Natural vibrations of anisotropic plates with several internal line hinges

This paper deals with the free transverse vibration of anisotropic plates with several arbitrarily located internal line hinges and piecewise smooth boundaries, elastically restrained against rotation and translation. The equations of motion and the associated boundary and transition conditions are...

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Detalles Bibliográficos
Autores principales: Grossi, Ricardo, Raffo, Javier
Formato: Documento de conferencia publishedVersion
Lenguaje:Inglés
Publicado: Sprimger Link 2020
Materias:
UTN
FRD
Rectangular Plate
Frequency Parameter Natural Vibration
Lagrange Multiplier Method Internal Line
Acceso en línea:http://hdl.handle.net/20.500.12272/4562
Aporte de:
RIA - Repositorio Institucional Abierto (UTN) de Universidad Tecnológica Nacional
id I68-R174-20.500.12272-4562
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
Rectangular Plate
Frequency Parameter Natural Vibration
Lagrange Multiplier Method Internal Line
spellingShingle UTN
FRD
Rectangular Plate
Frequency Parameter Natural Vibration
Lagrange Multiplier Method Internal Line
Grossi, Ricardo
Raffo, Javier
Natural vibrations of anisotropic plates with several internal line hinges
topic_facet UTN
FRD
Rectangular Plate
Frequency Parameter Natural Vibration
Lagrange Multiplier Method Internal Line
description This paper deals with the free transverse vibration of anisotropic plates with several arbitrarily located internal line hinges and piecewise smooth boundaries, elastically restrained against rotation and translation. The equations of motion and the associated boundary and transition conditions are derived using Hamilton’s principle in a rigorous framework. A new analytical manipulation based on a condensed notation is used to compact the corresponding analytical expressions. A combination of the Ritz method and the Lagrange multipliers method with polynomials as coordinate functions is used to obtain tables of the nondimensional frequencies and the corresponding mode shapes, for rectangular plates with different boundary conditions and restraint conditions in the internal line hinges. The cases not previously treated of two- and three line hinges are particularly analyzed.
format Documento de conferencia
publishedVersion
author Grossi, Ricardo
Raffo, Javier
author_facet Grossi, Ricardo
Raffo, Javier
author_sort Grossi, Ricardo
title Natural vibrations of anisotropic plates with several internal line hinges
title_short Natural vibrations of anisotropic plates with several internal line hinges
title_full Natural vibrations of anisotropic plates with several internal line hinges
title_fullStr Natural vibrations of anisotropic plates with several internal line hinges
title_full_unstemmed Natural vibrations of anisotropic plates with several internal line hinges
title_sort natural vibrations of anisotropic plates with several internal line hinges
publisher Sprimger Link
publishDate 2020
url http://hdl.handle.net/20.500.12272/4562
work_keys_str_mv AT grossiricardo naturalvibrationsofanisotropicplateswithseveralinternallinehinges
AT raffojavier naturalvibrationsofanisotropicplateswithseveralinternallinehinges
bdutipo_str Repositorios
_version_ 1764820551927332867

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