Static and dynamic analyses of FG-GNPs reinforced porous nanocomposite annular micro-plates based on MSGT

Arshid, Ehsan; Amir, Saeed; Loghman, Abbas

doi:10.1016/j.ijmecsci.2020.105656

Cited by 98 publications

(30 citation statements)

References 74 publications

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“…The thermomechanical properties of the core and face sheets are presented in Table 3. 16 , 43 The porous core is made from SUS304, the matrix of the nanocomposite face sheets is from Epoxy, and their reinforcements are GPLs, as stated before. Also, the following geometrical values are assumed to extracting the results: l m =15µm, h = 5 l m , h f =0.1 h , h c =8 h f , L = 10 h , and β = π /4.…”

Section: Resultsmentioning

confidence: 99%

“…Hamilton’s principle and variational approach are employed to derive the governing motion equations. Based on the extended Hamilton’s principle, variations of the system’s total energy in a period equates zero 16 …”

Section: Derivation Of the Motion Equationsmentioning

confidence: 99%

“…Static and dynamic analyses of annular microplates conducted by Arshid et al. 16 They investigated a porous-reinforced FG-GPLs microstructure and considered the effect of the most important parameters on the results. Dynamics of GPLRCs shell under a moving harmonic load were studied by Eyvazian et al.…”

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: Resultsmentioning

confidence: 99%

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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“…Besides, φ 0 is the internal cells angle of the honeycomb structure; ϕ 0 = h 0 /l 0 and γ 0 = t 0 /l 0 stand for the internal aspect ratio and dimensionless cells thickness, respectively, in which h 0 , l 0 and t 0 are the geometrical parameters defining the hexagonal cells as represented in Figure 1. For FG-GPLs reinforced face sheets, the elastic constants C ijf are given by (19) The mechanical properties for both face sheets vary throughout the thickness, and they are clearly function of the effective material properties, defined, in turn, by means of the Halpin-Tsai micromechanical model, as follows [35]…”

Section: Theoretical Formulationmentioning

confidence: 99%

“…where K W is the Winkler parameter, K G is the shear layer parameter, and C d denotes the damping parameter, respectively. By substitution of Equations (29), (35), (36) into the Hamilton's principle (28), after a mathematical manipulation we get the following governing equations of motion in terms of displacement field δu :…”

Section: Governing Equations Of the Problemmentioning

confidence: 99%

Quasi-3D Hyperbolic Shear Deformation Theory for the Free Vibration Study of Honeycomb Microplates with Graphene Nanoplatelets-Reinforced Epoxy Skins

et al. 2020

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A novel quasi-3D hyperbolic shear deformation theory (QHSDT) with five unknowns is here employed, together with the Hamilton’s principle and the modified couple stress theory (MCST) to analyze the vibrational behavior of rectangular micro-scale sandwich plates resting on a visco-Pasternak foundation. The sandwich structure features a Nomex or Glass phenolic honeycomb core, and two composite face sheets reinforced with graphene nanoplatelets (GPLs). The effective properties of both face sheets are evaluated by means of the Halpin-Tsai and extended rule of mixture (ERM) micromechanical schemes. The governing equations of the problem are derived by applying the Hamilton’s principle, whose solutions are determined theoretically according to a classical Navier-type procedure. A parametric study checks for the effect of different material properties, length-scale parameters, foundation parameters and geometrical properties of the honeycomb cells, and the reinforcing GPLs, on the vibration response of the layered structure, which can be of great interest for many modern engineering applications and their optimization design.

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Free vibration of co‐curing damping sandwich composites with different lay‐up angles

Zheng,

Zhou,

et al. 2023

Polymer Composites

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In this article, the dynamic characteristics of Co‐curing Damping Sandwich Composites with Different Lay‐up Angles (CDSCDLA) are studied by means of modal analysis and numerical simulation to optimize the structure of co‐curing composites. The vibration equilibrium equation of CDSCDLA is derived according to first order shear deformation theory and Hamilton equation. The dynamic model of the structure is established by finite element simulation to verify the accuracy of the theoretical calculation. The influence of different lay‐up angle and the damping film thickness on the free vibration of CDSCDLA is explored under the condition of constant skin thickness. The theoretical derivation and finite element simulation results reveals that the overall dynamic characteristic of damping sandwich composite with a lay‐up angle of 45° is optimal when the damping film thickness is constant. In particular, when the thickness of the damping film is 0.1 mm, the first‐order mode damping and mode frequency of composite plate with a lay‐up angle of 45° reach the maximum value of 0.1495 and 747.9 Hz, respectively. The first order damping loss factor of the CDSCDLA with different layup angles is maximum when the damping film thickness is 0.3 mm. However, blindly increasing the damping layer thickness can not always improve the damping performance of the composite structure, but will greatly reduce the stiffness of the composite. The work provides a reference for dynamic performance optimization and structural design of sandwich plate with high strength and large damping loss factor.Highlights Free vibration of sandwich composites with lay‐up angles is investigated. The dynamic analytical model of the structure is established. The validity of the derived theory is verified by numerical simulation.

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Static and dynamic analyses of FG-GNPs reinforced porous nanocomposite annular micro-plates based on MSGT

Cited by 98 publications

References 74 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

Quasi-3D Hyperbolic Shear Deformation Theory for the Free Vibration Study of Honeycomb Microplates with Graphene Nanoplatelets-Reinforced Epoxy Skins

Free vibration of co‐curing damping sandwich composites with different lay‐up angles

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