Limit point buckling of a finite beam on a nonlinear foundation

Theoretical and Applied Mechanics Letters

关键词: buckling;    imperfection;    finite beam;    nonlinear foundation;    limit point;   

DOI  :  10.1063/2.1403101

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown