Stability and accuracy of three Fourier expansion-based strong form finite elements for the free vibration analysis of laminated composite plates

• Tipo: Artigo em Revista Científica Internacional
• Data: 2017

Autores

Fantuzzi, N (Autor) Outra; Tornabene, F (Autor) Outra; Bacciocchi, M (Autor) Outra; Neves, AMA (Autor) FEUP; Ferreira, AJM (Autor) FEUP

Revista

Título: International Journal for Numerical Methods in Engineering

Vol. 111

Páginas: 354-382

ISSN: 0029-5981

Editora: Wiley-Blackwell

Indexação

ISI Web of Knowledge - 53 Citações

Scopus - 61 Citações

Outras Informações

ID Authenticus: P-00P-PB4

DOI: 10.1002/nme.5468

Abstract (EN): In the present paper, strong form finite elements are employed for the free vibration study of laminated arbitrarily shaped plates. In particular, the stability and accuracy of three different Fourier expansion-based differential quadrature techniques are shown. These techniques are used to solve the partial differential system of equations inside each computational element. The three approaches are called harmonic differential quadrature, Fourier differential quadrature and improved Fourier expansion-based differential quadrature methods. The improved Fourier expansion-based differential quadrature method implements auxiliary functions in order to approximate functional derivatives up to the fourth order, with respect to the Fourier differential quadrature method that has a basis made of sines and cosines. All the present applications are related to literature comparisons and the presentation of new results for further investigation within the same topic. A study of such kind has never been proposed in the literature, and it could be useful as a reference for future investigation in this matter. Copyright (C) 2016 John Wiley & Sons, Ltd.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 29