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Response of a buckled beam constrained by a tensionless elastic foundation / Jen-San Chen in Journal of engineering mechanics, Vol. 137 N° 6 (Juin 2011) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 137 N° 6 (Juin 2011) . - pp.383-389 Titre : Response of a buckled beam constrained by a tensionless elastic foundation Type de document : texte imprimé Auteurs : Jen-San Chen, Auteur ; Hsu-Hao Wu, Auteur Année de publication : 2011 Article en page(s) : pp.383-389 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Buckled  beam  Tensionless  foundation  Deformation  Vibration  and  stability Résumé : In this paper, we study the deformation and stability of a pinned buckled beam under a point force. The buckled beam is constrained by a tensionless elastic foundation, which is flat before deformation. From static analysis, we found a total of five different deformation patterns: (1) noncontact, (2) full contact, (3) one-sided contact, (4) isolated contact in the middle, and (5) two-sided contact. For a specified set of parameters, there may coexist multiple equilibria. To predict the response of the buckled beam foundation system as the point force moves from one end to the other, we have to determine the stability of these equilibrium configurations. To achieve this, a vibration method is adopted to calculate the natural frequencies of the system, taking into account the slight variation of the contact range between the buckled beam and the tensionless foundation during vibration. It is concluded that among all five deformation patterns, Deformations 1, 2, 3, and 4 may become stable for certain loading parameters. In the extreme case in which the foundation is rigid, on the other hand, only Deformations 1 and 3 are stable. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v137/i6/p383_s1?isAuthorized=no [article] Response of a buckled beam constrained by a tensionless elastic foundation [texte imprimé] / Jen-San Chen, Auteur ; Hsu-Hao Wu, Auteur . - 2011 . - pp.383-389. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 137 N° 6 (Juin 2011) . - pp.383-389 Mots-clés : Buckled  beam  Tensionless  foundation  Deformation  Vibration  and  stability Résumé : In this paper, we study the deformation and stability of a pinned buckled beam under a point force. The buckled beam is constrained by a tensionless elastic foundation, which is flat before deformation. From static analysis, we found a total of five different deformation patterns: (1) noncontact, (2) full contact, (3) one-sided contact, (4) isolated contact in the middle, and (5) two-sided contact. For a specified set of parameters, there may coexist multiple equilibria. To predict the response of the buckled beam foundation system as the point force moves from one end to the other, we have to determine the stability of these equilibrium configurations. To achieve this, a vibration method is adopted to calculate the natural frequencies of the system, taking into account the slight variation of the contact range between the buckled beam and the tensionless foundation during vibration. It is concluded that among all five deformation patterns, Deformations 1, 2, 3, and 4 may become stable for certain loading parameters. In the extreme case in which the foundation is rigid, on the other hand, only Deformations 1 and 3 are stable. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v137/i6/p383_s1?isAuthorized=no