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Non linear dynamic of coupled machanical systems: model reduction and identification

Tien Minh Nguyen 
Abstract : This work is devoted to the analysis and identification of the dynamical behaviour of nonlinear structures. First, four techniques for computing Nonlinear Normal Modes are presented and compared : the Shaw and Pierre's approach, the Bellizzi and Bouc's approach, the harmonic balance method and the shooting method. The combination between the three last methods and the continuation technique allows to detect bifurcation points and to obtain new branches of solution. Next, the identification of parameters characterising the dynamical behaviour of linear and nonlinear systems from free responses or responses under ambient excitation is studied. Some tools are proposed in order to process frequency modulated real signals by using the continuous wavelet transform. Finally, the linear Craig-Bampton's substructure method is extended to the nonlinear case. With the assumption of weak coupling between substructures, a reduced model of global structure is determined by assembling reduced models of substructures with fixed coupling interfaces, which are obtained from the invariant manifold (or Shaw and Pierre's) approach. The robustness and the efficiency of the studied methods are shown through numerically simulated data and benchmarks.
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Submitted on : Wednesday, December 19, 2007 - 8:00:00 AM
Last modification on : Wednesday, December 19, 2007 - 8:00:00 AM
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  • HAL Id : pastel-00002994, version 1



Tien Minh Nguyen. Non linear dynamic of coupled machanical systems: model reduction and identification. Engineering Sciences [physics]. Ecole des Ponts ParisTech, 2007. English. ⟨pastel-00002994⟩



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