Natural vibrations of anisotropic plates with an internal curve with hinges

The objective of this paper is to propose a general algorithm to obtain approximate analytical solutions for the study of the free vibrations of a rectangular anisotropic thin plate with an internal curved line hinge and general restraints. In this system, there exists an intermediate condition that...

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Detalles Bibliográficos
Autores principales: Quintana, María Virginia, Raffo, Javier Leandro
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2020
Materias:
UTN
FRD
Vibration Anisotropic
plate
Ritz
Penalty function
Internal curve Hinge
Acceso en línea:http://hdl.handle.net/20.500.12272/4554
Aporte de:
RIA - Repositorio Institucional Abierto (UTN) de Universidad Tecnológica Nacional
id I68-R174-20.500.12272-4554
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
Vibration Anisotropic
plate
Ritz
Penalty function
Internal curve Hinge
spellingShingle UTN
FRD
Vibration Anisotropic
plate
Ritz
Penalty function
Internal curve Hinge
Quintana, María Virginia
Raffo, Javier Leandro
Natural vibrations of anisotropic plates with an internal curve with hinges
topic_facet UTN
FRD
Vibration Anisotropic
plate
Ritz
Penalty function
Internal curve Hinge
description The objective of this paper is to propose a general algorithm to obtain approximate analytical solutions for the study of the free vibrations of a rectangular anisotropic thin plate with an internal curved line hinge and general restraints. In this system, there exists an intermediate condition that requires the continuity of the transverse displacements. It is well known that the difficulty in choosing admissible functions has been the most significant drawback of the Ritz method. To relax the admissibility requirement the Ritz method, with polynomials as coordinate functions, in conjunction with the Penalty Function method is proposed. This study is focus on different problems related the curved hinge and a natural parametrization is used to treat the mentioned curves. The accuracy of the formulation is ensured by comparing some numerical examples with those available in the literature. Cases not previously treated are particularly analyzed. Frequencies parameters and several sets of vibration mode shapes are included, to provide a better understanding of the dynamical behavior of these plates.
format Artículo
publishedVersion
author Quintana, María Virginia
Raffo, Javier Leandro
author_facet Quintana, María Virginia
Raffo, Javier Leandro
author_sort Quintana, María Virginia
title Natural vibrations of anisotropic plates with an internal curve with hinges
title_short Natural vibrations of anisotropic plates with an internal curve with hinges
title_full Natural vibrations of anisotropic plates with an internal curve with hinges
title_fullStr Natural vibrations of anisotropic plates with an internal curve with hinges
title_full_unstemmed Natural vibrations of anisotropic plates with an internal curve with hinges
title_sort natural vibrations of anisotropic plates with an internal curve with hinges
publishDate 2020
url http://hdl.handle.net/20.500.12272/4554
work_keys_str_mv AT quintanamariavirginia naturalvibrationsofanisotropicplateswithaninternalcurvewithhinges
AT raffojavierleandro naturalvibrationsofanisotropicplateswithaninternalcurvewithhinges
bdutipo_str Repositorios
_version_ 1764820551921041411

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