Rayleigh quotient algorithm for modal analysis of structural models

Fil: Inaudi, José A. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas, Físicas y Naturales. Departamento de Física; Argentina.

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Detalles Bibliográficos
Autor principal: Inaudi, José A.
Formato: conferenceObject
Lenguaje:Inglés
Publicado: 2024
Materias:
Cociente de Rayleigh
Análisis modal
Modelos continuos
Frecuencias naturales
Acceso en línea:http://hdl.handle.net/11086/553898
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-553898
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spelling I10-R141-11086-5538982024-10-14T13:25:34Z Rayleigh quotient algorithm for modal analysis of structural models Inaudi, José A. Cociente de Rayleigh Análisis modal Modelos continuos Frecuencias naturales Fil: Inaudi, José A. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas, Físicas y Naturales. Departamento de Física; Argentina. An algorithm for the computation of natural frequencies in continuum models based on classical separation of variables and the Rayleigh quotient is presented. The iterative method uses frequency-dependent shape functions derived from conventional modal analysis to assemble the boundary condition matrix resulting from the application of separation of variables for modal analysis, and the corresponding mass and stiffness matrices. An order reduction to a single generalized coordinate allows the application of the Rayleigh quotient for the estimation of a particular natural frequency. An iterative procedure is followed which starts from an initial estimate of a desired natural frequency. The evaluation of the Rayleigh quotient provides an improved estimate of the squared natural frequency and the corresponding improvement of the shape functions that estimate a mode shape. The recursive application of the proposed algorithm allows the estimation of any natural frequency and mode shape of the continuum model. The application of the proposed technique is illustrated using continuum-parameter rod and beam elements in longitudinal and flexural vibrations, respectively. Some characteristics of the speed of convergence and regions of convergence are explored. The algorithm shows excellent convergence characteristics. Fil: Inaudi, José A. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas, Físicas y Naturales. Departamento de Física; Argentina. Mecánica Aplicada 2024-10-09T15:11:48Z 2024-10-09T15:11:48Z 2016 conferenceObject http://hdl.handle.net/11086/553898 eng Attribution-NonCommercial-ShareAlike 4.0 International http://creativecommons.org/licenses/by-nc-sa/4.0/ Impreso
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Cociente de Rayleigh
Análisis modal
Modelos continuos
Frecuencias naturales
spellingShingle Cociente de Rayleigh
Análisis modal
Modelos continuos
Frecuencias naturales
Inaudi, José A.
Rayleigh quotient algorithm for modal analysis of structural models
topic_facet Cociente de Rayleigh
Análisis modal
Modelos continuos
Frecuencias naturales
description Fil: Inaudi, José A. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas, Físicas y Naturales. Departamento de Física; Argentina.
format conferenceObject
author Inaudi, José A.
author_facet Inaudi, José A.
author_sort Inaudi, José A.
title Rayleigh quotient algorithm for modal analysis of structural models
title_short Rayleigh quotient algorithm for modal analysis of structural models
title_full Rayleigh quotient algorithm for modal analysis of structural models
title_fullStr Rayleigh quotient algorithm for modal analysis of structural models
title_full_unstemmed Rayleigh quotient algorithm for modal analysis of structural models
title_sort rayleigh quotient algorithm for modal analysis of structural models
publishDate 2024
url http://hdl.handle.net/11086/553898
work_keys_str_mv AT inaudijosea rayleighquotientalgorithmformodalanalysisofstructuralmodels
_version_ 1824552047670722560

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