The reconstruction of a periodic structure from its dynamical behaviour

This work is related to the inverse problem in vibration produced in a special type of mechanical structure known as periodic structure. This problem consist in determining the stiffness and mass parameter of the structure from the natural frequencies and vibrations modes. The problem concern with t...

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Autor principal:	Jiménez,Raúl D
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2011
Materias:	Inverse eigenvalue problems Periodic Structure
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000100009
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spelling	oai:scielo:S0716-091720110001000092018-10-30The reconstruction of a periodic structure from its dynamical behaviourJiménez,Raúl D Inverse eigenvalue problems Periodic Structure This work is related to the inverse problem in vibration produced in a special type of mechanical structure known as periodic structure. This problem consist in determining the stiffness and mass parameter of the structure from the natural frequencies and vibrations modes. The problem concern with the inverse eigenvalue problem for a specially structured Jacobi matrix which contains the desired parameters. Sufficient conditions to be applied to the data to obtain a real system are derived and a numerical procedure is develop. Some numerical examples are presented.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.30 n.1 20112011-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000100009en10.4067/S0716-09172011000100009
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Inverse eigenvalue problems Periodic Structure
spellingShingle	Inverse eigenvalue problems Periodic Structure Jiménez,Raúl D The reconstruction of a periodic structure from its dynamical behaviour
description	This work is related to the inverse problem in vibration produced in a special type of mechanical structure known as periodic structure. This problem consist in determining the stiffness and mass parameter of the structure from the natural frequencies and vibrations modes. The problem concern with the inverse eigenvalue problem for a specially structured Jacobi matrix which contains the desired parameters. Sufficient conditions to be applied to the data to obtain a real system are derived and a numerical procedure is develop. Some numerical examples are presented.
author	Jiménez,Raúl D
author_facet	Jiménez,Raúl D
author_sort	Jiménez,Raúl D
title	The reconstruction of a periodic structure from its dynamical behaviour
title_short	The reconstruction of a periodic structure from its dynamical behaviour
title_full	The reconstruction of a periodic structure from its dynamical behaviour
title_fullStr	The reconstruction of a periodic structure from its dynamical behaviour
title_full_unstemmed	The reconstruction of a periodic structure from its dynamical behaviour
title_sort	reconstruction of a periodic structure from its dynamical behaviour
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2011
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000100009
work_keys_str_mv	AT jimenezrauld thereconstructionofaperiodicstructurefromitsdynamicalbehaviour AT jimenezrauld reconstructionofaperiodicstructurefromitsdynamicalbehaviour
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The reconstruction of a periodic structure from its dynamical behaviour

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