The unilateral contact buckling problem of continuous beams in the presence of initial geometric imperfections: an analytical approach based on the theory of elastic stability

K.A. Tzaros (1) , E.S. Mistakidis (1)

1 Faculty of Engineering

An analytical method for the treatment of the elastic buckling problem of continuous beams with intermediate unilateral constraints is presented, which is based on the fundamental theory of elastic stability. The study focuses on the unilateral contact buckling problem of beams in the presence of initial geometric imperfections. The mathematical Euler approach, based on the fundamental solution of the boundary value problem of the buckling of continuous beams, is appropriately modified in order to take into account the unilateral contact conditions. Furthermore, in order the obtained analytical solutions to be applicable for practical design cases, the actual strength of the cross section of the beam under combined compression and bending is considered. The implementation of the proposed method is demonstrated through a characteristic example.

Mots clés: Buckling; Unilateral contact; Initial geometric imperfections.; Initial geometric imperfections

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

K.A. Tzaros, E.S. Mistakidis. The unilateral contact buckling problem of continuous beams in the presence of initial geometric imperfections: an analytical approach based on the theory of elastic stability. International Journal of Non-Linear Mechanics, 2011, 46 (9), pp.1265. ⟨10.1016/j.ijnonlinmec.2011.06.008⟩. ⟨hal-00784910⟩