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Titre du document / Document title

Natural frequency and mode shape sensitivities of damped systems : Part I, distinct natural frequencies

Auteur(s) / Author(s)

LEE I.-W. (1) ; KIM D.-O. (1) ; JUNG G.-H. (2) ;

Affiliation(s) du ou des auteurs / Author(s) Affiliation(s)

(1) Department of Civil Engineering, Korea Advanced Institute of Science and Technology, Science Town, Taejon 305-701, COREE, REPUBLIQUE DE
(2) Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Science Town, Taejon 305-701, COREE, REPUBLIQUE DE

Résumé / Abstract

A procedure for determining the sensitivities of the eigenvalues and eigenvectors of damped vibratory systems with distinct eigenvalues is presented. The eigenpair derivatives of the structural and mechanical damped systems can be obtained consistently by solving algebraic equations with a symmetric coefficient matrix whose order is (n+1)×(n+1), where n is the number of co-ordinates. The algorithm of the method is very simple and compact. Furthermore, the method can find the exact solutions. As an example of a structural system to verify the proposed method and its possibilities in the case of the proportionally damped system, the finite element model of a cantilever plate is considered, and also a 7-DOF half-car model as a mechanical system in the case of a non-proportionally damped system. The design parameter of the cantilever plate is its thickness, and the design parameter of the car model is a spring. One of the remarkable characteristics of the proposed method is that its numerical stability is established.

Revue / Journal Title

Journal of sound and vibration    ISSN  0022-460X   CODEN JSVIAG 

Source / Source

1999, vol. 223, no3, pp. 399-412 (33 ref.)

Langue / Language

Anglais

Editeur / Publisher

Elsevier, Kidlington, ROYAUME-UNI  (1964) (Revue)

Mots-clés anglais / English Keywords

Vibration damping

;

Natural frequency

;

Vibrational mode

;

Motor car

;

Lorry

;

Structural analysis

;

Cantilever

;

Cantilever plate

;

Numerical method

;

Equation of motion

;

Finite element method

;

Eigenvalue problem

;

Sensitivity analysis

;

Mots-clés français / French Keywords

Amortissement vibration

;

Fréquence propre

;

Mode vibration

;

Automobile

;

Camion

;

Analyse structurale

;

Encorbellement

;

Plaque cantilever

;

Méthode numérique

;

Equation mouvement

;

Méthode élément fini

;

Problème valeur propre

;

Analyse sensibilité

;

Mots-clés espagnols / Spanish Keywords

Amortiguación vibración

;

Frecuencia propia

;

Modo de vibración

;

Automóvil

;

Camión

;

Análisis estructural

;

Salidizo

;

Placa cantilever

;

Método numérico

;

Ecuación movimiento

;

Método elemento finito

;

Problema valor propio

;

Análisis sensibilidad

;

Localisation / Location

INIST-CNRS, Cote INIST : 11530, 35400008524630.0040

Nº notice refdoc (ud4) : 1787844



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