Dynamic analysis of translational shells

Samartín, Avelino y Martínez González, Jesús (1977). Dynamic analysis of translational shells. En: "IASS Conference on lightweight shell and space structures for normal and seismic zones", 13/09/1977-16/09/1977, Alma-Ata, USSR.


Título: Dynamic analysis of translational shells
  • Samartín, Avelino
  • Martínez González, Jesús
Tipo de Documento: Ponencia en Congreso o Jornada (Artículo)
Título del Evento: IASS Conference on lightweight shell and space structures for normal and seismic zones
Fechas del Evento: 13/09/1977-16/09/1977
Lugar del Evento: Alma-Ata, USSR
Título del Libro: IASS Conference on Lightweight Shell and Space Structures for Normal and Seismic Zones
Fecha: 1977
Volumen: Sect 1
Escuela: E.T.S.I. Caminos, Canales y Puertos (UPM)
Departamento: Mecánica de Medios Continuos y Teoría de Estructuras
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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In this paper a dynamic analysis of transnational shells is presented. The general linear shell theory is used in conjunction with additional shallow and curved plate approximations. In order to apply some type of extended Levy solution, the shell is assumed to be limited by a rectangular plan form, with two opposite edges simply supported (gable boundary conditions). First, the shells free vibrations are studied in the usual way, obtaining for each Fourier term the natural frequencies as solutions of a transcendental equation. However, solving these equations arises enormous computational difficulties. This paper deals specifically with this problem, trying to reduce its dimension by a discretization procedure. In the shell dynamic characteristics, namely the mass. The shell mass is lumped along a family of coordinate lines. Therefore, the natural frequencies for each harmonic term can be found from the solution of a typical matrix eigenvalues problem and standard numerical techniques can be applied. The shell response to forced vibrations, particularly to earthquake excitation, can be determined by using conventional procedure either in the time or in the frequency domain. Finally, extending the above procedure, any system of translational shells under dynamic loading can be studied. Then, by using matrix methods, a general computer program is written and applied to some illustrative examples. Numerical results has been obtained in two cases: circular cylindrical shell and box girder bridge.

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ID de Registro: 36086
Identificador DC: http://oa.upm.es/36086/
Identificador OAI: oai:oa.upm.es:36086
Depositado por: Biblioteca ETSI Caminos
Depositado el: 18 Jun 2015 10:46
Ultima Modificación: 18 Jun 2015 10:46
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