Vibratory energy exchanges between a system with a chain of Saint-Venant elements and a nonlinear energy sink
ENTPE, Université de Lyon, LGCB and LTDS UMR CNRS 5513, rue Maurice Audin, F-69518 Vaulx-en-Velin, France
We present time multi-scale energy exchanges between a system with chain of Saint-Venant elements and a nonlinear energy sink under periodic external forces. A general analytical methodology is presented to detect the invariant manifold of the system at fast time scale and then its equilibrium and fold singularities at slow time scale. The latter development will let us to predict attraction(s) of the dynamical system at slow time scale to be able to design proper nonlinear energy sink devices for the aim of control and/or energy harvesting.
© Owned by the authors, published by EDP Sciences, 2014
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