Free vibration analysis of nano-plate in viscous fluid medium using nonlocal elasticity

Hosseini-Hashemi, Shahrokh; Arpanahi, Reza Ahmadi; Rahmanian, Sasan; Ahmadi-Savadkoohi, A.

doi:10.1016/j.euromechsol.2019.01.002

Cited by 37 publications

(11 citation statements)

References 26 publications

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“…In this study, the vibrational equations of the piezoelectric nanorod are solved using the Galerkin weighted residual method [38]. By considering clamped-free and clamped-clamped conditions at the ends of the rod, the displacements are written as…”

Section: Galerkin Methodsmentioning

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: Galerkin Methodsmentioning

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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“…Hosseini Hashemi et al. [48] showed that the vibrational behaviour of nano plates in stationary fluid environment is different from vacuum.…”

Section: Introductionmentioning

confidence: 99%

“…Civalek et al [47] presented a size-dependent stability study of a restrained FGM nano Euler-Bernoulli beam. Hosseini Hashemi et al [48] showed that the vibrational behaviour of nano plates in stationary fluid environment is different from vacuum.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the effect of viscosity and fluid flow on buckling behaviour of non‐local nanoplate with surface energy

Arpanahi,

Abdehvand,

Sheykhi

et al. 2023

The Journal of Engineering

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The buckling of a nanoplate at the bottom of a channel over which the fluid passes with a one-dimensional flow is investigated in this article. Navier-Stokes equations were used to obtain the applied force from the fluid to the nanoplate. Non-local elasticity theories and surface effects were used to consider nanoscale effects. By solving this problem using Galerkin's weighted residual method, interesting results were obtained. Applying nonlocality increases the fluid's impact on the buckling of a nanoplate. The lower modes are more noticeably affected by being placed in a fluid environment. Also, the presence of fluid and surface effects both increase the buckling capacity of the system. The obtained results are very helpful for developing and improving the performance of fluid-coupled nanostructures that have buckling potential.

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“…Extensive analyses for the vibration of homogeneous plate structures in fluid environment have been carried out due to its wide applications in ocean engineering, biomedical engineering, and aerospace engineering. In these research works, different fluid properties including the compressible and incompressible fluid [37][38][39][40], viscid and inviscid fluid [41][42][43][44], are considered. Up to date, most studies on the plate-fluid coupling system mainly focused on the ideal fluid for the purpose of simplifying the theoretical analysis procedures.…”

Section: Introductionmentioning

confidence: 99%

Free vibration of FGM Mindlin plates submerged in fluid

et al. 2022

Engineering Structures

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Free vibration analysis of nano-plate in viscous fluid medium using nonlocal elasticity

Cited by 37 publications

References 26 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

Investigation of the effect of viscosity and fluid flow on buckling behaviour of non‐local nanoplate with surface energy

Free vibration of FGM Mindlin plates submerged in fluid

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