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Free vibrations of an elastically supported geometrically nonlinear column subjected to a generalized load with a force directed toward the positive pole / S. Uzny in Journal of engineering mechanics, Vol.137 N° 11 (Novembre 2011) 

Public ISBD [article]  in Journal of engineering mechanics > Vol.137 N° 11 (Novembre 2011) . - pp.740-748 Titre : Free vibrations of an elastically supported geometrically nonlinear column subjected to a generalized load with a force directed toward the positive pole Type de document : texte imprimé Auteurs : S. Uzny, Auteur Année de publication : 2012 Article en page(s) : pp.740-748 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Elasticity  Columns  Vibration  Load  factors Résumé : The formulation of and solution to the problem of the free vibrations of a geometrically nonlinear column, supported at the loaded end by a spring with linear characteristics, are discussed in the paper. Transversal free vibrations around a rectilinear form of static equilibrium are considered in this work. The considered system was subjected to a generalized load with a force directed toward the positive pole. The boundary problem was formulated using Hamilton’s principle and the straightforward expansion method. A series of numerical simulations were conducted using the mathematical model. The characteristic curve in the plane of load versus natural frequency was assigned to different parameters of the considered system. Experimental research was carried out to confirm the accuracy of the assumed mathematical model. The research relied on modal analysis and the determination of the natural frequency of the system for chosen values of an external load. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v137/i11/p740_s1?isAuthorized=no [article] Free vibrations of an elastically supported geometrically nonlinear column subjected to a generalized load with a force directed toward the positive pole [texte imprimé] / S. Uzny, Auteur . - 2012 . - pp.740-748. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol.137 N° 11 (Novembre 2011) . - pp.740-748 Mots-clés : Elasticity  Columns  Vibration  Load  factors Résumé : The formulation of and solution to the problem of the free vibrations of a geometrically nonlinear column, supported at the loaded end by a spring with linear characteristics, are discussed in the paper. Transversal free vibrations around a rectilinear form of static equilibrium are considered in this work. The considered system was subjected to a generalized load with a force directed toward the positive pole. The boundary problem was formulated using Hamilton’s principle and the straightforward expansion method. A series of numerical simulations were conducted using the mathematical model. The characteristic curve in the plane of load versus natural frequency was assigned to different parameters of the considered system. Experimental research was carried out to confirm the accuracy of the assumed mathematical model. The research relied on modal analysis and the determination of the natural frequency of the system for chosen values of an external load. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v137/i11/p740_s1?isAuthorized=no