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ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

Non-classical Natural Frequency Analysis of Piezoelectric Cylindrical Nano-shell with Surface Energy Effects

Journal of Vcibration Testing and System Dynamics 3(3) (2019) 237--258 | DOI:10.5890/JVTSD.2019.09.001

Sayyid H. Hashemi Kachapi

Department of Mechanical Engineering, Babol Noshirvani University of Technology, P.O. Box 484, Shariati Street, Babol, Mazandaran 47148-71167, Iran

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Abstract

In this paper, the size-dependent effect on the free vibration analysis of cylindrical piezoelectric nano-shell with arbitrary boundary conditions is studied. The cylindrical piezoelectric nano-shell is modeled based on Gurtin-Murdoch surface elasticity theory and the linear Von-Karman- Donnell’s strain-displacement. Also, the assumed mode method is used for changing the partial differential equations into ordinary differential equations. A variety of new vibration results including frequencies and mode shapes for piezoelectric cylindrical nano-shell with non-classical restraints as well as different material parameters are presented, which may serve as benchmark solution for future researches. The convergence, accuracy and reliability of the current formulation are validated by comparisons with existing experimental and numerical results published in the literature, with excellent agreements achieved.

Acknowledgments

‘This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors’.

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