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Article Dans Une Revue Theoretical and Applied Mechanics Letters Année : 2014

Limit point buckling of a finite beam on a nonlinear foundation

Romain Lagrange

Résumé

In this paper, we consider an imperfect finite beam lying on a nonlinear foundation, whose dimensionless stiffness is reduced from 1 to k as the beam deflection increases. Periodic equilibrium solutions are found analytically and are in good agreement with a numerical resolution, suggesting that localized buckling does not appear for a finite beam. The equilibrium paths may exhibit a limit point whose existence is related to the imperfection size and the stiffness parameter k through an explicit condition. The limit point decreases with the imperfection size while it increases with the stiffness parameter. We show that the decay/growth rate is sensitive to the restoring force model. The analytical results on the limit load may be of particular interest for engineers in structural mechanics.
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Dates et versions

hal-03347566 , version 1 (17-09-2021)

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Romain Lagrange. Limit point buckling of a finite beam on a nonlinear foundation. Theoretical and Applied Mechanics Letters, 2014, 4 (3), pp.031001. ⟨10.1063/2.1403101⟩. ⟨hal-03347566⟩

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