Análisis de Densidad de Energía en Placas Usando Métodos Aproximados

This paper presents three approximate solutions for the energy density distribution in plates subject to harmonic excitations. These solutions are obtained considering a plane wave approximation in the energy flow equation in plates. Galerkin, least-squares, and Ritz methodsare used to solve this eq...

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Detalles Bibliográficos
Autores: Aguilera-Cortés, Luz Antonio, Herrera-May, Agustín Leobardo, González-Palacios, Maximino Antonio, Colín-Venegas, José
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2009
País:México
Institución:UNIVERSIDAD DE GUANAJUATO
Repositorio:Acta Universitaria
Idioma:español
OAI Identifier:oai:www.actauniversitaria.ugto.mx:article/112
Acceso en línea:https://www.actauniversitaria.ugto.mx/index.php/acta/article/view/112
Access Level:acceso abierto
Palabra clave:Energy density
Galerkin method
Leastsquares method
Ritz method.
Densidad de energía
Método de Galerkin
Método de mínimos cuadrados
Método de Ritz.
Descripción
Sumario:This paper presents three approximate solutions for the energy density distribution in plates subject to harmonic excitations. These solutions are obtained considering a plane wave approximation in the energy flow equation in plates. Galerkin, least-squares, and Ritz methodsare used to solve this equation. The energy density distribution is analyzed in simply supported square plates of aluminum with 1 m in length and 1 mm in thickness, respectively.Two excitation frequencies (239 Hz and 487 Hz) and four values of loss factors (0.01, 0.05, 0.10, and 0.20) in plates are considered. The results obtained using the approximate solutions agree well with exact solutions reported in the literature with a relative error lower than 10%. In addition, the proposed solutions are simple and easy to use in the prediction of the approximate-energy density distribution in plates.