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Vibrational response of functionally graded circular plate integrated with piezoelectric layers: An exact solution

In this paper, harmonic forced vibration of circular functionally graded plate integrated with two uniformly distributed actuator faces made of piezoelectric material is studied. | Nội dung Text Vibrational response of functionally graded circular plate integrated with piezoelectric layers An exact solution Engineering Solid Mechanics 2 2014 119-130 Contents lists available at GrowingScience Engineering Solid Mechanics homepage www.GrowingScience.com esm Vibrational response of functionally graded circular plate integrated with piezoelectric layers An exact solution A. A. Jandaghiana A. A. Jafarib and O. Rahmania a Smart Structures and New Advanced Materials Laboratory Mechanical Engineering Department University of Zanjan Zanjan Iran b Faculty of Mechanical Engineering K. N. Toosi University of Technology Tehran. Iran ART ICLE INFO ABSTRACT Article history In this paper harmonic forced vibration of circular functionally graded plate integrated with Received September 20 2013 two uniformly distributed actuator faces made of piezoelectric material is studied. The material Received in Revised form properties of the functionally graded substrate layers are assumed to be graded in the thickness October 14 2013 direction according to the power-law distribution also the distribution of electric potential field Accepted 30 January 2014 Available online along the thickness direction of piezoelectric layers is modeled by a quadratic function. The 31 January 2014 governing equations are solved for simply supported boundary condition of the sandwich Keywords circular plate and the solutions are presented by elementary Bessel functions. The performance Functionally graded material of the present model is compared with that of finite element analyses as well as other available Piezoelectric literature by the presentation of comparative results obtained for several examples Circular plate encompassing different power indexes and vibration modes. The results show that thickness of Classical plate theory piezoelectric layer and changing the power index in FG material has a significant influence on Forced vibration the deflection and natural frequencies of .