Derive the stiffness and mass matrices of a uniform beam element in transverse vibration rotating at an angular velocity of Ω rad/sec about a vertical axis as shown in Fig. 12.40
(a). Using these matrices, find the natural frequencies of transverse vibration of the rotor blade of a helicopter (see Fig. 12.40
(b)) rotating at a speed of 300 rpm. Assume a uniform rectangular cross section "1 x 12" and a length for the blade. The material of the blade is aluminum.
