Boundary transition of a piezolaminated beam with large feedback voltages

Distributed control of a cantilever beam using a fully distributed piezoelectric layer has been a classical problem for years. In general, the equivalent actuation is introduced at the free end of the cantilever beam, and the control action is equivalent to an (electric) counteracting moment. The control effect is proportional to the feedback voltage, if the system is considered linear. If the feedback voltage is continuously increased, what would happen to the cantilever beam was not investigated. In this study, nonlinear control effects and boundary transition of the cantilever beam with large feedback voltages are studied. Analytical solutions are compared with finite element simulations.