Elastic Stability of Columns Subjected to the Nonconservative Torque

Equations of motion of the column subjected to the nonconservative torque were derived considering the deformation of axis in this paper. Eigenvalue curves and vibration modes of the columns with boundary conditions of four kinds, which were subjected to the concentrated axial torque, concentrated tangential torque, uniformly distributed axial torque and uniformly distributed tangential torque, were evaluated from above equations of motion and nonconservative instability of them became evident. Furthermore, it became clear that the columns of case II-(a) and IV-(a) occured the unstable phenomenon of divergence form and the columns subjected to the uniformly distributed torque occured the unstable one of flutter form.