Nonlinear vibrations of buckled plates by an asymptotic numerical method

Lahcen Benchouaf; El Hassan Boutyour

doi:10.1016/j.crme.2016.01.002

Nonlinear vibrations of buckled plates by an asymptotic numerical method

Lahcen Benchouaf ¹ ; El Hassan Boutyour ¹

¹ Department of Applied Physics, Faculty of Sciences and Technology, Hassan 1st University, PO Box 577, Settat, Morocco

Comptes Rendus. Mécanique, Volume 344 (2016) no. 3, pp. 151-166.

Résumé

This work deals with nonlinear vibrations of a buckled von Karman plate by an asymptotic numerical method and harmonic balance approach. The coupled nonlinear static and dynamic problems are transformed into a sequence of linear ones solved by a finite-element method. The static behavior of the plate is first computed. The fundamental frequency of nonlinear vibrations of the plate, about any equilibrium state, is obtained. To improve the validity range of the power series, Padé approximants are incorporated. A continuation technique is used to get the whole solution. To show the effectiveness of the proposed methodology, numerical tests are presented.

Reçu le : 2015-10-27
Accepté le : 2016-01-05
Publié le : 2016-02-03

DOI : 10.1016/j.crme.2016.01.002

Mots clés : Nonlinear vibrations, Buckling, Von Karman plate, Asymptotic numerical method, Harmonic balance method, Finite-element method

Affiliations des auteurs :

Lahcen Benchouaf ¹ ; El Hassan Boutyour ¹

¹ Department of Applied Physics, Faculty of Sciences and Technology, Hassan 1st University, PO Box 577, Settat, Morocco

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     title = {Nonlinear vibrations of buckled plates by an asymptotic numerical method},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {151--166},
     publisher = {Elsevier},
     volume = {344},
     number = {3},
     year = {2016},
     doi = {10.1016/j.crme.2016.01.002},
     language = {en},
}

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Lahcen Benchouaf; El Hassan Boutyour. Nonlinear vibrations of buckled plates by an asymptotic numerical method. Comptes Rendus. Mécanique, Volume 344 (2016) no. 3, pp. 151-166. doi : 10.1016/j.crme.2016.01.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.01.002/

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