OICC Press Journal of Solid Mechanics 2008-7683 9 5 2017 12 30 Viscous Fluid Flow-Induced Nonlocal Nonlinear Vibration of Embedded DWBNNTs 680 696 EN A Ghorbanpour Arani Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran--- Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran Z Khoddami Maraghi Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran R Kolahchi Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran M Mohammadimehr Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran Journal Article 2017 12 30 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.