Free Vibrations of Flexoelectric FGM Conical Nanoshells with Piezoelectric Layers: Modeling and Analysis

Siros Khorshidi, Samad Chakouvari, Hassan Askari and Livija Cveticanin
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Siros Khorshidi: Department of Mechanical Engineering, Amirkabir University of Technology, Hafez Ave, Tehran 15875-4413, Iran
Samad Chakouvari: Department of Mechanical Engineering, University of Guilan, Rasht 41335-1914, Iran
Hassan Askari: Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, ON N2L3G1, Canada
Livija Cveticanin: Doctoral School of Safety and Security Sciences, Obuda University, Nepszinhaz u. 8, H-1081 Budapest, Hungary

Energies, 2022, vol. 15, issue 9, 1-17

Abstract: Flexoelectric and piezoelectric effects have attracted the attention of researchers, owing to their applications in sensing systems and actuators. In this paper, the vibration of functionally graded material (FGM) conical nanoshell is studied, taking into account both piezoelectricity and flexoelectricity. The nanoshell has a sandwich-type structure with a FGM core and two layers of piezoelectric materials on its top and bottom. With the combination of the first order shear deformation and Eringen’s nonlocal theories, the vibration equation of the nanoshell is developed. In order to study the governing equations and the frequency of vibrations of nanoshell, the generalized differential quadrature method is implemented. Based on the developed numerical solution procedure, the effect of different parameters, such as flexoelectricity, piezoelectricity, nonlocal term and Pasternak foundation, are shown on the vibrations of conical nanoshell. The presented analysis provides a better insight into the behavior of conical nanoshells, which are highly applicable in bio-sensing and optical devices.

Keywords: vibrations; nanoshell; flexoelectricity; piezoelectricity (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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