Non-linear vibrations of sandwich viscoelastic shells

Lahcen Benchouaf; El Hassan Boutyour; El Mostafa Daya; Michel Potier-Ferry

doi:10.1016/j.crme.2017.12.013

Non-linear vibrations of sandwich viscoelastic shells

Lahcen Benchouaf ¹ ; El Hassan Boutyour ¹ ; El Mostafa Daya ² ; Michel Potier-Ferry ²

¹ Laboratory of Mechanics, Energetics, Electronics & Telecommunications, Department of Applied Physics, Faculty of Sciences and Technology, Hassan 1st University, PO Box 577, Settat, Morocco
² Laboratoire d'étude des microstructures et de mécanique des matériaux (LEM3), UMR CNRS 7239, Université de Lorraine, Metz, France

Comptes Rendus. Mécanique, Volume 346 (2018) no. 4, pp. 308-319.

Résumé

This paper deals with the non-linear vibration of sandwich viscoelastic shell structures. Coupling a harmonic balance method with the Galerkin's procedure, one obtains an amplitude equation depending on two complex coefficients. The latter are determined by solving a classical eigenvalue problem and two linear ones. This permits to get the non-linear frequency and the non-linear loss factor as functions of the displacement amplitude. To validate our approach, these relationships are illustrated in the case of a circular sandwich ring.

Reçu le : 2017-10-09
Accepté le : 2017-12-04
Publié le : 2018-02-23

DOI : 10.1016/j.crme.2017.12.013

Mots clés : Non-linear vibration, Viscoelastic, Sandwich, Harmonic balance method, Eigenvalue, Loss factor

Affiliations des auteurs :

Lahcen Benchouaf ¹ ; El Hassan Boutyour ¹ ; El Mostafa Daya ² ; Michel Potier-Ferry ²

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     author = {Lahcen Benchouaf and El Hassan Boutyour and El Mostafa Daya and Michel Potier-Ferry},
     title = {Non-linear vibrations of sandwich viscoelastic shells},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {308--319},
     publisher = {Elsevier},
     volume = {346},
     number = {4},
     year = {2018},
     doi = {10.1016/j.crme.2017.12.013},
     language = {en},
}

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Lahcen Benchouaf; El Hassan Boutyour; El Mostafa Daya; Michel Potier-Ferry. Non-linear vibrations of sandwich viscoelastic shells. Comptes Rendus. Mécanique, Volume 346 (2018) no. 4, pp. 308-319. doi : 10.1016/j.crme.2017.12.013. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2017.12.013/

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