In this study, nonlocal nonlinear instability and the vibration of a double carbon nanotube (CNT) system have been investigated. The Visco-Pasternak model is used to simulate the elastic medium between nanotubes, on which the effect of the spring, shear and damping of the elastic medium is considered. Both of the CNTs convey a viscose fluid and a uniform longitudinal magnetic field is applied t...

in this paper, the stability characteristics of single-walled carbon nanotubes (swcnts) under the action of axial load are investigated. to this end, a nonlocal flügge shell model is developed to accommodate the small length scale effects. the analytical rayleigh-ritz method with beam functions is applied to the variational statement derived from the flügge-type buckling equations. molecular dy...

The free vibration response of double-walled carbon nanotubes (DWCNTs) is investigated. The DWCNTs are modelled as two beams, interacting between them through the van der Waals forces, and the nonlocal Euler-Bernoulli beam theory is used. The governing equations of motion are derived using a variational approach and the free frequencies of vibrations are obtained employing two different approac...

Carbon nanotubes are anticipated to have potential applications in nanosensor technology; however, their usage under various boundary conditions has not been thoroughly revealed. In this article, we are seeking for appropriate numerical models to bridge such a scientific gap for double-walled carbon nanotubes (DWCNTs) as nanomechanical sensors. Some nonlocal beam models are developed for explor...

The hysteretic behavior of many-particle systems with non-convex free energy can be modeled by nonlocal Fokker-Planck equations that involve two small parameters and are driven by a timedependent constraint. In this paper we consider the fast reaction regime related to Kramers-type phase transitions and prove that the dynamics in the small-parameter limit can be described by a rate-independent ...

Abstract In this present study, the nonlinear thermal-magneto-mechanical stability and vibration of branched nanotube conveying nano-magnetic fluid embedded in linear elastic foundations are analyzed. The governing equations established via Euler–Bernoulli theory, Hamilton’s principle, nonlocal theory elasticity. flow thermal behaviors nanofluid described using modified Navier–Stokes conservati...

This paper introduces the concept of nonlocal Acoustic Black Hole (ABH) metastructure and explores, via numerical analyzes, corresponding vibration attenuation performance. Building on basic ABH metastructure, which is a thin plate waveguide with embedded periodic grids ABHs, this work explores feasibility using intentionally introduced nonlocality to expand dynamic operating range absorbers. T...

Abstract The free and forced vibration of a graded geometrically nonlinear Timoshenko nanobeam supported by on foundation is considered in this paper. main contribution study to propose new formulation for the dynamic response beam combining nonlocal surface elasticity addition employing physical neutral axis method which eliminates quadratic nonlinearity from equation motion. Using principle v...