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Article Dans Une Revue Systems Analysis Modelling Simulation Année : 2002

Stationary Vibration Analysis of Time-Periodic Systems via a Wavelet-Based Searching Procedure

Résumé

A Wavelet-Galerkin procedure was introduced in a previous paper to exhibit the transient response of parametrically excited systems involving both irregular time-varying coefficients and a relatively large number of degrees of freedom. The main scope of the present study is to introduce a wavelet technique allowing to seek periodic orbits of such dynamical systems and the associated periodic initial conditions. A few academic instances including a 1 dof Mathieu oscillator and a 3-dof system illustrate the relevance of the method by comparison with well established numerical techniques such as Runge-Kutta for example. Prospective researches are finally set to extend the wavelet method to the nonlinear case.
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Dates et versions

hal-00814568 , version 1 (17-04-2013)

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Claude-Henri Lamarque, Stéphane Pernot. Stationary Vibration Analysis of Time-Periodic Systems via a Wavelet-Based Searching Procedure. Systems Analysis Modelling Simulation, 2002, 42 (4), pp.511-525. ⟨10.1080/02329290290031297⟩. ⟨hal-00814568⟩

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