Free flexural-torsional vibrations of a uniform spinning beam

Abstract The present study deals with the free vibration coupling of bending and torsion of a uniform spinning beam. The exact solution is presented. An example is carried out numerically in order to point out the influence of whole coupling. Comparison is made with previous works on bending without torsional coupling and torsion neglecting bending coupling. It is concluded that flexural-torsional coupling is unavoidable. In effect, in neglecting it some fundamental frequencies are lost and others are in error.