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Transient response of supported beams to moving forces with sinusoidal time variation / Francesco Ricciardelli 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.422-430 Titre : Transient response of supported beams to moving forces with sinusoidal time variation Type de document : texte imprimé Auteurs : Francesco Ricciardelli, Auteur ; Carmelo Briatico, Auteur Année de publication : 2011 Article en page(s) : pp.422-430 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Supported  beams  Dynamic  loading  Transient  response  Closed-form  solution  Response  curves Résumé : Moving forces are a common loading pattern for flexible beams, found in many applications in both civil and mechanical engineering. These forces give rise to a transient response, the nature of which depends on the time variation of the amplitude of the force and its position along the beam. In addition to the possibility of numerical evaluation, closed form solutions of the beam response are beneficial for their simplicity of use, and because they allow an understanding of the system behavior. On the other hand, these prove to be rather complicated in most cases, and only a limited number of cases are available in the literature. This paper studies the simple but common case of a supported beam loaded by a force with sinusoidal time variation moving at a constant speed. Simple equations are presented for the approximated responses at and away from resonance, and their accuracy is discussed. Transient frequency response functions are also shown. Finally, as an example, the results are applied to an evaluation of the response of a beam footbridge to the action of a walker, and compared to code specifications. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v137/i6/p422_s1?isAuthorized=no [article] Transient response of supported beams to moving forces with sinusoidal time variation [texte imprimé] / Francesco Ricciardelli, Auteur ; Carmelo Briatico, Auteur . - 2011 . - pp.422-430. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 137 N° 6 (Juin 2011) . - pp.422-430 Mots-clés : Supported  beams  Dynamic  loading  Transient  response  Closed-form  solution  Response  curves Résumé : Moving forces are a common loading pattern for flexible beams, found in many applications in both civil and mechanical engineering. These forces give rise to a transient response, the nature of which depends on the time variation of the amplitude of the force and its position along the beam. In addition to the possibility of numerical evaluation, closed form solutions of the beam response are beneficial for their simplicity of use, and because they allow an understanding of the system behavior. On the other hand, these prove to be rather complicated in most cases, and only a limited number of cases are available in the literature. This paper studies the simple but common case of a supported beam loaded by a force with sinusoidal time variation moving at a constant speed. Simple equations are presented for the approximated responses at and away from resonance, and their accuracy is discussed. Transient frequency response functions are also shown. Finally, as an example, the results are applied to an evaluation of the response of a beam footbridge to the action of a walker, and compared to code specifications. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v137/i6/p422_s1?isAuthorized=no