Three-dimensional free vibration analysis of functionally Graded curved panels integrated with piezoelectric layers

Free vibration analysis of functionally graded (FG) curved panels integrated with piezoelectric layers for simply supported boundary conditions are studied. Model of material properties variations based on the power law distribution in terms of the volume fractions of the constituents through the thickness are considered. Based on theory of elasticity, an approach combining the state space method and the differential quadrature method (DQM) is used. For the simply supported boundary conditions, closed-form solution is given by use of Fourier series expansion, applying the differential quadrature method to the state space formulations along the axial direction. New state equations for state variables at discrete points are obtained Natural frequencies of the hybrid-curved panels are presented by solving the Eigen frequency equation. The accuracy and convergence of the present approach are verified by comparing the natural frequencies with the results obtained in literatures. Finally, the effects of mid-radius to thickness ratio and length to mid-radius ratio on vibration behavior of hybrid curved panel are investigated.

کلیدواژه ها:

Vibration analysis ، Differential quadrature method ، Functionally graded material ، Piezoelectric