Stress wave propagation and natural frequency analysis of functionally graded graphene platelet-reinforced porous joined conical–cylindrical–conical shell

Babaei, Masoud; Kiarasi, Faraz; Marashi, Sayed Mahdi; Ebadati, Mohammad; Masoumi, Farshid; Asemi, Kamran

doi:10.1080/17455030.2021.2003478

Cited by 30 publications

(4 citation statements)

References 71 publications

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“…Equations (1)–(3) define mathematically the distributions of the material properties considering the effect of porosity, for the three selected distributions. At the same time, Figure 2 reports the five GPL distribution profiles throughout the spherical cap, thickness-wise, which are defined next [ 25 , 26 ]. More specifically, the mechanical properties refer to the mass density

, Young’s modulus

and shear modulus

of porous nanocomposite spherical caps [ 54 , 55 , 56 , 57 , 58 ].…”

Section: Theoretical Problemmentioning

confidence: 99%

“…Bahaadini [ 24 ] defined a further analytical solution to the free vibration problem of FG-GPL, porous, truncated conical shells, according to a Love’s first approximation theory, while examining the influences of porosity coefficients, weight fractions and geometries of GPLs, on the free vibration of the structure. Babaei and his coauthors analyzed the stress-wave propagation and natural frequencies of porous joined conical-cylindrical shells made of FG-GPLs [ 25 ] and joined conical-cylindrical-conical shells [ 26 ] by using the classical finite element method (FEM). Based on the Donnell’s theory and the Galerkin approach, the internal resonance of metal foam cylindrical shells made of FG- GPLs was studied by Ye and Wang [ 27 ].…”

Section: Introductionmentioning

confidence: 99%

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Numerical Study on the Buckling Behavior of FG Porous Spherical Caps Reinforced by Graphene Platelets

et al. 2023

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The buckling response of functionally graded (FG) porous spherical caps reinforced by graphene platelets (GPLs) is assessed here, including both symmetric and uniform porosity patterns in the metal matrix, together with five different GPL distributions. The Halpin–Tsai model is here applied, together with an extended rule of mixture to determine the elastic properties and mass density of the selected shells, respectively. The equilibrium equations of the pre-buckling state are here determined according to a linear three-dimensional (3D) elasticity basics and principle of virtual work, whose solution is determined from classical finite elements. The buckling load is, thus, obtained based on the nonlinear Green strain field and generalized geometric stiffness concept. A large parametric investigation studies the sensitivity of the natural frequencies of FG porous spherical caps reinforced by GPLs to different parameters, namely, the porosity coefficients and distributions, together with different polar angles and stiffness coefficients of the elastic foundation, but also different GPL patterns and weight fractions of graphene nanofillers. Results denote that the maximum and minimum buckling loads are reached for GPL-X and GPL-O distributions, respectively. Additionally, the difference between the maximum and minimum critical buckling loads for different porosity distributions is approximately equal to 90%, which belong to symmetric distributions. It is also found that a high weight fraction of GPLs and a high porosity coefficient yield the highest and lowest effects of the structure on the buckling loads of the structure for an amount of 100% and 12.5%, respectively.

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, Young’s modulus

and shear modulus

of porous nanocomposite spherical caps [ 54 , 55 , 56 , 57 , 58 ].…”

Section: Theoretical Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical Study on the Buckling Behavior of FG Porous Spherical Caps Reinforced by Graphene Platelets

et al. 2023

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“…22 Based on FSDT and employing GDQM, buckling of FG-GPL reinforced conical shells under external pressure in thermal environment was investigated by Kiani. 23 Babaei et al 24 studied stress wave propagation and natural frequency analysis of functionally graded graphene platelet-reinforced porous joined conical-cylindrical-conical based on 2D axisymmetric elasticity. Finite-element buckling analysis of FG-GPL-reinforced composite plates with a circular hole based on FSDT was performed by Geng et al.…”

Section: Introductionmentioning

confidence: 99%

Three dimensional free vibration analysis of functionally graded graphene reinforced composite laminated cylindrical panel

Babaei¹,

Kiarasi²,

Tehrani

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part L:

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In this paper, natural frequency analysis of functionally graded graphene platelet (GPL) reinforced composite cylindrical panel is investigated. Halpin-Tsai equations are employed to obtain the mechanical properties of the structure. The linear three-dimensional elasticity theory based on the Hamilton principle and the numerical finite element method are used for obtaining the governing equations of motion. Four patterns of GPL distributions such as: FG-X, FG-V, FG-O and UD are assumed through the thickness of shell. The effects of various parameters such as different distributions and weight fractions of GPL, zigzag and armchair lay-up, geometry and different boundary conditions on the natural frequencies and mode shapes of shell have been investigated. The results indicate that the maximum and minimum natural frequencies belong to FG-X pattern and FG-O pattern, respectively.

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“…Various materials are introduced, and their properties are extracted; [1][2][3] these materials can be used as energy absorbers. Research on energy absorbers can be divided into three general groups: experimental, numerical, and analytical.…”

Section: Introductionmentioning

confidence: 99%

Introducing new nested absorbers with square cross-sections and optimization of their performance using Response Surface Method under quasi-static loading

Chahardoli

Attar

Ziaie

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part L:

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Thin-walled structures with nested cross-sections have been introduced in recent years as structures with high energy absorption capacity. In this research, a new type of energy absorbers is introduced, which is a combination of two different elements which are subjected to lateral and axial loads simultaneously. The study has been done experimentally and numerically; in the numerical part, LS-DYNA software was used for computer simulations. The outer part of the introduced absorbers has square shells with a thickness of two millimeters that absorbs energy under lateral loading. The inner part of new absorbers is a shell with a rectangular cross-section that collapses under axial compression. The obtained results showed that these structures can increase the energy absorption by 36 and 32% of the total energy absorbed through each component separately. In the experimental part, the accuracy of numerical results was checked, and good agreement was observed. In the final part of this research, using Minitab software and based on the response surface method (RSM), the most optimal absorbers in terms of specific energy and maximum force were introduced.

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Stress wave propagation and natural frequency analysis of functionally graded graphene platelet-reinforced porous joined conical–cylindrical–conical shell

Cited by 30 publications

References 71 publications

Numerical Study on the Buckling Behavior of FG Porous Spherical Caps Reinforced by Graphene Platelets

Numerical Study on the Buckling Behavior of FG Porous Spherical Caps Reinforced by Graphene Platelets

Three dimensional free vibration analysis of functionally graded graphene reinforced composite laminated cylindrical panel

Introducing new nested absorbers with square cross-sections and optimization of their performance using Response Surface Method under quasi-static loading

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