The paper considers the identification of a structural subsystem, starting from the Frequency Response Functions of the assembled system, and from information about the remaining part of the structural system (residual subsystem), i.e. the so called decoupling problem. A possible approach is direct decoupling, which 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, a hybrid primal-dual formulation is applied in combination with collocated and non collocated interface.
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Frequency Based Subsystem Identification Using Hybrid Primal-Dual Formulation
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D’Ambrogio, W, & Fregolent, A. "Frequency Based Subsystem Identification Using Hybrid Primal-Dual Formulation." Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 23rd Biennial Conference on Mechanical Vibration and Noise, Parts A and B. Washington, DC, USA. August 28–31, 2011. pp. 499-508. ASME. https://doi.org/10.1115/DETC2011-47634
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