Vibrations of double-nanorod-systems with defects using nonlocal-integral-surface energy-based formulations

Kiani, Keivan; Żur, Krzysztof Kamil

doi:10.1016/j.compstruct.2020.113028

Cited by 33 publications

(10 citation statements)

References 82 publications

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“…Babaei [26] examined the forced vibrations of nonlocal nanorods by applying external harmonic loading to the structure and reported the impact of the nonlocal parameter and the application of strain gradient theory on the time-domain response. A doublenanorod-system model with geometric defects was proposed by Zur and Kiani [27]. They analyzed the vibrations of the system by applying both nonlocal-integral elasticity theory and surface elasticity theory.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the vibration behavior of nano piezoelectric rod using surface effects and non-local elasticity theory

et al. 2023

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Due to the importance of the analysis of piezoelectric nanorods and their different conditions in engineering problems, in this research, for the first time, both nonlocal elasticity theory and surface energy theory have been used simultaneously to model the piezoelectric nanorod. the natural frequency values of the system have been extracted using the Galerkin weighted residual method. By applying an external excitation voltage, the forced vibrations of nonlocal nanorods with surface effects are presented. the results are reported for different vibrational modes, and the impact of different parameters such as dimensions, nonlocal parameters, and surface effects are investigated. the results of this study prove that the nonlocal elastic theory is more effective than the surface energy theory on the vibration behavior of piezoelectric nanorods. Also, the effect of piezoelectric properties is enhanced by the nano scaling of the rods.

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Section: Introductionmentioning

confidence: 99%

Investigation of the vibration behavior of nano piezoelectric rod using surface effects and non-local elasticity theory

et al. 2023

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“…Using the interaction coefficient, the van der Waals coefficient of double-walled carbon nanotube yielded the axial effect for doublenanorod in Aydogdu's model. Kiani and Żur [32] analysed the vibrational frequencies of double-nanorod systems with defects using nonlocal-integral-surface-energy models. In Aydogdu's [31] model, an erroneous mistake occurred as ρ instead of ρA 1 for the first nanotube.…”

Section: Introductionmentioning

confidence: 99%

Axial vibration of double-walled carbon nanotubes using double-nanorod model with van der Waals force under Pasternak medium and magnetic effects

Senthilkumar

2022

Vietnam J. Mech.

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The present study investigates the axial vibration of double-walled nanotubes. Using the nanorod continuum model with the van der Waals effect, the vibrational frequencies are studied. Aydogdu (Journal of Vibration and Control, Vol. 21, Issue 16, (2015), 3132-3154) proposed a reliable model for the study of axial vibration in a double-walled nanotube. This model provided a detailed investigation of axial vibration using van der Waals effects. But sometimes, the wrong equation might lead to erroneous scientific results. The incorrect term for axial vibration in the double-walled nanotube model is taken care of in the present study for the correct scientific inferences. Effectively, the axial vibrational frequencies appear without decoupling the continuum model as for primary and secondary nanotubes. The semi-analytical method estimates the axial vibrational frequencies of the double-walled nanotube as a coupled model. Two different boundary conditions like clamped-clamped and clamped-free support, are considered in this computation. The Pasternak medium support and magnetic effects influence the vibrational frequencies of the first and second nanotube for the first time. The Pasternak constant and magnetic parameters don't vary with the length of the nanotube for axial vibration. It means that still more understanding requires in modeling the Pasternak medium and magnetic force for the double-nanotube to model axial vibration.

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“…Some devices designed at small scales [1][2][3][4], such as nano-and micro-sensors, actuators, piezoelectric systems, and AFM indenters can be modeled as beams but require specific stress-strain relations to predict their mechanical behaviour. In this context, the paper proposes a stress-strain relation that is enriched with respect to the classic local elastic one.…”

Section: Introductionmentioning

confidence: 99%

Analytical Solutions of Viscoelastic Nonlocal Timoshenko Beams

et al. 2022

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A consistent nonlocal viscoelastic beam model is proposed in this paper. Specifically, a Timoshenko bending problem, where size- and time-dependent effects cannot be neglected, is investigated. In order to inspect scale phenomena, a stress-driven nonlocal formulation is used, whereas to simulate time-dependent effects, fractional linear viscoelasticity is considered. These two approaches are adopted to develop a new Timoshenko bending model. Analytical solutions and application samples of the proposed formulation are presented. Moreover, in order to show influences of viscoelastic and size effects on mechanical response, parametric analyses are provided. The contributed results can be useful for the design and optimization of small-scale devices exhibiting flexural behaviour.

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Vibrations of double-nanorod-systems with defects using nonlocal-integral-surface energy-based formulations

Cited by 33 publications

References 82 publications

Investigation of the vibration behavior of nano piezoelectric rod using surface effects and non-local elasticity theory

Investigation of the vibration behavior of nano piezoelectric rod using surface effects and non-local elasticity theory

Axial vibration of double-walled carbon nanotubes using double-nanorod model with van der Waals force under Pasternak medium and magnetic effects

Analytical Solutions of Viscoelastic Nonlocal Timoshenko Beams

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