On the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions

Shakir, Mohammed; Talha, Mohammad

doi:10.1177/09544062221098554

Cited by 8 publications

(2 citation statements)

References 53 publications

(73 reference statements)

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“…The strain energy 43 of the plate is assessed by using Equations () and () as,

U = \frac{1}{2} \int_{V} {({}, ε)}^{T} \{σ\} d V = \frac{1}{2} \int_{A} {({}, ϒ)}^{T} [k] \{normalϒ\} dA

where

[k] = \int_{- h / 2}^{h / 2} {([], B)}^{T} {([], ℜ)}^{T} [Q] [ℜ] [B] dz

…”

Section: Mathematical Background For Numerical Investigationmentioning

confidence: 99%

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Experimental and numerical investigations of VO₂‐UHMWPE polymer composite plates across phase change temperature

Shakir,

Verma,

Balakrishnan

et al. 2023

Polymer Composites

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In the present study, experimental and numerical investigations are carried out on Vanadium dioxide (VO2)‐UHMWPE composite plates while considering the temperature across phase change. VO2 is known for semiconducting to metallic transition along with structural changes from monoclinic to tetragonal during heating above 68°C, which enhances structural stiffness. For the experimentation, VO2‐UHMWPE composite samples are fabricated by employing the Hot‐Press method. These samples are further utilized to perform the compression test in order to find Young's moduli at room temperature (RT) and 75°C (temperature across phase change) using a Universal Testing Machine (UTM). Based on the experimentally computed Young's moduli, the numerical investigations in terms of free vibration and bending analyses, are performed. For structural kinematics, a C0‐continuous higher‐order shear deformation theory (HSDT) is employed, and the governing equations are derived using the Lagrange model. The numerical results, that is, natural frequencies and center deflection, are assessed using the finite element method (FEM). The convergence and comparison studies are accomplished to ensure the performance and competence of the present numerical model within the framework of MATLAB and ABAQUS. The influence of temperature, thickness ratio, boundary conditions, etc. on the frequency and deflection of the bare UHMWPE polymer and VO2‐UHMWPE plates, is discussed in detail. Based on the results, it can be concluded that the VO2 reinforcement to the UHMWPE polymer improves structural stiffness at a temperature of 75°C. Moreover, VO2‐UHMWPE composite can be utilized for structural applications, wherein lightweight and high‐temperature resistive material is desired.Highlights The fabrication of the VO2‐UHMWPE composite samples is accomplished through the Hot‐Press method. Young's moduli of the VO2‐UHMWPE composites at RT and 75°C are assessed utilizing UTM. The finite element method is employed to analyze the behavior of the bare UHMWPE polymer and VO2‐UHMWPE plates in free vibration and bending. The effect of influencing parameters such as temperature, thickness ratio, boundary conditions, etc., on natural frequency and deflection of the plates are explored.

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“…The strain energy 43 of the plate is assessed by using Equations () and () as,

U = \frac{1}{2} \int_{V} {({}, ε)}^{T} \{σ\} d V = \frac{1}{2} \int_{A} {({}, ϒ)}^{T} [k] \{normalϒ\} dA

where

[k] = \int_{- h / 2}^{h / 2} {([], B)}^{T} {([], ℜ)}^{T} [Q] [ℜ] [B] dz

…”

Section: Mathematical Background For Numerical Investigationmentioning

confidence: 99%

“…The expression for the kinetic energy 43 can be given by,

T = \frac{1}{2} \int_{normalV} ρ_{eff} {({}, \dot{\overset{u}{true}})}^{normalT} \{\overset{\overset{true¯}{u}}{true}\} d V = \frac{1}{2} \int_{normalA} {({}, \dot{normalΥ})}^{normalT} [m] \{\overset{Υ}{true}\} dA

where ρ eff is the effective mass density, which is determined experimentally and

[m] = \int_{- h / 2}^{h / 2} ρ_{eff} {([], \overset{true~}{N})}^{T} [\overset{N}{true}] dz

…”

Section: Mathematical Background For Numerical Investigationmentioning

confidence: 99%

Experimental and numerical investigations of VO₂‐UHMWPE polymer composite plates across phase change temperature

Shakir,

Verma,

Balakrishnan

et al. 2023

Polymer Composites

Self Cite

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A Finite Element Framework for Natural Frequency of Multilayered Functionally Graded Stiffened Panels with Cutouts for Aerospace Applications

Raza,

Lim,

Kim

2024

Int. J. Aeronaut. Space Sci.

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Uncertain Eigenvalue Analysis for Graded Porous and Sandwich Arches by Employing Perturbation-Based Stochastic Finite Element Approach

Amir

Kim

Talha

2023

J. Vib. Eng. Technol.

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On the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions

Cited by 8 publications

References 53 publications

Experimental and numerical investigations of VO₂‐UHMWPE polymer composite plates across phase change temperature

Experimental and numerical investigations of VO₂‐UHMWPE polymer composite plates across phase change temperature

A Finite Element Framework for Natural Frequency of Multilayered Functionally Graded Stiffened Panels with Cutouts for Aerospace Applications

Uncertain Eigenvalue Analysis for Graded Porous and Sandwich Arches by Employing Perturbation-Based Stochastic Finite Element Approach

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On the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions

Cited by 8 publications

References 53 publications

Experimental and numerical investigations of VO2‐UHMWPE polymer composite plates across phase change temperature

Experimental and numerical investigations of VO2‐UHMWPE polymer composite plates across phase change temperature

A Finite Element Framework for Natural Frequency of Multilayered Functionally Graded Stiffened Panels with Cutouts for Aerospace Applications

Uncertain Eigenvalue Analysis for Graded Porous and Sandwich Arches by Employing Perturbation-Based Stochastic Finite Element Approach

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Product

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Experimental and numerical investigations of VO₂‐UHMWPE polymer composite plates across phase change temperature

Experimental and numerical investigations of VO₂‐UHMWPE polymer composite plates across phase change temperature