Coupled Vibration Analysis of Rotating Composite Laminated Beams in Hygrothermal Environment Using the Green’s Function Method

Abstract

This paper is concerned with coupled vibration of rotating composite laminated beams under hygrothermal environment. The governing equations of the coupled vibration of the beams considering hygrothermal effects and rotating motion are derived on the base of d’Alembert principle. Green’s function method is adopted to obtain the flapwise-edgewise coupled vibration characteristics of the beams. Then, a comprehensive parametric study on natural frequencies of flapwise and edgewise bending vibrations is numerically performed. Results indicate that the flapwise-edgewise coupling factors are essential for the vibration analysis of the high-speed rotating structures. Temperature variation, moisture concentration, rotating speed, and design parameters have a significant influence on the coupled vibration characters of the beams, and thermal expansion deformation is nonnegligible in the coupled vibration analysis.