Natural vibrations of corrugated orthotropic shells of revolution

The torsional and longitudinal-flexural vibrations of corrugated orthotropic shells are investigated. Relations, including the equations of motion in forces and moments and Hooke's relations, are obtained using the Kirchhoff-Love hypotheses. The influence of the geometric parameters of the shell (corrugation amplitude and length) on the eigenfrequencies and natural vibrations modes is studied for fixed-end shells. It is found that during torsional vibrations, increasing the corrugation amplitude and increasing the number of corrugations leads to a decrease in the resonant frequencies. In the case of torsional and longitudinal-flexural vibrations, the influence of the corrugation amplitude on the natural vibration modes is investigated.