STEADY STATE TORSION OF TWICE TRUNCATED ELASTIC CONE

The problem of determining the displacements and stress fields of an elastic twice truncated cone is considered in case of steady state torsional oscillations. To get the solution, the G.Ya. Popov integral transformation with regard to the angular coordinate is applied. It allows to reduce the original problem to a one-dimensional boundary value problem in the domain of transformations, the solution of which is constructed in an explicit form. Dispersion equations for determining the eigen frequencies are obtained. The dependence of the eigen frequencies on the geometric parameters of the cone is investigated.