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

Babaei, Masoud; Kiarasi, Faraz; Tehrani, Mehran Soltani; Hamzei, Amin; Mohtarami, Ehsan; Asemi, Kamran

doi:10.1177/14644207211073445

Cited by 9 publications

(4 citation statements)

References 34 publications

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“…Hereafter,

is used within the numerical investigation. According to the Halpin–Tsai micromechanics model [ 60 ], the elasticity modulus of nanocomposites without internal cavities is defined as

with

where indices

and

stand for properties of the metallic matrix and graphene platelets, respectively;

is the volumetric content of GPLs; and

and

refer to the length, width and thickness of the nano-filler platelets, respectively.…”

Section: Theoretical Problemmentioning

confidence: 99%

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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“…Hereafter,

is used within the numerical investigation. According to the Halpin–Tsai micromechanics model [ 60 ], the elasticity modulus of nanocomposites without internal cavities is defined as

with

where indices

and

stand for properties of the metallic matrix and graphene platelets, respectively;

is the volumetric content of GPLs; and

and

refer to the length, width and thickness of the nano-filler platelets, respectively.…”

Section: Theoretical Problemmentioning

confidence: 99%

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

et al. 2023

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“…Masoud Babaei utilized the finite element method to analyze the natural frequencies of functionally graded graphene sheets (GPL) in different distribution modes while considering different material parameters and boundary conditions. The findings revealed that FG-O types exhibited the minimum natural frequencies [13]. Kurzweil investigated the secondary vibration and noise of the surrounding ground induced by high-speed trains and analyzed the law of vibration propagation in different soil layers [14].…”

Section: Introductionmentioning

confidence: 99%

Ambient Vibration Analysis of Diversion Pipeline in Mount Changlong Pumped-Storage Power Station

Lian,

Zuo,

Wang

et al. 2024

Applied Sciences

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This study analyzes the ambient vibrations induced while running the Mount Changlong pumped-storage power station (PSPS). The ground vibration data of the power station during its operation were acquired with vibration sensors. Different units were selected and compared under working conditions, and the conclusions were as follows: (1) Ambient vibrations induced by the running of units constituted the primary source of vibration, and they attenuated as the distance increased. (2) The vibration acceleration under pumping conditions was larger than that under power generation conditions, and the ground vibration acceleration increased with an augmentation of the power. (3) The running of adjacent units generated mutual interference, and the types of units were different, which led to complex variations in the spectrum maps. (4) The vibration acceleration of the lower flat tunnel was prone to surpassing the standard when the number of units running together exceeded three.

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“…The free vibration analysis is an important problem in engineering (see Babaei et al [ 37 ]), and within this context, CUF has been applied to the study of VATs considering PVD as the main variational statement. For this reason, this work aims to extend this framework with the RMVT formulation in order to develop a family of hierarchical plate finite elements.…”

Section: Introductionmentioning

confidence: 99%

A FEM Free Vibration Analysis of Variable Stiffness Composite Plates through Hierarchical Modeling

2023

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Variable Angle Tow (VAT) laminates offer a promising alternative to classical straight-fiber composites in terms of design and performance. However, analyzing these structures can be more complex due to the introduction of new design variables. Carrera’s unified formulation (CUF) has been successful in previous works for buckling, vibrational, and stress analysis of VAT plates. Typically, one-dimensional (1D) and two-dimensional (2D) CUF models are used, with a linear law describing the fiber orientation variation in the main plane of the structure. The objective of this article is to expand the CUF 2D plate finite elements family to perform free vibration analysis of composite laminated plate structures with curvilinear fibers. The primary contribution is the application of Reissner’s mixed variational theorem (RMVT) to a CUF finite element model. The principle of virtual displacements (PVD) and RMVT are both used as variational statements for the study of monolayer and multilayer VAT plate dynamic behavior. The proposed approach is compared to Abaqus three-dimensional (3D) reference solutions, classical theories and literature results to investigate the effectiveness of the developed models. The results demonstrate that mixed theories provide the best approximation of the reference solution in all cases.

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

Cited by 9 publications

References 34 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

Ambient Vibration Analysis of Diversion Pipeline in Mount Changlong Pumped-Storage Power Station

A FEM Free Vibration Analysis of Variable Stiffness Composite Plates through Hierarchical Modeling

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