Modeling, vibration, and stability of elastically tailored composite thin-walled beams carrying a spinning tip rotor

Abstract

The problems of the mathematical modeling, eigenvibration, and stability of cantilevered thin-walled beams carrying a spinning rotor at its tip are investigated. The structure modeled as a thin-walled beam encompasses nonclassical features such as anisotropy, transverse shear, and secondary warping, and in this context, a special ply-angle configuration inducing a structural coupling between flapping-lagging-transverse shear is implemented. The implications of combined gyroscopic effects and conservative force upon the free vibration and stability of this structural system are revealed and a number of pertinent conclusions are outlined. Among others, it is shown that the judicious implementation of the tailoring technique can yield dramatic enhancements of both the vibrational and stability behavior of the system.