Dynamic analysis of FGPM (Functional Graded piezoe lectric Material) beams under Mechanical and Electrical Loading

Recently, considerable interest is the use of smart structures. The particulars smart structures are get information from the structure position and control ability from the information. Sen-sors is a devices for information receipt and actuator is a devices that using for control. The piezoelectric sensors and piezoelectric actuators has excellent particulars, in the kinds of the smart structures. In this study, using finite element approach based on two dimensional theo-ry of elasticity, force vibration of functionally graded piezoelectric beam under different sets of mechanical and electrical loading is investigated. Mechanical, electrical and electrome-chanical properties are following power low distribution through the thickness. By employing Hamilton's energy principle governing equation are obtained, and by applying two dimen-sional finite elements the equations are solved for two state, sensors and actuator. Also with using Newmark-beta method investigated response dynamics in time domain and frequency spectrum of Fast Fourier transform method is used in frequency domain. The effect of vari-ous parameters such as volume fraction indices, boundary conditions and slender ratio on the dynamic response and natural frequencies of the beam has been studied. The results show that changing any of these parameters have a significant impact on the dynamic response and natural frequencies of the functionally graded piezoelectric beam.

کلیدواژه ها:

Functionally graded ، piezoelectric material ، two dimensional theory of elasticity ، Dynamic analysis ، Finite Element Method