Thickness-shear vibration analysis of rectangular quartz plates by a numerical extended Kantorovich method

• Tipo: Artigo em Revista Científica Internacional
• Data: 2014

Autores

Liu, B (Autor) Outra; Xing, YF (Autor) Outra; Eisenberger, M (Autor) Outra; Ferreira, AJM (Autor) FEUP

Revista

Título: Composite Structures

Vol. 107

Páginas: 429-435

ISSN: 0263-8223

Editora: Elsevier

Indexação

ISI Web of Knowledge - 11 Citações

Scopus - 11 Citações

Outras Informações

ID Authenticus: P-008-J9X

DOI: 10.1016/j.compstruct.2013.08.021

Abstract (EN): Thickness-shear vibration analysis of rectangular quartz plates was carried out by a numerical extended Kantorovich method (NEKM) proposed in this paper. Thickness-shear vibration is characterized by high frequency vibration that needs huge computational cost. The NEKM reduced the two-dimensional elasticity problem into two one-dimensional ones and then solved them iteratively as the Kantorovich method. But all the processes of reduction and solvation in NEKM were carried out by using a differential quadrature finite element method (DQFEM). Therefore, the NEKM is much simpler than the Kantorovich method that does all the processes analytically with great complexity. Because the two-dimensional problem was reduced to one-dimensional ones and the DQFEM was very accurate, the NEKM was very efficient and accurate. The correctness and high accuracy of the NEKM were validated through numerical comparison with the results of the Kantorovich method in literature.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 7