A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams

This note deals with the free transverse vibration of a beam with two arbitrarily located internal hinges, four intermediate elastic restraints, and ends elastically restrained against rotation and translation. The method of separation of variables is used for the determination of the exact frequenc...

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Autores principales: Raffo, Javier, Grossi, Ricardo
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2020
Materias:
UTN
FRD
Mecánica Computacional
Acceso en línea:http://hdl.handle.net/20.500.12272/4561
Aporte de:
RIA - Repositorio Institucional Abierto (UTN) de Universidad Tecnológica Nacional
id I68-R174-20.500.12272-4561
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
Mecánica Computacional
spellingShingle UTN
FRD
Mecánica Computacional
Raffo, Javier
Grossi, Ricardo
A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams
topic_facet UTN
FRD
Mecánica Computacional
description This note deals with the free transverse vibration of a beam with two arbitrarily located internal hinges, four intermediate elastic restraints, and ends elastically restrained against rotation and translation. The method of separation of variables is used for the determination of the exact frequencies and mode shapes. New results are presented for different boundary conditions and restraint conditions in the internal hinges. The mathematical model is also used to study the influence on the frequencies and mode shapes of varying intermediate supports that are located at the nodal points of higher modes. A detailed numerical study on the effects of the locations of intermediate translational restraints and their stiffness on the natural frequencies and mode shapes is performed for different boundary conditions. The effect of the presence of the internal hinges is alsoanalysed. Graphsandtablesofthenon-dimensionalfrequenciesandthecorrespondingmodeshapesaregiven in order to illustrate the behaviour of frequency parameters and the presence of mode shape switching.
format Artículo
publishedVersion
author Raffo, Javier
Grossi, Ricardo
author_facet Raffo, Javier
Grossi, Ricardo
author_sort Raffo, Javier
title A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams
title_short A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams
title_full A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams
title_fullStr A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams
title_full_unstemmed A Note on the Influence of Intermediate Restraints and Hinges in Frequencies and Mode Shapes of Beams
title_sort note on the influence of intermediate restraints and hinges in frequencies and mode shapes of beams
publishDate 2020
url http://hdl.handle.net/20.500.12272/4561
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