Buckling analysis of nanobeams with exponentially varying stiffness by differential quadrature method

Chakraverty, Snehashish; Behera, Laxmi

doi:10.1088/1674-1056/26/7/074602

Cited by 10 publications

(2 citation statements)

References 47 publications

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“…[1,2] They were widely applied to nanoelectromechanical systems (NEMS). [3] Nanostructures, such as nanoparticles, [4] nanobeams, [5,6] nanowires, [7] nanofilms, [8] and nanotubes, [9] are significantly different from bulk structures in mechanics.…”

Section: Introductionmentioning

confidence: 99%

Rolling structure from bilayer nanofilm by mismatch

Geng

Gao

et al. 2023

Chinese Phys. B

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A continuum theoretical scheme for self rolled-up nanotubes from bilayers by mismatch was obtained by considering surface elasticity, surface stress and symmetry lowering effects. For an ultrathin nanofilm with only several nanometers, isotropic mismatch and isotropic surface stress usually induce anisotropic rolling behavior. The isotropic Timoshenko formula should be modified anisotropically to interpret the mechanical behavior of anisotropic rolling structure of nanotubes accurately. The nanofilm rolled up in tangential direction while remain straight in cylindrical direction theoretically. Therefore, this paper considered the anisotropic shape of nanotubes. Along cylindrical direction, although it maintains straight and its residual strain is uniform, the stress varies through radial direction due to the Poisson’s effect of tangential strain. The applications of current theory to Si-Si nanotube, InAs-GaAs nanotube and InGaAs-Cr nanotube systems showed good agreement with experimental data. Besides surface elasticity and surface stress effects, the symmetry breaking and the anisotropic rolling structure are also of great importance in theoretical description of mechanical behavior of rolled-up nanotubes.

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Section: Introductionmentioning

confidence: 99%

Rolling structure from bilayer nanofilm by mismatch

Geng

Gao

et al. 2023

Chinese Phys. B

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“…Based on the dynamic stiffness method, Banerjee and Jackson [10] investigated the free vibration characteristics of the rotating cone-shaped Rayleigh beam and analyzed the effects of the viscosity-elasticity rate on the free vibration characteristics of the rotating conical Rayleigh beam. Based on Euler-Bernoulli, Timoshenko, Reid, and Levison's four different beam theories, Chakraverty and Behera [11] used the DQM to investigate the buckling of nanobeams and analyzed the effects of nonlocal parameters, aspect ratio, boundary conditions, and nonuniform parameters on the critical buckling load parameters.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Complex Modal Characteristics of Fractional Derivative Viscoelastic Rotating Beams

Wang

Liu

2019

Shock and Vibration

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For the transverse vibration problem of a fractional derivative viscoelastic rotating beam, the differential equation of the system is obtained based on the Euler-Bernoulli beam theory and Hamilton principle. en, introducing dimensionless quantities to differential equations and boundary conditions, the generalized complex eigenvalue equations of the system are obtained by the differential quadrature method. e effects of the slenderness ratio, the viscoelastic ratio, the hub radius-beam length ratio, and dimensionless hub speed and fractional order on the vibration characteristics of fractional derivative viscoelastic rotating beams are discussed by numerical examples. Numerical calculations show that when the dimensionless hub speed is constant, the real part of complex frequency increases with the increase of the fractional order, and the higher-order growth trend is more obvious.rough the study of displacement response at different points on the beam, it can be seen that the closer to the free end, the larger the response amplitude. And, the amplitude of response has been attenuated, which is also consistent with the vibration law of free vibration considering damping.

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Vibration Analysis of Nonuniform Single-Walled Carbon Nanotube Resting on Winkler Elastic Foundation Using DQM

Jena

Chakraverty

2019

Lecture Notes in Mechanical Engineering

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Buckling analysis of nanobeams with exponentially varying stiffness by differential quadrature method

Cited by 10 publications

References 47 publications

Rolling structure from bilayer nanofilm by mismatch

Rolling structure from bilayer nanofilm by mismatch

Analysis of Complex Modal Characteristics of Fractional Derivative Viscoelastic Rotating Beams

Vibration Analysis of Nonuniform Single-Walled Carbon Nanotube Resting on Winkler Elastic Foundation Using DQM

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