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Titre du document / Document title

Exact dynamic stiffness matrix of a bending-torsion coupled beam including warping

Auteur(s) / Author(s)

BANERJEE J. R. (1) ; GUO S. (1) ; HOWSON W. P. ;

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

(1) Department of Mechanical Engineering and Aeronautics, City University, Northampton Square, London EC1V 0HB, ROYAUME-UNI

Résumé / Abstract

Amtract-It is known that an allowance for warping stiffness can change the natural frequencies of thin-walled open section beams substantially. The purpose of this paper is to investigate the magnitude of such changes by using an exact member theory. This is achieved by formulating an exact dynamic stiffness matrix for a typical beam member from established theory and linking this to a new and convenient procedure which extends the well-known Wittrick-Williams algorithm to ensure convergence upon any desired natural frequency. Numerical results are given for both single and continuous beams of the channel section for which some comparative results are available in the literature. The effect of warping stiffness on the natural frequencies is discussed and it is concluded that substantial error can be incurred if the effect is ignored.

Revue / Journal Title

Computers & structures    ISSN  0045-7949 

Source / Source

1996, vol. 59, no4, pp. 613-621 (11 ref.)

Langue / Language

Anglais

Editeur / Publisher

Elsevier, Kidlington, ROYAUME-UNI  (1971) (Revue)

Mots-clés anglais / English Keywords

Free vibration

;

Bending vibration

;

Torsional vibration

;

Thin wall

;

Theoretical study

;

Mode coupling

;

Numerical method

;

Open section beam

;

Warping

;

Stiffness matrix

;

Vibrational mode

;

Natural frequency

;

Mots-clés français / French Keywords

Vibration libre

;

Vibration flexion

;

Vibration torsion

;

Paroi mince

;

Etude théorique

;

Couplage mode

;

Méthode numérique

;

Poutre section ouverte

;

Gauchissement

;

Matrice rigidité

;

Mode vibration

;

Fréquence propre

;

Mots-clés espagnols / Spanish Keywords

Vibración libre

;

Vibración flexión

;

Vibración torsión

;

Pared delgada

;

Estudio teórico

;

Acoplamiento modo

;

Método numérico

;

Viga sección abierta

;

Torcimiento

;

Matriz rigidez

;

Modo de vibración

;

Frecuencia propia

;

Localisation / Location

INIST-CNRS, Cote INIST : 15265, 35400005331914.0040

Nº notice refdoc (ud4) : 3008900



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