Variational approach of Timoshenko beams with internal elastic restraints

An exact approach for free transverse vibrations of a Timoshenko beam with ends elastically restrained against rotation and translation and arbitrarily located internal restraints is presented. The calculus of variations is used to obtain the equations of motion, the boundary conditions and the tran...

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Detalles Bibliográficos
Autores principales:	Raffo, Javier, Grossi, Ricardo
Formato:	Artículo publishedVersion
Lenguaje:	Inglés
Publicado:	2020
Materias:	UTN FRD Calculus of variations Timoshenko beams elastically restrained ends exact result
Acceso en línea:	http://hdl.handle.net/20.500.12272/4560
Aporte de:	RIA - Repositorio Institucional Abierto (UTN) de Universidad Tecnológica Nacional

id	I68-R174-20.500.12272-4560
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 Calculus of variations Timoshenko beams elastically restrained ends exact result
spellingShingle	UTN FRD Calculus of variations Timoshenko beams elastically restrained ends exact result Raffo, Javier Grossi, Ricardo Variational approach of Timoshenko beams with internal elastic restraints
topic_facet	UTN FRD Calculus of variations Timoshenko beams elastically restrained ends exact result
description	An exact approach for free transverse vibrations of a Timoshenko beam with ends elastically restrained against rotation and translation and arbitrarily located internal restraints is presented. The calculus of variations is used to obtain the equations of motion, the boundary conditions and the transitions conditions which correspond to the described mechanical system. The derived differential equations are solved individually for each segment of the beam with the corresponding boundary and transitions conditions. The derived mathematical formulation generates as particular cases, and several mathematical models are used to simulate the presence of cracks. Some cases available in the literature and the presence of some errors are discussed. New results are presented for different end conditions and restraint conditions in the intermediate elastic constraints with their corresponding modal shapes.
format	Artículo publishedVersion
author	Raffo, Javier Grossi, Ricardo
author_facet	Raffo, Javier Grossi, Ricardo
author_sort	Raffo, Javier
title	Variational approach of Timoshenko beams with internal elastic restraints
title_short	Variational approach of Timoshenko beams with internal elastic restraints
title_full	Variational approach of Timoshenko beams with internal elastic restraints
title_fullStr	Variational approach of Timoshenko beams with internal elastic restraints
title_full_unstemmed	Variational approach of Timoshenko beams with internal elastic restraints
title_sort	variational approach of timoshenko beams with internal elastic restraints
publishDate	2020
url	http://hdl.handle.net/20.500.12272/4560
work_keys_str_mv	AT raffojavier variationalapproachoftimoshenkobeamswithinternalelasticrestraints AT grossiricardo variationalapproachoftimoshenkobeamswithinternalelasticrestraints
bdutipo_str	Repositorios
_version_	1764820551926284292

Variational approach of Timoshenko beams with internal elastic restraints

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