Abstract: By using Pontryagin’s maximum principle we determine the shape of the lightest rotating rod, stable against buckling. It is shown that the cross-sectional area function is determined from the ...

Abstract: We use an analytical technique based on nonsmooth coordinate transformations to study discreteness effects in the post-buckling state of a circular ring loaded by a periodic array of compressive ...

Abstract: Plane motion of an elastic rod, subjected to a compressive force is analyzed. Equations of motions are derived for the case when deformations are not small. It is assumed that the compressive ...

Abstract: The influence of rotary inertia, shear, and axis extensibility on the stability boundary of a generalized Leipholz column is analyzed. Namely, we consider the problem of determining the stability boundary for an elastic ...

Abstract: Buckling of a heavy elastic column loaded by a concentrated force at the top is analyzed. It is assumed that the base of the column is fixed to a rigid circular plate that is positioned on a homogeneous, isotropic, linearly ...

Abstract: The present note studies the buckling behavior of a hinged‐hinged column, taking into consideration the effect of shear deformation. The approach taken is an extension of the method proposed by Timoshenko and Gere in 1961. ...