DoFs (mixed interface), or a subset of internal DoFs only (pseudo interface). As shown in previous papers, the use of a mixed interface allows to replace some coupling DoFs (e.g. rotational DoFs) with a subset of internal DoFs. Furthermore, qualitative criteria for an appropriate selection of the internal DoFs used to replace unwanted coupling DoFs are stated. In this paper, a procedure to optimally replace coupling DoFs with internal DoFs is developed, using either the Frequency Response Function (FRF) or the transmissibility between internal and coupling DoFs. The procedure is tested on an assembled structure made by a cantilever column with two staggered short arms (residual substructure) coupled to a horizontal beam (unknown substructure).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
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)
Sestieri, A., Salvini, P., D’Ambrogio, W.: Reducing scatter from derived rotational data to determine the frequency response function of connected structures. Mech. Syst. Signal Process. 5(1), 25–44 (1991)
Stanbridge, A., Ewins, D.: Measurement of translational and angular vibration using a scanning laser Doppler vibrometer. Shock. Vib. 3, 141–152 (1996)
Bello, M., Sestieri, A., D’Ambrogio, W., La Gala, F.: Development of a rotation transducer based on bimorph PZT’s. Mech. Syst. Signal Process. 17(5), 1069–1081 (2003)
D’Ambrogio, W., Fregolent, A.: Are rotational DoFs essential in substructure decoupling? In: Allen, M., Mayes, R., Rixen, D. (eds.) Dynamics of Coupled Structures, vol. 1. Conference Proceedings of the Society for Experimental Mechanics Series, pp. 27–36. Springer International Publishing, Cham (2014)
D’Ambrogio, W., Fregolent, A.: Ignoring rotational DoFs in decoupling structures connected through flexotorsional joints. In: Allen, M., Mayes, R.L., Rixen, D.J. (eds.) Dynamics of Coupled Structures, vol. 4. Conference Proceedings of the Society for Experimental Mechanics Series, pp. 57–69. Springer International Publishing, Cham (2015)
D’Ambrogio, W., Fregolent, A.: Selection of internal DoFs to replace hard to measure coupling dofs in substructure decoupling. Proceedings of ICoEV 2015, International Conference on Engineering Vibration, pp. 1225–1234. Faculty for Mechanical Engineering, University of Ljubljana, 7–10 September 2015
Voormeeren, S.N., Rixen, D.J.: A family of substructure decoupling techniques based on a dual assembly approach. Mech. Syst. Signal Process. 27, 379–396 (2012). doi:10.1016/j.ymssp.2011.07.028
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). Also in Proceedings of ISMA 2010, pp. 1863–1880, Leuven. doi:10.1016/j.ymssp.2010.05.007
D’Ambrogio, W., Fregolent, A.: Direct decoupling of substructures using primal and dual formulation. In: Linking Models and Experiments, vol. 2. Conference Proceedings of the Society of Experimental Mechanics Series, vol. 4, pp. 47–76. Springer, Jacksonville, FL (January 31–February 3, 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)
Acknowledgements
This research is supported by grants from University of Rome La Sapienza and University of L’Aquila.
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
D’Ambrogio, W., Fregolent, A. (2016). Optimal Replacement of Coupling DoFs in 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_8
Download citation
DOI: https://doi.org/10.1007/978-3-319-29763-7_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-29762-0
Online ISBN: 978-3-319-29763-7
eBook Packages: EngineeringEngineering (R0)