An analysis of cracks influence on the eigenfrequencies of the torsional vibrations of shafts

In this work, an analysis of the influence of the transverse cracks on the eigenfrequencies of the torsional vibrations of shafts is presented. A procedure of calculation of stiffness coefficients in cross-section weakned by the cracks has been given. A method cf construction of the equations of motion for the system has been given. The equation have been derived from the general formula for the torsional vibrations of shafts taking into account the boundary conditions. The method has been illustrated with the help of examples; the first three eigenfrequencies of the torsional vibrations of a shaft with one and two cracks, respectively, were calculated.