The effect of rotating speed on the flexural vibration of a Timoshenko beam

The effect of rotating speed on the transverse vibration of a flexible Timoshenko beam with a load at the tip is investigated. The governing equations of motion are derived using the extended Hamilton´s principle and an approximate solution is determined using the Rayleigh-Ritz method. The results indicate an increasing frequency, and decreasing vibration amplitude with increasing rotating speed. These are attributable to centrifugal stiffening and there is a threshold rotating speed for a given configuration below which the centrifugal stiffening effect is negligible