Structural Engineering and Mechanics

Volume 76, Number 5, 2020, pages 619-629

DOI: 10.12989/sem.2020.76.5.619

Fluid-conveying piezoelectric nanosensor: Nonclassical effects on vibration-stability analysis

Sayyid H. Hashemi Kachapi

Abstract

In current study, surface/interface effects for pull-in voltage and viscous fluid velocity effects on dimensionless natural frequency (DNF) of fluid-conveying piezoelectric nanosensor (FCPENS) subjected to direct electrostatic voltage DC with nonlinear excitation, harmonic force and also viscoelastic foundation (visco-pasternak medium and structural damping) are investigated using Gurtin–Murdoch surface/interface (GMSIT) theory. For this analysis, Hamilton’s principles, the assumed mode method combined with Lagrange–Euler’s are used for the governing equations and boundary conditions. The effects of surface/interface parameters of FCPENS such as Lame’s constants (λ<sup>I,S</sup>, μ<sup>I,S</sup>), residual stress (τ<sub>0</sub><sup>I,S</sup>), piezoelectric constants (e<sub>31p</sub><sup>sk</sup>,e<sub>32p</sub><sup>sk</sup>) and mass density (ρ<sup>I,S</sup>) are considered for analysis of dimensionless natural frequency respect to viscous fluid velocity ū<sub>f</sub> and pull-in voltage V̅<sub>DC</sub>.

Key Words

pull-in voltage; viscous fluid velocity; dimensionless natural frequency; piezoelectric nanosensor; Gurtin– Murdoch surface/interface theory; electrostatic force, harmonic excitation

Address

Department of Mechanical Engineering, Babol Noshirvani University of Technology, Shariati Street, Babol, Mazandaran 47148-71167, Iran

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