Stability analysis of an axially moving thin wall conical shells made of shape memory alloy

The current paper presents the free vibration characteristic of axially moving conical shells made of shape memory alloy based on Donnell’s shell theory. The material behavior is simulated based on the Boyd-Lagoudas model. By applying the suitable airy function, the strain compatibility equation, and the Galerkin method, two sets of equations of motion are obtained. The compatibility equation is solved by using the steady-state form of equations and employing the suitable flexural mode shape concerning radial displacement. The effects of moving in the axial direction and using the SMA are investigated with the aid of the frequency responses curves. The phase transformation would decrease the quantity of the critical velocity. The results have been evaluated by means of the available data.