Journal of Theoretical
and Applied Mechanics

48, 3, pp. 703-714, Warsaw 2010

Static and dynamic interactive buckling regarding axial extension mode of thin-walled channel

Zbigniew Kołakowski
The present paper deals with an influence of the axial extension mode on static and dynamic interactive buckling of a thin-walled channel with imperfections subjected to uniform compression when the shear lag phenomenon and distortional deformations are taken into account. A plate model is adopted for the channel. The structure is assumed to be simply supported at the ends. Equations of motion of component plates were obtained from Hamilton's principle taking into account all components of inertia forces. In the frame of first order nonlinear approximation, the dynamic problem of modal interactive buckling is solved by the transition matrix using the perturbation method and Godunov's orthogonalization.
Keywords: thin-walled structures; dynamic interactive buckling; axial mode