Torsional vibrations of conical elastic layer

In the work, on the basis of exact mathematical statement of problem and its generalsolution in Fourier and Laplace transformations without application of hypotheses and the preconditions usually applied at classical and specified S.P.Timoshenko type theories, the equations non-stationary torsional vibrations of circular conical elastic layer are developed. From the received results in special cases follows vibration equations of bar with variable cross-section section, circular cylindrical shell, conical layer and shell which cross-sections increase or decrease depending on longitudinal coordinate. It suggested allowing to define algorithm, on the basis of the received solutions of vibration equations, stressed-strain-state of any section of considered system with demanded accuracy on co-ordinate and time.