The forced induced vibrations of a piezolaminated elastic beam, being driven by time harmonic voltages applied to the actuators on top and bottom surfaces, is analysed using an exact elasticity solution. The analysis is carried out using the method of Fourier series and the solution is exact within the assumptions of linear elasticity and plane strain deformation. Numerical results are computed for various configurations of sandwich and laminated beams, including an aluminum beam with actuators fixed to top and bottom surfaces. To show the capability of the elasticity solution, the static shape of laminated beams due to the piezoelectric induced strains are calculated and compared with approximate existing results.
展开▼