Free longitudinal vibrations of bimodular beams: a comparative study (Articolo in rivista)

Type
Label
  • Free longitudinal vibrations of bimodular beams: a comparative study (Articolo in rivista) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1142/S0219455411003975 (literal)
Alternative label
  • Denis Kharenko, Cristina Padovani, Andrea Pagni and Giuseppe Pasquinelli, Leonid Semin (2011)
    Free longitudinal vibrations of bimodular beams: a comparative study
    in International journal of structural stability and dynamics.
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Denis Kharenko, Cristina Padovani, Andrea Pagni and Giuseppe Pasquinelli, Leonid Semin (literal)
Pagina inizio
  • 23 (literal)
Pagina fine
  • 56 (literal)
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  • PUMA_ID: cnr.isti/cnr.isti/2011-A0-011 (literal)
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  • http://www.worldscientific.com/doi/abs/10.1142/S0219455411003975 (literal)
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  • 11 (literal)
Rivista
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  • 1 (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • Scopu (literal)
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  • Novosibirsk State University, Pirogova Street 2 Novosibirsk, 630090, Russia ; Istituto di Scienza e Tecnologie dell'Informazione CNR, Via G. Moruzzi Pisa, Italy ; Institute of Theoretical and Applied Mechanics, Russian Accademy of Sciences, Siberian Branch 4/1 Institutskaya Street, Novosibirsk, 630090, Russia (literal)
Titolo
  • Free longitudinal vibrations of bimodular beams: a comparative study (literal)
Abstract
  • In this paper, we consider the problem of the free longitudinal vibrations of a beam made of a bimodular material, i.e. an elastic material whose in-tension Young's modulus is a fraction of that under compression. After recalling the exact solutions for an infinite beam and for a beam with fixed ends calculated via the characteristics method, we apply high-resolution methods based on the finite-element approach to solve the nonlinear equation of the motion. In particular, we compare the exact solutions with the numerical solutions calculated using the collocation and least-squares method developed in the present study, the space-time element method, as well as total variation diminishing (TVD) and Newmark methods. (literal)
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