Viscous Fluid Flow-Induced Nonlocal Nonlinear Vibration of Embedded DWBNNTs

Journal of Solid Mechanics

مقاله 1، دوره 9، شماره 4، اسفند 2017، صفحه 680-696   

نوع مقاله: Research Paper

نویسندگان

A Ghorbanpour Arani^{* 1}؛ Z Khoddami Maraghi²؛ R Kolahchi²؛ M Mohammadimehr²

¹Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran--- Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran

²Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran

چکیده

In this article, electro-thermo nonlocal nonlinear vibration and instability of viscous-fluid-conveying double–walled boron nitride nanotubes (DWBNNTs) embedded on Pasternak foundation are investigated. The DWBNNT is simulated as a Timoshenko beam (TB) which includes rotary inertia and transverse shear deformation in the formulation. Considering electro-mechanical coupling, the nonlinear governing equations are derived using Hamilton’s principle and discretized based on the differential quadrature method (DQM). The lowest four frequencies are determined for clamped-clamped boundary condition. The effects of dimensionless small scale parameter, elastic medium coefficient, flow velocity, fluid viscosity and temperature change on the imaginary and real components of frequency are also taken into account. Results indicate that the electric potential increases with decreasing nonlocal parameter. It is also worth mentioning that decreasing nonlocal parameter and existence of Winkler and Pasternak foundation can enlarge the stability region of DWBNNT.

کلیدواژه‌ها

Nonlinear vibration and instability؛ DWBNNTs؛ Pasternak foundation؛ Conveying viscous fluid؛ Piezoelasticity theory

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