In the present age smart materials are widely used in smart mechanical structure because of its unique properties. One of the most used smart materials is functionally graded piezoelectric materials. Now a days the use of functionally graded piezoelectric materials (FGPMs) is increasing highly in making actuator and sensor and many energy harvesting technique. In this scientific paper free vibration is analyzed for FGPM annular plate. Shear effect is produced by using d15 piezoelectric coupling coefficient. Piezoelectric coupling coefficient d15 has higher value in comparison to d31 or d33. D15 piezoelectric coupling is less used for application due to complex nature of shear vibration. So to utilize d15 effect and analysis of shear induced flexural vibration a three dimensional functionally graded piezoelectric plat is used. The annular FGPM plate is polarized in radial direction and piezoelectric plate is grounded in Z-direction along the thickness. Fixed –free boundary condition is used for obtain the result. Power law is used to vary material property. COMSOL multiphysics is used for obtain the result and plot mode shapes. This result will very helpful for researcher for developing present and new actuator and sensors.
D15 effect, Power law, Mode shapes, Shear-induced flexural vibration