Dynamic Behavior of Multi-Layered Viscoelastic Nanobeam System Embedded in a Viscoelastic Medium with a Moving Nanoparticle

Hosseini-Hashemi, Shahrokh; Khaniki, Hossein Bakhshi

doi:10.1017/jmech.2016.91

Cited by 37 publications

(6 citation statements)

References 27 publications

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“…In 2016, Ghafarian and Ariaei [31] used differential transform method (DTM) to study free vibration of a multiple rotating nonlocal Euler-Bernoulli nanobeam system and investigated the effects of the nonlocal parameter, rotational speed, boundary conditions, hub radius on vibration behavior of rotating multiple carbon nanotube/beam system. In 2017, Hashemi and Khaniki [32] studied dynamic behavior of multi-layered viscoelastic nanobeam resting on Kelvin-Voigt viscoelastic medium with a moving nano-particle. They used Eringen's nonlocal theory to model the small-scale effects and employed Laplace transform method to solve the governing differential equations.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of 2D-functionally graded multiple nanobeam system by meshless method

Ahmadi,

Davarpanah,

Sladek

et al. 2023

Preprint

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In this study, the free vibration of two-directional functionally graded (2D-FG) multiple nanobeam system are studied by considering Winkler elastic medium between each nanobeam. Effects of small-scale are considered using the theory of nonlocal elasticity. The material properties of the FG nanobeams are considered to vary over the length and thickness of the nanobeams. The equations of motion are derived using Hamilton's principle and the first order shear deformation beam theory (FSDBT), and a meshless formulation is developed to discreteze the governing equations. Numerical results are obtained for both cases of free-chain and clamped-chain multiple nanobeam system (MNBS). In order to validate the accuracy of the meshless formulation, numerical results for free vibration of 1D-FG single nanobeam are compared with the predictions of various beam theories and solution approaches. Also, free vibration of homogeneous double nanobeam system is analyzed and good agreement is observed while comparing these results with analytical solutions. In the numerical results, the effects of nonlocal parameter, slenderness ratio, power FG indices, elastic medium stiffness, number of nanobeams, boundary conditions and concentrated mass on the free vibration of 1D- and 2D-FG single and multiple nanobeam system are investigated.

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Section: Introductionmentioning

confidence: 99%

Vibration analysis of 2D-functionally graded multiple nanobeam system by meshless method

Ahmadi,

Davarpanah,

Sladek

et al. 2023

Preprint

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“…Li et al [72] applied the method of generalized differential quadrature to rigorously solve the bending, buckling and vibrational problems of AFG beams, accounting for nonlocal strain gradient theoretical assumptions. Moreover, Khaniki et al [73][74][75][76][77][78][79][80] published several important contributions elated to the static, vibrational and buckling analysis of small-size beams with a constant or variable cross-section, made of homogenous and/or FGMs. A finite element approach was recently developed by Koutoati [81] to assess the static and free vibrations of multilayer composites and FG beams by means of different shear deformation beam theories.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal Analysis of the Flexural–Torsional Stability for FG Tapered Thin-Walled Beam-Columns

et al. 2021

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This paper addresses the flexural–torsional stability of functionally graded (FG) nonlocal thin-walled beam-columns with a tapered I-section. The material composition is assumed to vary continuously in the longitudinal direction based on a power-law distribution. Possible small-scale effects are included within the formulation according to the Eringen nonlocal elasticity assumptions. The stability equations of the problem and the associated boundary conditions are derived based on the Vlasov thin-walled beam theory and energy method, accounting for the coupled interaction between axial and bending forces. The coupled equilibrium equations are solved numerically by means of the differential quadrature method (DQM) to determine the flexural–torsional buckling loads associated to the selected structural system. A parametric study is performed to check for the influence of some meaningful input parameters, such as the power-law index, the nonlocal parameter, the axial load eccentricity, the mode number and the tapering ratio, on the flexural–torsional buckling load of tapered thin-walled FG nanobeam-columns, whose results could be used as valid benchmarks for further computational validations of similar nanosystems.

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“…An analytical method is introduced by Simsek to study the forced vibration of an elastically connected double-nano-beam system subject to moving nanoparticles where the nonlocal theory is applied to govern the equation of motion [18]. Multilayered nano-beam systems are considered in studies run by Hashemi and Khaniki, where the nonlocal theory of Eringen and Euler-Bernoulli beam theories are adopted to assess the forced vibration of the system subject to a moving nanoparticle [19,20]. Considering surface effects, Rahmani et al [21] studied the forced vibration of an elastically connected double-nanotube system subject to a moving nanoparticle, where the nanoparticle velocity, the elastic layer and the nonlocal parameter effects on the dynamical behavior of the system are assessed.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration analysis of an elastically connected double-non-classical Timoshenko microbeam subject to moving particle based on the modified couple stress theory

Hadian

Torabi

Jazi

2020

J Braz. Soc. Mech. Sci. Eng.

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In this article, the nonlinear transverse vibration of an elastically connected double microbeam system carrying a moving particle is assessed based on the modified couple stress and non-classical Timoshenko beam theories. Hamilton's principle is applied to develop the motion equations and corresponding boundary conditions, and the Galerkin method is used to solve these equations. The numerical study reveals that the nonlinear and modified couple stress theories predict a stiffer system than the linear and classical theories do. A parametric study is run to determine the different parameters' influence like the aspect ratio, the stiffness modulus of the elastic layer and the velocity of the moving particle, on the dynamic response of the system. The results show that the aspect ratio has a significant effect on the dynamic response of the system, indicating that the classical theory cannot predict the dynamic behavior of micro-size beam systems. The elastic layer stiffness modulus and the velocity of the moving particle have considerable effects on the dynamic deflections of the double-microbeam system.

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Dynamic Behavior of Multi-Layered Viscoelastic Nanobeam System Embedded in a Viscoelastic Medium with a Moving Nanoparticle

Cited by 37 publications

References 27 publications

Vibration analysis of 2D-functionally graded multiple nanobeam system by meshless method

Vibration analysis of 2D-functionally graded multiple nanobeam system by meshless method

Nonlocal Analysis of the Flexural–Torsional Stability for FG Tapered Thin-Walled Beam-Columns

Nonlinear vibration analysis of an elastically connected double-non-classical Timoshenko microbeam subject to moving particle based on the modified couple stress theory

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