Computational characteristics of an exponentially functionally graded piezoelectric beam

• Published in: International journal on interactive design and manufacturing 2024-05, Vol.18 (4), p.1989-1995
• Main Authors: Sharma, Pankaj, Gupta, Barkha, Rathore, S. K., Khinchi, Ashish, Gautam, Mrinal
• Format: Article
• Language: English
• Subjects: Boundary conditions; CAE) and Design; Cantilever beams; Clamping; Computer-Aided Engineering (CAD; Electronics and Microelectronics; Engineering; Engineering Design; Exponential functions; Functionally gradient materials; Generalized differential quadrature method; Industrial Design; Instrumentation; Mechanical Engineering; Original Paper; Probability distribution functions; Quadratures; Resonant frequencies; Shear strain
• ISSN: 1955-2513; 1955-2505
• DOI: 10.1007/s12008-022-00905-1

The computational attributes of an exponentially functionally graded piezoelectric material (EFGPM) beam are investigated. In this study, the width of the beam is varying in the axial direction in accordance with an exponential function. Further, all electromechanical properties are varied according to an exponential distribution rule. The generalized differential quadrature method is employed to assess the fundamental frequencies of the EFGPM beam. It can be seen that the fundamental frequency increases with an increase in the thickness of the beam for the exponent parameters (Υ = −0.6, 0.6) under both the boundary conditions. It can be revealed that fundamental frequency decreases when the exponent index lies in the range from −1 to 0. While it increases when the exponent index lies from 0 to 1 under the clamped–clamped boundary condition. Under the clamped-free condition, the fundamental frequency reduces with an increase in the exponent index.