Title: Simple mathematical model for piezoelectric coupled FGM plate subjected to dynamic studies

Authors: S.A. Patare; K.M. Bajoria

Addresses: Department of Civil Engineering, IIT Bombay, Mumbai, 400076, India ' Department of Civil Engineering, IIT Bombay, Mumbai, 400076, India

Abstract: Smart application of piezoelectric material is now well established through numerous studies. Piezoelectric material is used for sensing and monitoring purposes by coupling to the main structure with piezo effect of generating current upon application of stress. Functionally graded material posses smooth property transition between two different materials unlike laminated composite. Coupling of piezoelectric layers to plate of functionally graded material increases complexities from analysis point especially with analytical solution. The objective of the present study is to develop a simple mathematical model for free vibration analysis of a functionally graded plate which can be further employed for smart application of piezoelectric material. Plate theory used here is based on four variable approaches with two models with and without considering the effect of thickness stretching. To consider the combination of simply supported and clamped boundary conditions through analytical solution beam functions are used.

Keywords: functionally graded; smart piezoelectric material; free vibration; analytical solution.

DOI: 10.1504/IJSTRUCTE.2021.116520

International Journal of Structural Engineering, 2021 Vol.11 No.3, pp.245 - 269

Accepted: 01 Aug 2020
Published online: 27 Jul 2021 *

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