Free vibration analysis of an electro-elastic GPLRC cylindrical shell surrounded by viscoelastic foundation using modified length-couple stress parameter

Ghabussi, Aria; Ashrafi, Negin; Shavalipour, Aghil; Hosseinpour, Abolfazl; Habibi, Mostafa; Moayedi, Hossein; Babaei, Behzad; Safarpour, Hamed

doi:10.1080/15397734.2019.1705166

Cited by 107 publications

(17 citation statements)

References 49 publications

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“…Based on the linear poroelasticity theory of Biot, 1 the increase of pressure of the fluid confined by the pores causes dilatation or positive volumetric strain in the pores, and compression of the pores increases the pressure of the fluid. As a result, the members of the stiffness matrix for the porous core (i.e.…”

Section: Basic Relationsmentioning

confidence: 99%

“…Nanocomposites are called composites which are reinforced by nanofillers and can be employed in different fields of sciences and industries such as fuel tanks and tubes, military industries, automobile industries, marine structures, construction industry, sports equipment, medical equipment, and so on. 1 In recent years, by rapid advancement in sciences and technologies, nanoreinforcements are used for industrial applications. In the past two decades, their usage has been accelerated with the discovery of carbon nanotubes (CNTs) by Iijima 2 and graphene platelets (GPLs) by Novoselov.…”

Section: Introductionmentioning

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: Basic Relationsmentioning

confidence: 99%

Section: Introductionmentioning

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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“…Owing to their outstanding mechanical properties, GPLs have great prospects as nanofillers to enhance structural strength and stiffness. 14–20 Recently, many researchers have been keeping watchful eyes on the vibration behavior of GPL reinforced structures. 21–26 Yang et al 27 investigated the modal characteristics of a multiplayer plate reinforced with GPLs.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of a spinning porous nanocomposite blade reinforced with graphene nanoplatelets

Zhao

Yang

Pan

et al. 2021

The Journal of Strain Analysis for Engineering Design

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This paper investigated the modeling and free vibration characteristics of a spinning graphene nanoplatelet (GPL) reinforced porous nanocomposite blade. The blade is made of porous foam metal matrix reinforced with graphene nanoplatelets (GPLs). Several different GPL distributions and porosity distributions in the blade are taken into account. The effective material properties of the blade, determined via the open-cell scheme, the Halpin-Tsai model, and the rule of mixture, are assumed to be varying continuously along the its thickness direction. According to the Kirchhoff’s plate theory, the governing equations of the spinning blade are derived by adopting the Hamilton principle. On the other hand, the non-uniform spinning blade is modeled by the finite element method which is compared with the theoretical method. The theoretical results match very well with the finite element ones obtained from ANSYS. Particular focus is given to the effects of the spinning speed, porosity coefficient, distribution pattern of GPLs and porosities, GPL weight fraction, length-to-thickness ratio and length-to-width ratio of GPLs, blade length, and spinning radius on the free vibration performance of the blade rotor.

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“…Due to the never ending attitude of technology for improving the mechanical properties and operation of the structures, 1–6 Graphene platelet (GPL) reinforcement gain the attention of scientists for providing an enthusiastic enhancement in design of the applicable composite structures. 7–12 In the field of improving the mechanical properties, enhancing the elastoplastic stability and instability of sheet metal are presented in some researches with the aid of experimental and finite element method. 1,13–26 Sun and Zhao 27 compared the fracture behavior of the functionally graded (FG) cemented carbide reinforced with and without the GPL.…”

Section: Introductionmentioning

confidence: 99%

Frequency analysis of a graphene platelet–reinforced imperfect cylindrical panel covered with piezoelectric sensor and actuator

Jalali

Shavalipour

Safarpour

et al. 2020

The Journal of Strain Analysis for Engineering Design

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The main point of the current study is that the frequency analysis of a graphene platelets–reinforced composite (GPLRC) imperfect panel covered with piezoelectric sensor and actuator (PISA) based on the 3D elasticity theory is investigated. Rule of mixture is employed to obtain varying mass density and Poisson’s ratio, while module of elasticity is computed by modified Halpin-Tsai model. The governing equations are obtained using the 3D elasticity theory. By using Fourier series expansion along the longitudinal and latitudinal directions for the stress and displacement fields, a closed form solution is derived. The novelty of the current study is the consideration of the GPLRC panel and PISA, as well as imperfection are implemented on the proposed model using theory of 3D elasticity. Due to perfect bonding between piezoelectric layers and core the compatibility conditions are derived. Finally, influences of PISA thickness, graphene platelet (GPL) distribution pattern, porosity, span angle of panel, number of layers and GPL weight function on the dynamic stability of the GPLRC smart imperfect panel are presented. Another important consequence is that the sandwich panels with lower span angle have better natural frequency. In other words, to obtain desirable frequency response using structures which their shape is similar to GPLRC plate is more recommended than those resemble to GPLRC cylindrical shell.

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Free vibration analysis of an electro-elastic GPLRC cylindrical shell surrounded by viscoelastic foundation using modified length-couple stress parameter

Cited by 107 publications

References 49 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

Free vibration analysis of a spinning porous nanocomposite blade reinforced with graphene nanoplatelets

Frequency analysis of a graphene platelet–reinforced imperfect cylindrical panel covered with piezoelectric sensor and actuator

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