Natural vibration and instabilility of plane franmes: exact analitycal solutions using power series

The objective of this article is to introduce a practical procedure for determining analytical solutions to free vibration and instability problems related to plane frames, by means of extended power series method. Transfer conditions are applied in order to guarantee geometric continuity and sim...

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Autores principales: Martin, Héctor, Maggi, Norberto Claudio, Piovan, Tulio, De Rosa, M.A., Martin, Nicolas
Formato: Artículo submittedVersion
Lenguaje:Inglés
Inglés
Publicado: 2020
Materias:
natural vibrations, power series, second order theory, plane frames
Acceso en línea:http://hdl.handle.net/20.500.12272/4654
Aporte de:
RIA - Repositorio Institucional Abierto (UTN) de Universidad Tecnológica Nacional
id I68-R174-20.500.12272-4654
record_format dspace
institution Universidad Tecnológica Nacional
institution_str I-68
repository_str R-174
collection RIA - Repositorio Institucional Abierto (UTN)
language Inglés
Inglés
topic natural vibrations, power series, second order theory, plane frames
spellingShingle natural vibrations, power series, second order theory, plane frames
Martin, Héctor
Maggi, Norberto Claudio
Piovan, Tulio
De Rosa, M.A.
Martin, Nicolas
Natural vibration and instabilility of plane franmes: exact analitycal solutions using power series
topic_facet natural vibrations, power series, second order theory, plane frames
description The objective of this article is to introduce a practical procedure for determining analytical solutions to free vibration and instability problems related to plane frames, by means of extended power series method. Transfer conditions are applied in order to guarantee geometric continuity and simultaneous equilibrium of knots or conexions. This procedure leads to an important reduction in the number of unknowns to be handled. In the problem of eigenvalue calculation of a frame (both in dynamics or statics), the solution corresponds to the nullity of a determinant whose order is substantially smaller compared to the one found by other ways (e.g. finite element method). In order to attain better presición, other procedures require an increase in the quantity of unknowns, however in the case of power series, only the degree of power is increased without enlarging the number of unknowns. A number of examples are presented in order to show the advantages of the present procedure. Moreover comparisons of computational costs are included in the examples.
format Artículo
submittedVersion
author Martin, Héctor
Maggi, Norberto Claudio
Piovan, Tulio
De Rosa, M.A.
Martin, Nicolas
author_facet Martin, Héctor
Maggi, Norberto Claudio
Piovan, Tulio
De Rosa, M.A.
Martin, Nicolas
author_sort Martin, Héctor
title Natural vibration and instabilility of plane franmes: exact analitycal solutions using power series
title_short Natural vibration and instabilility of plane franmes: exact analitycal solutions using power series
title_full Natural vibration and instabilility of plane franmes: exact analitycal solutions using power series
title_fullStr Natural vibration and instabilility of plane franmes: exact analitycal solutions using power series
title_full_unstemmed Natural vibration and instabilility of plane franmes: exact analitycal solutions using power series
title_sort natural vibration and instabilility of plane franmes: exact analitycal solutions using power series
publishDate 2020
url http://hdl.handle.net/20.500.12272/4654
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