Abstract
Abstract The paper considers the decoupling problem, i.e. the identification of the dynamic behaviour of a structural subsystem, starting from the known dynamic behaviour of the coupled system, and from information about the remaining part of the structural system (residual subsystem). Substructure decoupling techniques can be classified as inverse coupling techniques or direct decoupling techniques. In inverse coupling, the equations written for the coupling problem are rearranged to isolate (as unknown) one of the substructures instead of the coupled structure. Examples of inverse coupling are impedance and mobility approaches. Direct decoupling consists in adding to the coupled system a fictitious subsystem which is the negative of the residual subsystem. Starting from the 3-field formulation (dynamic balance, compatibility and equilibrium at the interface), the problem can be solved in a primal or in a dual manner. Compatibility and equilibrium can be required either at coupling DoFs only, or at additional internal DoFs of the residual subsystem. Furthermore DoFs used to enforce equilibrium might be not the same as DoFs used for compatibility: this generates the so called non collocated approach. In this paper, direct decoupling techniques are considered: primal and dual formulation are compared in combination with collocated and non collocated interface.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
D’Ambrogio,W., Fregolent, A.: Promises and pitfalls of decoupling procedures. In: Proceeding of 26th IMAC. Orlando (U.S.A.) (2008)
D’Ambrogio,W., Fregolent, A.: Decoupling procedures in the general framework of frequency based substructuring. In: Proceedings of 27th IMAC. Orlando (U.S.A.) (2009)
D’Ambrogio,W., Fregolent, A.: The role of interface dofs in decoupling of substructures based on the dual domain decomposition. Mechanical Systems and Signal Processing 24(7), 2035–2048 (2010). Doi:10.1016/j.ymssp.2010.05.007, also in Proceedings of ISMA 2010, pp. 1863-1880, Leuven (Belgium)
Jetmundsen, B., Bielawa, R., Flannelly, W.: Generalised frequency domain substructure synthesis. Journal of the American Helicopter Society 33(1), 55–64 (1988)
de Klerk, D.: Dynamic response characterization of complex systems through operational identification and dynamic substructuring. Ph.D. thesis, TU Delft (2009)
de Klerk, D., Rixen, D.J., Voormeeren, S.: General framework for dynamic substructuring: History, review, and classification of techniques. AIAA Journal 46(5), 1169–1181 (2008)
Sjõvall, P., Abrahamsson, T.: Substructure system identification from coupled system test data. Mechanical Systems and Signal Processing 22(1), 15–33 (2008)
Vormeeren, S.N., Rixen, D.J.: A dual approach to substructure decoupling techniques. In: Proceeding of 28th IMAC. Jacksonville (U.S.A.) (2010)
Vormeeren, S.N., Rixen, D.J.: A family of substructure decoupling techniques based on a dual assembly approach. In: P. Sas, B. Bergen (eds.) Proceedings of ISMA 2010 - International Conference on Noise and Vibration Engineering, pp. 1955–1968. Leuven (Belgium) (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media, LLC
About this paper
Cite this paper
D’Ambrogio, W., Fregolent, A. (2011). Direct decoupling of substructures using primal and dual formulation. In: Proulx, T. (eds) Linking Models and Experiments, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9305-2_5
Download citation
DOI: https://doi.org/10.1007/978-1-4419-9305-2_5
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-9304-5
Online ISBN: 978-1-4419-9305-2
eBook Packages: EngineeringEngineering (R0)