Dynamic analysis of translational shells

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

Description

Title: Dynamic analysis of translational shells
Author/s:
  • Samartín, Avelino
  • Martínez González, Jesús
Item Type: Presentation at Congress or Conference (Article)
Event Title: IASS Conference on lightweight shell and space structures for normal and seismic zones
Event Dates: 13/09/1977-16/09/1977
Event Location: Alma-Ata, USSR
Title of Book: IASS Conference on Lightweight Shell and Space Structures for Normal and Seismic Zones
Date: 1977
Volume: Sect 1
Subjects:
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Mecánica de Medios Continuos y Teoría de Estructuras
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

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.

More information

Item ID: 36086
DC Identifier: http://oa.upm.es/36086/
OAI Identifier: oai:oa.upm.es:36086
Deposited by: Biblioteca ETSI Caminos
Deposited on: 18 Jun 2015 10:46
Last Modified: 18 Jun 2015 10:46
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