Orthotropic patterns of Pasternak foundation in smart vibration analysis of magnetostrictive nanoplate

Arani, A. Ghorbanpour; Maraghi, Z. Khoddami; Arani, H. Khani

doi:10.1177/0954406215579929

Cited by 15 publications

(4 citation statements)

References 32 publications

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“…According to what was mentioned, the partial derivations of the function ( ) are estimated by a specific variable at discontinuous points using a set of weighting series. It is supposed that has been a function representing , , , 1 , and 2 regarding variables and (0 < < 1, 0 < < 1) when × is the grid points along these variables with the following derivation [22]:…”

Section: External Workmentioning

confidence: 99%

Free Vibration of Embedded Porous Plate Using Third-Order Shear Deformation and Poroelasticity Theories

Arani

Maraghi

Khani

et al. 2017

Journal of Engineering

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This research aims at studying free vibration of rectangular plate made of porous materials in which Y-foam, G-foam, and Coustone are used and compared with each other. To obtain the Biot formulation of the constitutive equations for a porous material, linear poroelasticity theory is used. Young modulus and density of porous plate are different in transverse direction versus porosity. In order to increase the accuracy of results in comparison with classical plate and first-order shear deformation theories, Reddy’s theory was utilized in this research. Besides, five coupled equations of motion have been studied using Hamilton’s principle and are solved by differential quadrature method (DQM). Detailed results of this study show the significant effect of aspect ratio, thickness ratio, boundary conditions, and porosity on dimensionless frequency and deflection of porous plate. Results of this study can contribute to the design of pneumatic conveying, handling, and control systems.

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Section: External Workmentioning

confidence: 99%

Free Vibration of Embedded Porous Plate Using Third-Order Shear Deformation and Poroelasticity Theories

Arani

Maraghi

Khani

et al. 2017

Journal of Engineering

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“…in which AE F and AE M are the external work due to foundation and Lorentz force, respectively. By substituting equation (15) into equation (20b) and equation (16) into equation (20c) and consequently results into equation (20a), the total external work can be determined.…”

Section: Kinetic Energymentioning

confidence: 99%

“…An exact solution for nonlocal vibration of simply supported double-orthotropic nanoplates embedded in elastic medium was presented by Pouresmaeeli et al 14 They assumed that the two nanoplates were bonded by an internal elastic medium and surrounded by external elastic foundation. Ghorbanpour Arani et al 15 studied orthotropic patterns of Pasternak foundation in vibration analysis of rectangular nanoplate made of magnetostrictive materials. They considered orthotropy angle for Pasternak foundation and used Reddy's third-order shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

Orthotropic patterns of visco-Pasternak foundation in nonlocal vibration of orthotropic graphene sheet under thermo-magnetic fields based on new first-order shear deformation theory

Amir

2016

Proceedings of the Institution of Mechanical Engineers, Part L:

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In the present research, vibration and instability of orthotropic graphene sheet subjected to thermo-magnetic fields are investigated. Orthotropic visco-Pasternak foundation is considered to analyze the influences of orthotropy angle, damping coefficient, normal and shear modulus. New first-order shear deformation theory is utilized due to accuracy of its polynomial functions compared to other theories of plate. Motion equations are obtained by means of Hamilton's principle and then solved analytically. Influences of various parameters such as small scale, magnetic field, orthotropic viscoelastic surrounding medium, thickness and aspect ratio of single layer graphene sheet on the vibration characteristics of nanoplate are discussed in detail. The results indicate that the stability of single layer graphene sheet is strongly dependent on applied magnetic field. Therefore, the mechanical behavior of single layer graphene sheet can be improved by applying magnetic field. The results of this investigation can be used in design and manufacturing of micro/nano mechanical systems.

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“…Wang et al 9 presented the new higher-order shear deformation theory for bending analysis of the two-dimensionally functionally graded nanoplates. Ghorbanpour Arani et al 10 studied the orthotropic patterns of Pasternak foundation in smart vibration analysis of magnetostrictive nanoplate. Results indicate that with appropriative selection for orthotropy angle, normal, and shear Pasternak foundation modulus, it is possible to achieve optimal and desire values to more stability of magnetostrictive nanoplate.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic stability analysis of CNTs reinforced piezoelectric viscoelastic composite nano/micro plate under multiple physical fields resting on smart foundation

Sourani,

Ghorbanpour Arani,

Hashemian

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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This study analyzes the nonlinear dynamic stability of carbon nanotube reinforced composite (CNTRC) piezoelectric viscoelastic nano/micro plate under time dependent harmonic compressive biaxial mechanical loading. The nano/micro plate is single-layer with a uniform and rectangular cross section. Polyvinylidene fluoride (PVDF) is the material used for the nano/micro plate. Also, it is located on a nonlinear viscoelastic piezoelectric foundation made of Zinc Oxide (ZnO). Single-walled carbon nanotubes (SWCNTs) have been used to strengthen nano/micro plate. Using Kelvin-Voigt model, the material properties of the system are assumed to be viscoelastic. Nano/micro plate is subjected to 2D magnetic field and electric potential. Magnetic field effects are incorporated using Maxwell’s relations. An alternating and direct voltage is applied to the nano/micro plate and also smart foundation in thickness direction. Eshelby-Mori-Tanaka approach is used to estimate the effective elastic properties. Additionally, follower force and uniform thermal gradient is applied to nano/micro plate in this study. The nonlinear strain–displacement relations are based on the Von-Kármán theory. According to classical, first order, third order, sinusoidal, parabolic, hyperbolic and exponential shear deformation plate theories, a new formulation is proposed incorporating surface stress effects through the Gurtin-Murdoch elasticity theory. In order to consider small scale parameters, this research is based on modified strain gradient theory (MSGT). Using the energy method and Hamilton’s principle, the non classical governing equations are derived. For nano/micro plate, simply supported boundary conditions are considered. For the purpose of solving differential equations, an analysis based on Galerkin procedure and finally the Bolotin method will be used to obtain the dynamic instability region (DIR). It is the objective of this study to investigate the impact of such parameters as small-scale parameters, alternating and direct applied voltage, intensity of magnetic field, surface effects, thermal environment and static load factor on the DIR. This study revealed that taking into account the smart foundation reduces the area of dynamic instability region by more than 60% for a constant intensity of magnetic field. The stability responses are also more convergent with the smart foundation. Additionally, the range is moved toward higher excitation frequencies and greater system stability. Validation of answers based on reliable scientific articles is one of the final stages of this research. These results can be used to design nano/micro electromechanical systems.

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Orthotropic patterns of Pasternak foundation in smart vibration analysis of magnetostrictive nanoplate

Cited by 15 publications

References 32 publications

Free Vibration of Embedded Porous Plate Using Third-Order Shear Deformation and Poroelasticity Theories

Free Vibration of Embedded Porous Plate Using Third-Order Shear Deformation and Poroelasticity Theories

Orthotropic patterns of visco-Pasternak foundation in nonlocal vibration of orthotropic graphene sheet under thermo-magnetic fields based on new first-order shear deformation theory

Nonlinear dynamic stability analysis of CNTs reinforced piezoelectric viscoelastic composite nano/micro plate under multiple physical fields resting on smart foundation

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