Vibrational control scrutiny of physically affected SWCNT acted upon by a moving nanoparticle in the framework of nonlocal–strain gradient theory

Abstract

The possibility of moving drug materials into the intelligent nano-materials such as nanotubes such as set of DNA or RNA molecules to change the behavior of cells is an important problem in the nano-medicine science. This paper deals with vibrational control of magnetically thermally affected single-walled carbon nanotube (SWCNT) under a moving nanoparticle using the nonlocal-strain gradient theory based on the Rayleigh beam model. The elastic medium is modeled as Pasternak substrate. A gain matrix with time-varying behaviors and displacement-velocity feedback in the framework of linear classical optimal control procedure is used to suppress the vibration responses of the SWCNT. Hamilton, Galerkin and Newmark time integration principles are jointly utilized to ascertain the equations of motion. The influences of the nonlocal and material length-scale parameters, the velocity of nanoparticle and physical fields on the vibration behavior of the SWCNT are explored. Likewise, a specified control algorithm in suppressing the vibrational behavior of SWCNT under the effect of moving nanoparticle is examined.

A Review on the Mechanical Behavior of Size-Dependent Beams and Plates using the Nonlocal Strain-Gradient Model

“…He examined the effects of the stiffnesssoftening/hardening behavior to scrutinize the mechanical features of the proposed model. Roudbari and Doroudgar Jorshari [93] analyzed the control behavior of SWCNT acted upon by a moving nanoparticle using the nonlocal strain-gradient as well as the Rayleigh beam theories with consideration of thermal and magnetic influences. They proved that the PZT patches as bio/nano-sensors can be connected to a charge amplifier for actuating the SWCNT which can be shown in Figure 3.…”

Nonlinear vibration of fluid conveying cantilever nanotube resting on visco‐pasternak foundation using non‐local strain gradient theory

“…Considering the internal damping for viscoelastic nanotube, based on the Kelvin‐Voigt viscoelastic model the part can be substituted with where g is the material damping coefficient. Consecutively, (1) is rewritten as [20–23, 30, 33] Fig. 1 represents the system of fluid conveying nanotube resting on visco‐pasternak substrate, exposed to excitation in magnetic field.…”

“…Closed-form expressions were obtained for the large-amplitude vibration by Askari et al [19] using Galerkin method. Besides effects of moving nanoparticle on dynamic response of nanotubes were analysed by Arani and Roudbari [20] and Roudbari et al [21][22][23].…”

A review of size-dependent continuum mechanics models for micro- and nano-structures

“…Some researchers studied the integral-based nonlocal theory instead of differential models. Because of some limitations peculiar to differential forms of the nonlocal theory in modeling structures under static and dynamic analysis, some new models were defined such as integral forms of the nonlocal theory and the combination of this theory with micro-structure models [53][54][55][56][57][252][253][254][255][256][257][258][259][260][261][262][263][264][265][266][267][268][269][270][271].…”