Apparently First Closed-Form Solution for Vibration of Functionally Graded Rotating Beams

Apparently the first closed-form solution for vibrations of inhomogeneous rotating beams made of functionally graded material is presented. A special version of the semi-inverse method, developed by the first author, is employed. Both the mode shape and the flexural rigidity are expressed as suitable polynomial functions. Generalization of the presented methodology to trigonometric functions is now underway and will be reported elsewhere.