Induced nonlocal electric wave propagation of boron nitride nanotubes

Arani, A. Ghorbanpour; Bidgoli, Ali Hafizi; Ravandi, Abbas Karamali; Roudbari, Mir Abbas; Amir, Saeed; Azizkhani, Mohammad Bagher

doi:10.1007/s12206-013-0705-7

Cited by 11 publications

(11 citation statements)

References 21 publications

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“…The radius of the SWCNT is R , the length is L and the thickness is t . In order to express the equation of equilibrium in terms of the mechanical and electrical components of displacement, the stress-strain relation for piezoelectric materials is given by [46][47][48][49][50][51][52][53]:…”

Section: Preliminary Formulationsmentioning

confidence: 99%

“…Likewise [C] and [ ] denote the elastic stiffness and stress-temperature coefficient matrices, respectively. The nonzero strain and displacement field appropriate to Rayleigh beam takes the form as [46][47][48][49][50][51][52][53]: According to the high-order nonlocal-strain gradient theory developed in Lim et al [28], the stress can be defined as:…”

Section: Preliminary Formulationsmentioning

confidence: 99%

“…(6) has been recently used widely for the study of micro-and nano-structure elements. Therefore, the bending moments within the SWCNT structure are peculiar to their local counterparts which are proposed as [28,[46][47][48][49][50][51][52][53]:…”

Section: Preliminary Formulationsmentioning

confidence: 99%

“…U , W and T are strain energy, work done by applied load and kinetic energy, respectively. The strain energy for SWCNT can be written as [46][47][48][49][50][51][52][53]:…”

Section: Preliminary Formulationsmentioning

confidence: 99%

“…The lateral forces of the elastic medium, which is simulated by Pasternak foundation, can be considered as applied forces which may be written as [46][47][48][49][50][51][52][53]:…”

Section: Preliminary Formulationsmentioning

confidence: 99%

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

Roudbari

Jorshari

2018

J Braz. Soc. Mech. Sci. Eng.

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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.

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Section: Preliminary Formulationsmentioning

confidence: 99%

Section: Preliminary Formulationsmentioning

confidence: 99%

Section: Preliminary Formulationsmentioning

confidence: 99%

“…U , W and T are strain energy, work done by applied load and kinetic energy, respectively. The strain energy for SWCNT can be written as [46][47][48][49][50][51][52][53]:…”

Section: Preliminary Formulationsmentioning

confidence: 99%

“…The lateral forces of the elastic medium, which is simulated by Pasternak foundation, can be considered as applied forces which may be written as [46][47][48][49][50][51][52][53]:…”

Section: Preliminary Formulationsmentioning

confidence: 99%

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