Some qualitative properties of the vibration modes of the continuous system of a beam with One or two overhangs / Qishen Wang in Journal of engineering mechanics, Vol. 138 N° 8 (Août 2012)  

Public ISBD [article]  inJournal of engineering mechanics > Vol. 138 N° 8 (Août 2012) . - pp.945–952. Titre : Some qualitative properties of the vibration modes of the continuous system of a beam with One or two overhangs Type de document : texte imprimé Auteurs : Qishen Wang, Auteur ; Dajun Wang, Auteur ; Min He, Auteur Année de publication : 2012 Article en page(s) : pp.945–952. Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Beam with overhangs Green's function Conjugated system Natural frequency Mode Qualitative property Résumé : Green’s functions for the continuous system of a beam with overhangs are constructed in this paper. Green’s functions for the corresponding mathematically transformed system are proven to be of oscillating kernels. The basic oscillating properties with respect to the natural frequencies and modes of the corresponding systems are revealed and proven. The number of the nodes of the flexural moment modes of the system is determined by analyzing its conjugated system. Furthermore, some qualitative properties of its displacement modes, rotational modes, moment modes, and shearing force modes are also obtained. ISSN : 0888-5885 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000398 [article] Some qualitative properties of the vibration modes of the continuous system of a beam with One or two overhangs [texte imprimé] / Qishen Wang, Auteur ; Dajun Wang, Auteur ; Min He, Auteur . - 2012 . - pp.945–952. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 138 N° 8 (Août 2012) . - pp.945–952. Mots-clés : Beam with overhangs Green's function Conjugated system Natural frequency Mode Qualitative property Résumé : Green’s functions for the continuous system of a beam with overhangs are constructed in this paper. Green’s functions for the corresponding mathematically transformed system are proven to be of oscillating kernels. The basic oscillating properties with respect to the natural frequencies and modes of the corresponding systems are revealed and proven. The number of the nodes of the flexural moment modes of the system is determined by analyzing its conjugated system. Furthermore, some qualitative properties of its displacement modes, rotational modes, moment modes, and shearing force modes are also obtained. ISSN : 0888-5885 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000398

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