Sur le calcul numérique des modes non linéaires
Abstract
This paper deals with non linear normal modes (NNM) computation. The partial differential equations (PDE) governing the geometry of the NNM in phase space is solved via a finite difference scheme. The PDE is integrated as a transport equation, the initial conditions of which are searched so as to result in periodic solutions. The solving and optimisation algorithms are tested on a 2 dof system with cubic non-linearities. This example let us discuss the algorithms' convergence and implementation. The results are also compared to computations with more standard continuation methods.
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