Free vibration analysis of rotating Timoshenko beams with multiple delaminations

Analytical solutions are developed to study the free vibrations of rotating Timoshenko beams with multiple delaminations. The Timoshenko beam theory and both the ‘free mode’ and ‘constrained mode’ assumptions in delamination vibration are adopted. Parametric studies are performed to study the influences of Timoshenko effect and rotating speed on delamination vibration. Results show that the effect of delamination on both modes 1 and 2 natural frequencies is significantly influenced by Timoshenko effect and the rotating speed. Also, the comparison between ‘free mode’ assumption and ‘constrained assumption’ are conducted. Furthermore, the effect of delamination on mode shapes is also influenced by rotating speed and Timoshenko effect. For both Timoshenko effect and rotating speed, the influences on the second vibration mode shape are more significant.