Bi-stability of FGM Cylindrical Shells with Piezoelectric Surface Layers

Abstract eng:
Snmmafl The condition for existence of bi-stability of FGM cylindrical shells with piezoelectric surface layers is formulated and analytical expressions for the rolled-up radii of the stable shells are derived by using the principle of minimum potential energy for the elastic shell system. The solution indicates that the system may have two stable states besides its initial state under an actuating electric field when the direction of polarization is along the direction of thickness of the piezoelectric layers. The magnitude in the electric field determines the number of the stable states. The present prediction for the bi-stable states is verified by FEM simulation. The results indicate that a larger magnitude in the electric field will cause a larger rolled-up radius for the first stable state and smaller one for the second stable state. However, a change in the constituent volume fraction exponent has no remarkable effect on the rolled-up radii.

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