Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges

The present paper deals with the free transverse vibration of a tapered anisotropic plate with several arbitrarily located internal line hinges and non-smooth boundary, elastically restrained against rotation and translation. The equations of motion and its associated boundary and transition condit...

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Detalles Bibliográficos
Autores principales: Raffo, Javier Leandro, Grossi, Ricardo
Formato: Documento de conferencia publishedVersion
Lenguaje:Inglés
Publicado: ASOCIACIÓN ARGENTINA DE MECÁNICA COMPUTACIONAL AMCA 2020
Materias:
UTN
FRD
Vibrations
Anisotropic plates
Internal line hinges
Acceso en línea:http://hdl.handle.net/20.500.12272/4544
Aporte de:
RIA - Repositorio Institucional Abierto (UTN) de Universidad Tecnológica Nacional
id I68-R174-20.500.12272-4544
record_format dspace
institution Universidad Tecnológica Nacional
institution_str I-68
repository_str R-174
collection RIA - Repositorio Institucional Abierto (UTN)
language Inglés
topic UTN
FRD
Vibrations
Anisotropic plates
Internal line hinges
spellingShingle UTN
FRD
Vibrations
Anisotropic plates
Internal line hinges
Raffo, Javier Leandro
Grossi, Ricardo
Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges
topic_facet UTN
FRD
Vibrations
Anisotropic plates
Internal line hinges
description The present paper deals with the free transverse vibration of a tapered anisotropic plate with several arbitrarily located internal line hinges and non-smooth boundary, elastically restrained against rotation and translation. The equations of motion and its associated boundary and transition conditions are rigorously derived using Hamilton’s principle. The governing eigen value problem is solved employing a combination of the Ritz method and the Lagrange multipliers method. The deflections of the plate and the Lagrange multipliers are approximated by polynomials as coordinate functions. The developed algorithm allows obtaining approximate solutions for plates with different geometries and boundary conditions, including edges and line hinges elastically restrained. In order to obtain an indication of the accuracy of the developed mathematical model, some cases available in the literature are considered. New results are presented for different boundary conditions and restraint conditions in the internal line hinges.
format Documento de conferencia
publishedVersion
author Raffo, Javier Leandro
Grossi, Ricardo
author_facet Raffo, Javier Leandro
Grossi, Ricardo
author_sort Raffo, Javier Leandro
title Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges
title_short Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges
title_full Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges
title_fullStr Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges
title_full_unstemmed Boundary and Eigenvalue Problems for Anisotropic Plates with Several Internal Line Hinges
title_sort boundary and eigenvalue problems for anisotropic plates with several internal line hinges
publisher ASOCIACIÓN ARGENTINA DE MECÁNICA COMPUTACIONAL AMCA
publishDate 2020
url http://hdl.handle.net/20.500.12272/4544
work_keys_str_mv AT raffojavierleandro boundaryandeigenvalueproblemsforanisotropicplateswithseveralinternallinehinges
AT grossiricardo boundaryandeigenvalueproblemsforanisotropicplateswithseveralinternallinehinges
bdutipo_str Repositorios
_version_ 1764820551911604226

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