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Advances in Nano Research
  Volume 9, Number 4, November 2020 , pages 277-294

Nonlinear and nonclassical vibration analysis of double walled piezoelectric cylindrical nanoshell
Sayyid H. Hashemi Kachapi

    In current paper, nonlocal (NLT), nonlocal strain gradient (NSGT) and Gurtin-Murdoch surface/interface (GMSIT) theories with classical theory (CT) are utilized to investigate vibration and stability analysis of Double Walled Piezoelectric Nanosensor (DWPENS) based on cylindrical nanoshell. DWPENS simultaneously subjected to direct electrostatic voltage DC and harmonic excitations, structural damping, two piezoelectric layers and also nonlinear van der Waals force. For this purpose, Hamilton's principle, Galerkin technique, complex averaging and with arc-length continuation methods are used to analyze nonlinear behavior of DWPENS. For this work, three nonclassical theories compared with classical theory CT to investigate Dimensionless Natural Frequency (DNF), pull-in voltage, nonlinear frequency response and stability analysis of the DWPENS considering the nonlocal, material length scale, surface/interface (S/I) effects, electrostatic and harmonic excitation.
Key Words
    double walled piezoelectric nanosensor; Gurtin-Murdoch surface/interface; nonlocal strain gradient theory; nonlinear frequency response; complex averaging method; arc-length continuation
(1) Sayyid H. Hashemi Kachapi:
Department of Mechanical Engineering, Babol Noshirvani University of Technology, P.O. Box 484, Shariati Street, Babol, Mazandaran47148-71167, Iran

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