Interactive dynamic buckling of orthotropic thin-walled channels subjected to in-plane pulse loading

The present paper deals with a dynamic response of thin-walled columns subjected to in-plane pulse loading when the shear lag phenomenon and the distortional deformations are taken into account. The structures are assumed to be simply supported at the ends. In order to obtain the equations of motion of individual plates, the nonlinear theory of orthotropic thin-walled plates has been modified in such a way that it additionally accounts for all components of inertial forces. The differential equations of motion have been obtained from Hamilton’s principle. The disturbance theory has been applied in order to obtain an approximate analytical solution to the equations. The problem of nonlinear stability has been solved with the transition matrix method. The problem has been investigated on the basis of the asymptotic analytical–numerical method and the finite element method. The calculations have been carried out for a channel.