Identification of external load and control of deformed state of an asymmetric trimorphic beam in unsteady modes

We consider the problem of identifying the time-variation law of an external pulse load acting on an asymmetric trimorphic electroelastic beam with simultaneous minimization of the deformed state of the beam. In this problem, one of the trimorph layers operates in the direct piezoelectric effect mode and the other in the inverse piezoelectric effect mode. The control is performed by exciting the actuating piezoelectric layer by an electric signal determined according to one of the proposed criteria. The solution is obtained by using the Laplace integral transform with respect to time. The desired variables are determined from a system of Volterra integral equations after analytically passing to the space of transforms. The computations are based on special regularizing algorithms. Numerical results are presented and analyzed.