The Effect of Vander Waals Forces on Nonlinear Vibration of Embedded Smart DWBNNT Conveying Viscous Fluid

چکیده مقاله

This article presents Electro-thermo nonlinear vibration of viscous-fluid-conveying double–walled boron nitride nanotubes (DWBNNTs) based on nonlocal piezoelasticity theory and von Kármán geometric nonlinearity. BNNT is surrounded by elastic medium which is simulated as a Pasternak foundation. The adjacent layers interactions are assumed to have been coupled by van der Walls (vdW) force evaluated based on the Lennard-Jones model. In order to studied the effect of vdw interaction on dimensionless frequency( ) ( Im  ), “Euler– Bernoulli beam, Timoshenko beam and cylindrical shell” theories are used to obtain the nonlinear strain terms. The governing equations of motion are derived based on Hamilton principles. Using DQM, the derived motion equations were discretized, and solved to obtain the nonlinear frequency and critical fluid velocity with clamped boundary conditions. The obtained results might be useful for the design and improvement of nano devices.