Parametric Stability of Fiber Metal Laminate Cylindrical Shells Under Harmonic Axial Loads

In aerospace, due to the fluctuations of excitation sources such as the engine propulsion, there is a possibility of dynamic instability, which is a destructive phenomenon. In this paper, the dynamic stability of fiber-metal-laminate (FLM) cylindrical shells under a combinational loading of static and harmonic forces in axial direction is investigated using the Love theory for thin-walled shells. The development of a normal mode for motion equations leads to a system of Mathieu-Hill equations. The Bolotin’s method is used to determine the instability regions to solve the Mathieu-Hill equations. The effect of the metal-volume-fraction (MVF) parameter and FML configuration on the size and shape of the unstable areas is discussed. Verifications of the results is done by comparison with those existed in the literature. The results show that MVF and FML Configuration (Al/GFRP ۲/۱, ۳/۲, ۴/۳ and ۵/۴) are the two important parameters that drastically influence the dynamic stability behavior of the cylindrical shell.

کلیدواژه ها:

Fiber-Metal-Laminate (FML) ، Cylindrical Shell ، Dynamic Stability ، Love theory ، Mathieu-Hill equations