Transverse vibrations of cantilever beams: Analytical solutions with general steady-state forcing

Novel theoretical approach for characterization of transverse vibrations of cantilever beams under continuous spatially distributed load is proposed. Four beam theories (Euler–Bernoulli, Euler–Bernoulli with dissipation, shear and shear with dissipation) are considered. Explicit analytical solutions...

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Autores principales:	D. Gritsenko, J. Xu, R. Paoli
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2020
Materias:	Cantilever beams Transverse vibrations Euler–Bernoulli beams Tall buildings Cupula Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/22d92d1ba5d94cdf975d118ce48343ce
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spelling	oai:doaj.org-article:22d92d1ba5d94cdf975d118ce48343ce2021-12-01T05:05:34ZTransverse vibrations of cantilever beams: Analytical solutions with general steady-state forcing2666-496810.1016/j.apples.2020.100017https://doaj.org/article/22d92d1ba5d94cdf975d118ce48343ce2020-09-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666496820300170https://doaj.org/toc/2666-4968Novel theoretical approach for characterization of transverse vibrations of cantilever beams under continuous spatially distributed load is proposed. Four beam theories (Euler–Bernoulli, Euler–Bernoulli with dissipation, shear and shear with dissipation) are considered. Explicit analytical solutions are obtained for three of them and simplification algorithm for the fourth is proposed. Despite several limitations implied (time-independent loading, homogeneous boundary conditions) the solution developed is general enough and is applicable for a wide class of space-dependent loads. The approach is verified with available experimental data and shown to be applicable in a wide scale range.D. GritsenkoJ. XuR. PaoliElsevierarticleCantilever beamsTransverse vibrationsEuler–Bernoulli beamsTall buildingsCupulaEngineering (General). Civil engineering (General)TA1-2040ENApplications in Engineering Science, Vol 3, Iss , Pp 100017- (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Cantilever beams Transverse vibrations Euler–Bernoulli beams Tall buildings Cupula Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Cantilever beams Transverse vibrations Euler–Bernoulli beams Tall buildings Cupula Engineering (General). Civil engineering (General) TA1-2040 D. Gritsenko J. Xu R. Paoli Transverse vibrations of cantilever beams: Analytical solutions with general steady-state forcing
description	Novel theoretical approach for characterization of transverse vibrations of cantilever beams under continuous spatially distributed load is proposed. Four beam theories (Euler–Bernoulli, Euler–Bernoulli with dissipation, shear and shear with dissipation) are considered. Explicit analytical solutions are obtained for three of them and simplification algorithm for the fourth is proposed. Despite several limitations implied (time-independent loading, homogeneous boundary conditions) the solution developed is general enough and is applicable for a wide class of space-dependent loads. The approach is verified with available experimental data and shown to be applicable in a wide scale range.
format	article
author	D. Gritsenko J. Xu R. Paoli
author_facet	D. Gritsenko J. Xu R. Paoli
author_sort	D. Gritsenko
title	Transverse vibrations of cantilever beams: Analytical solutions with general steady-state forcing
title_short	Transverse vibrations of cantilever beams: Analytical solutions with general steady-state forcing
title_full	Transverse vibrations of cantilever beams: Analytical solutions with general steady-state forcing
title_fullStr	Transverse vibrations of cantilever beams: Analytical solutions with general steady-state forcing
title_full_unstemmed	Transverse vibrations of cantilever beams: Analytical solutions with general steady-state forcing
title_sort	transverse vibrations of cantilever beams: analytical solutions with general steady-state forcing
publisher	Elsevier
publishDate	2020
url	https://doaj.org/article/22d92d1ba5d94cdf975d118ce48343ce
work_keys_str_mv	AT dgritsenko transversevibrationsofcantileverbeamsanalyticalsolutionswithgeneralsteadystateforcing AT jxu transversevibrationsofcantileverbeamsanalyticalsolutionswithgeneralsteadystateforcing AT rpaoli transversevibrationsofcantileverbeamsanalyticalsolutionswithgeneralsteadystateforcing
_version_	1718405528580784128

Transverse vibrations of cantilever beams: Analytical solutions with general steady-state forcing

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