Méthode de la moyenne et de double échelle pour un système de corde en vibration non linéaire. - Université Côte d'Azur Access content directly
Preprints, Working Papers, ... Year : 2009

Méthode de la moyenne et de double échelle pour un système de corde en vibration non linéaire.

Anouar Gasmi
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Abstract

We propose to study some differential systems based on previous experiments of vibrations in order to detect damage in an elastic structure. Several asymptotic expansions and numerical techniques are developped in this area. We use the vibrational response to an external actuation to try to distinguish between damaged and undamaged structures. The objective is to use very simple models in order to simulate some experimental results in [7]. The system is represented by an ordinary differentiel system that we solve with two methods of asymptotic expansion.They are compared to the numerical solution given by a step by step scheme with O.D.E package of SCILAB. The asymptotic developpement is justified with the average method . The comparison in the frequentiel plane is convenient since it provides for both approaches a qualitative and numerical interpretation
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Dates and versions

hal-00418570 , version 1 (02-02-2010)

Identifiers

  • HAL Id : hal-00418570 , version 1

Cite

Anouar Gasmi. Méthode de la moyenne et de double échelle pour un système de corde en vibration non linéaire.. 2009. ⟨hal-00418570⟩
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