Longitudinal vibration of cracked nanobeams using nonlocal elasticity theory

Hsu, Jung-Chang; Lee, Haw-Long; Chang, Win−Jin

doi:10.1016/j.cap.2011.04.026

Cited by 56 publications

(23 citation statements)

References 15 publications

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“…The use of nonlocal elasticity in the mechanical analysis of nanostructures is extensively reported in the literature. 13,[16][17][18][19][20][21][22][23][24][25][26][27][28][29] Magnetic field effects in nanotubes and nanoplates (graphene) are important for exciting potential applications in nanotechnology such as in nanoelectromechanical systems (NEMS), microelectromechanical systems (MEMS), nanosensors, spintronics, and nanocomposites. In recent years, research interest has grown on studying the magnetic properties of nanotubes and behaviour of nanotubes within a magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal elasticity based magnetic field affected vibration response of double single-walled carbon nanotube systems

Murmu

McCarthy

Adhikari

2012

Journal of Applied Physics

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The behaviour of carbon nanotubes in a magnetic field has attracted considerable attention in the scientific community. This paper reports the effects of a longitudinal magnetic field on the vibration of a magnetically sensitive double single-walled carbon nanotube system (DSWNTS). The two nanotubes of the DSWNTS are coupled by an elastic medium. The dynamical equations of the DSWNTS are derived using nonlocal elasticity theory. The two nanotubes are defined as an equivalent nonlocal double-Euler-Bernoulli beam system. Governing equations for nonlocal bending-vibration of the DSWNTS under a longitudinal magnetic field are derived considering the Lorentz magnetic force obtained from Maxwell's relation. An analytical method is proposed to obtain nonlocal natural frequencies of the DSWNTS. The influence of (i) nanoscale effects and (ii) strength of longitudinal magnetic field on the synchronous and asynchronous vibration phase of the DSWNTS is examined. Nonlocal effects with and without the effect of magnetic field are illustrated. Results reveal the difference (quantitatively) by which the longitudinal magnetic field affects the nonlocal frequency in the synchronous and asynchronous vibration modes of a DSWNTS. V C 2012 American Institute of Physics. [http://dx

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Section: Introductionmentioning

confidence: 99%

Nonlocal elasticity based magnetic field affected vibration response of double single-walled carbon nanotube systems

Murmu

McCarthy

Adhikari

2012

Journal of Applied Physics

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“…(36)(37)(38) may be written as The obtained analytical expression of the critical damping rations is function of the material parameters of nanorods and independent of boundary condition and chain systems, for the case when the number of nanorods and the number of modes tends to the infinite.…”

Section: Asymptotic Analysismentioning

confidence: 99%

“…The authors studied the influence of small-scale (nonlocal) parameter and stiffness of the layer on axial wave propagation. Hsu et al [38] investigated the longitudinal frequencies of cracked nanobeams for different boundary conditions and using the theory of nonlocal elasticity. A wide study of the longitudinal, transversal and torsional vibration and instability was conducted by Kiani [39] for a system of SWCNTs.…”

Section: Introductionmentioning

confidence: 99%

Vibration insight of a nonlocal viscoelastic coupled multi-nanorod system

Karličić

Kozić

Murmu

et al. 2015

European Journal of Mechanics - A/Solids

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“…They studied the torsional vibration based on nonlocal elasticity theory [Murmu et al, 2011]. In addition, Chang et al investigated the longitudinal vibration of cracked nanobeams using the nonlocal elasticity theory [Hsu et al, 2011].…”

Section: Introductionmentioning

confidence: 99%

Torsional Vibration of Cracked Nanobeam Based on Nonlocal Stress Theory with Various Boundary Conditions: An Analytical Study

Rahmani

Hosseini

Moghaddam

et al. 2015

Int. J. Appl. Mechanics

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In this paper, the torsional vibration of cracked nanobeam was studied based on a nonlocal elasticity theory. The location of the crack is simulated by a torsional spring which links segments of nanobeam together. Also, different boundary conditions, including clamped-free, clamped-clamped and clamped-torsional spring, were considered. Furthermore, a detailed parametric study was conducted to investigate the influence of crack location, nonlocal parameter, length of nanobeam, spring constant and end supports on the torsional vibration.

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Longitudinal vibration of cracked nanobeams using nonlocal elasticity theory

Cited by 56 publications

References 15 publications

Nonlocal elasticity based magnetic field affected vibration response of double single-walled carbon nanotube systems

Nonlocal elasticity based magnetic field affected vibration response of double single-walled carbon nanotube systems

Vibration insight of a nonlocal viscoelastic coupled multi-nanorod system

Torsional Vibration of Cracked Nanobeam Based on Nonlocal Stress Theory with Various Boundary Conditions: An Analytical Study

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