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A Novel Technique for Nonlinear Analysis of Beams on Two-parameter Elastic Foundations

Auteur(s):
Médium: article de revue
Langue(s): anglais
Publié dans: International Journal of Structural Stability and Dynamics, , n. 6, v. 11
Page(s): 999-1014
DOI: 10.1142/s0219455411004440
Abstrait:

Postbuckling, nonlinear bending, and nonlinear vibration analyses are presented for a simply supported Euler–Bernoulli beam resting on a two-parameter elastic foundation. The nonlinear model is introduced by using the exact expression of the curvature. Two kinds of end conditions, namely movable and immovable, are considered. The nonlinear equation of motion, including beam–foundation interaction, is derived separately for these two kinds of end conditions. The analysis uses a two-step perturbation technique to determine the postbuckling equilibrium paths of an axially loaded beam, the static large deflections of a bending beam subjected to a uniform transverse pressure, and the nonlinear frequencies of a beam with or without initial stresses. The numerical results confirm that the foundation stiffness has a significant effect on the nonlinear behavior of Euler–Bernoulli beams. The results also reveal that the end condition has a great effect on the nonlinear bending and nonlinear vibration behaviors of Euler–Bernoulli beams with or without elastic foundations.

Structurae ne peut pas vous offrir cette publication en texte intégral pour l'instant. Le texte intégral est accessible chez l'éditeur. DOI: 10.1142/s0219455411004440.
  • Informations
    sur cette fiche
  • Reference-ID
    10352934
  • Publié(e) le:
    14.08.2019
  • Modifié(e) le:
    14.08.2019
 
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