Free Vibration Analysis of Rotating Thin Twisted Plates.

Free vibrations of rotating cantilevered thin twisted plates are investigated. First, the exact strain-displacement relationships in large deflections of thin twisted plates are derived and the principle of virtual work for free vibrations of rotating cantilevered thin twisted plates is formulated. Then, a numerical procedure based on the Rayleigh-Ritz method is proposed using algebraic polynomials as assumed displacement functions. The results of the present analysis are compared with those obtained using the finite-element method to verify the usefulness of derived equations. Finally, effects of rotation, setting angle and setting length on frequency parameters are studied for typical thin twisted plates.