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, Saeed

doi:10.1177/1464420716670929

Cited by 13 publications

(7 citation statements)

References 26 publications

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“…+ W Therm . To determine the work of the elastic foundation, which is modeled by Pasternak type, its reaction force can be obtained via the following relation 69 where J 1 and J 2 are the springs and shear layer parameters, respectively and …”

Section: Derivation Of the Motion Equationsmentioning

confidence: 99%

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Size-dependent vibration analysis of fluid-infiltrated porous curved microbeams integrated with reinforced functionally graded graphene platelets face sheets considering thickness stretching effect

Arshid

Amir

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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Size-dependent vibration analysis of three-layered fluid-infiltrated porous curved microbeams, which are integrated with nanocomposite face sheets, is provided in this work. The effect of the fluids within the pores of the core is taken into consideration and the core’s thermomechanical properties vary across the thickness based on three different patterns. Also, the face sheets are made from epoxy, which are reinforced by graphene platelets as lightweight and high-stiffness reinforcements. Graphene platelets dispersion patterns are also considered, which obey three different functions, namely parabolic, linear, and uniform. Moreover, effective thermomechanical properties of the face sheets are determined with the aid of ERM and Halpin–Tsai micromechanical models. The microstructure is under thermal load and it is rested on Pasternak elastic foundation. In the polar coordinate system, the strains are determined for deep curved beams that lead to more accurate results. Based on a refined higher-order shear deformation theory, which includes four variables and considers the thickness stretching effect, and employing the modified couple stress theory for accounting the size effect, the differential motion equations are derived and via an analytical method, they are solved. A verification study is conducted by neglecting some parameters and after that, the results are presented and discussed in detail. It is seen that the porous core and nanocomposite face sheets material properties have significant effects on the vibrational response of the under consideration model. Up to now, no similar work in the available literature has been found, therefore, the results of this study can be considered as a benchmark for future ones. The outcomes of this study may help to design more efficient structures with the desired properties.

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Section: Derivation Of the Motion Equationsmentioning

confidence: 99%

“…þ W Therm . To determine the work of the elastic foundation, which is modeled by Pasternak type, its reaction force can be obtained via the following relation 69 F Past: ¼ J 1r w 0 ðh; tÞ À J 2 r @ 2 w 0 ðh; tÞ @h 2 (43)…”

Section: Hamilton's Principlementioning

confidence: 99%

Size-dependent vibration analysis of fluid-infiltrated porous curved microbeams integrated with reinforced functionally graded graphene platelets face sheets considering thickness stretching effect

Arshid

Amir

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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“…in which F denotes the substrate force that is defined as follows (Amir, 2019;Ebrahimi and Barati, 2018)…”

Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

Vibration analysis of magnetorheological fluid circular sandwich plates with magnetostrictive facesheets exposed to monotonic magnetic field located on visco-Pasternak substrate

Amir

Arshid

Maraghi

et al. 2020

Journal of Vibration and Control

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Magnetorheological fluids are materials that react to the applied magnetic field and are converted to the quasi-solid phase from the liquid one. Their applications in control and suppression of vibration have interested scientists nowadays. The present study is focused on the vibrational behavior of magnetorheological fluid circular plates that are embedded with magnetostrictive face layers. Magnetostrictive materials are also playing an important role in vibration control and are used widely in smart devices such as sensors and actuators. The structure is exposed to the transverse monotonic magnetic field and is located on the visco-Pasternak elastic substrate. Using Hamilton’s principle and based on classical plate theory, the motion equations and boundary conditions are extracted, and the generalized differential quadrature method is selected to solve them. Three different types of magnetorheological fluids are considered, and their effect on the results is discussed. The outcomes of this study can be used to design more capable and precise dampers, smart structures, and devices.

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“…31 presented the nonlinear thermoelastic model for the vibration analysis of circular plate using the Mindlin plate theory. Amir 32 analyzed the vibration of orthotropic plate in thermomagnetic field by using the new FSDT. Chikh et al.…”

Section: Introductionmentioning

confidence: 99%

“…Manoach et al 31 presented the nonlinear thermoelastic model for the vibration analysis of circular plate using the Mindlin plate theory. Amir 32 analyzed the vibration of orthotropic plate in thermomagnetic field by using the new FSDT. Chikh et al 33 studied the buckling of composite plate using the simplified higher order shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

Buckling and free vibration characteristics of embedded inhomogeneous functionally graded elliptical plate in hygrothermal environment

Singh

Azam

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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In the present work, effect of hygrothermal environment on vibration and buckling behavior of embedded functionally graded elliptical plate under uniform in plane compression is studied. The properties of elliptical plate vary in transverse direction following power law. The functionally graded elliptical plate is considered to be resting on the Winkler–Pasternak elastic foundation. The governing equations are derived using the principle of virtual work and solved by employing the Rayleigh–Ritz method. The algebraic polynomials are employed to satisfy the different boundary constraints. The advantage of the presented mathematical model over the previously reported methods is that it eliminates the constraints regarding edge conditions, and it is simple and computationally fast. The inclusive results depicting the effect of various parameters namely, material property exponents, foundation parameters, aspect ratio on mechanical and thermomechanical buckling, and natural frequency of embedded functionally graded elliptical plate in a hygrothermal environment are reported after the test of convergence and extensive comparisons. The study shows that increase in foundation moduli lead to an increase in natural frequency and buckling parameter. Furthermore, it is noticed that the temperature and moisture concentration remarkably affect the buckling and vibration behavior of functionally graded elliptical plate.

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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

Cited by 13 publications

References 26 publications

Size-dependent vibration analysis of fluid-infiltrated porous curved microbeams integrated with reinforced functionally graded graphene platelets face sheets considering thickness stretching effect

Size-dependent vibration analysis of fluid-infiltrated porous curved microbeams integrated with reinforced functionally graded graphene platelets face sheets considering thickness stretching effect

Vibration analysis of magnetorheological fluid circular sandwich plates with magnetostrictive facesheets exposed to monotonic magnetic field located on visco-Pasternak substrate

Buckling and free vibration characteristics of embedded inhomogeneous functionally graded elliptical plate in hygrothermal environment

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