Theoretical and Applied Mechanics Letters | |
Limit point buckling of a finite beam on a nonlinear foundation | |
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