Vibration characteristics of rotating functionally graded porous beams reinforced by graphene platelets

Binh, Chu Thanh; Quoc, Tran Huu; Duong, Huan Thanh; Hien, Ho Thi

doi:10.31814/stce.huce(nuce)2021-15(4)-03

Cited by 2 publications

(3 citation statements)

References 30 publications

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“…Based on a shear and normal deformation theory and by employing the Ritz approach, Priyanka et al [ 6 ] investigated the stability and dynamic responses of porous beams made of FG-GPLs. Moreover, the free vibrations of rotating, FG-GPL, porous Timoshenko beams were studied by Binh et al [ 7 ], using the generalized differential quadrature method (GDQM). Xu et al [ 8 ] adopted the differential transformation method to investigate the free vibration behavior of FG-GPL porous beams based on the Euler–Bernoulli beam theory under a spinning movement.…”

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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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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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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“…The material properties vary in the thickness direction according to the power law. Binh et al 9 obtained and solved the equations of motion for a rotating Timoshenko beam formed of functionally graded porous material reinforced by graphene platelets using the Chebyshev–Ritz method. The material characteristics change according to two different types of porosity distributions through thickness and two different graphene platelet dispersion patterns.…”

Section: Introductionmentioning

confidence: 99%

“…For situations involving thick beams, Timoshenko beam theory, categorized as a First-order Shear Deformation Theory (FSDT), is commonly employed 3 , 5 , 9 , 16 , 21 , 23 , 26 , 30 – 39 . In FSDT, the assumption of the cross-section staying perpendicular to the beam axis after deformation is no longer taken for granted.…”

Section: Introductionmentioning

confidence: 99%

Comparative study on free vibration analysis of rotating bi-directional functionally graded beams using multiple beam theories with uncertainty considerations

Taima,

Shehab,

El-Sayed

et al. 2023

Sci Rep

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The present study investigates the free vibration behavior of rotating beams made of functionally graded materials (FGMs) with a tapered geometry. The material properties of the beams are characterized by an exponential distribution model. The stiffness and mass matrices of the beams are derived using the principle of virtual energy. These matrices are then evaluated using three different beam theories: Bernoulli–Euler (BE) or Classical Beam Theory (CBT), Timoshenko (T) or First-order Shear Deformation Theory (FSDT), and Reddy (R) or Third-order Shear Deformation Theory (TSDT). Additionally, the study incorporates uncertainties in the model parameters, including rotational velocity, beam material properties, and material distribution. The mean-centered second-order perturbation method is employed to account for the randomness of these properties. To ensure the robustness and accuracy of the probabilistic framework, numerical examples are presented, and the results are compared with those obtained through the Monte Carlo simulation technique. The investigation explores the impact of critical parameters, including material distribution, taper ratios, aspect ratio, hub radius, and rotational speed, on the natural frequencies of the beams is explored within the scope of this investigation. The outcomes are compared not only with previously published research findings but also with the results of 3-Dimensional Finite Element (3D-FE) simulations conducted using ANSYS to validate the model’s effectiveness. The comparisons demonstrate a strong agreement across all evaluations. Specifically, it is observed that for thick beams, the results obtained from FSDT and TSDT exhibit a greater agreement with the 3D-FE simulations compared to CBT. It is shown that the coefficient of variation (C.O.V.) of first mode eigenvalue of TSDT, FSDT and CBT are approximately identical for random rotational velocity and discernible deviations are noted in CBT compared to FSDT and TSDT in the case of random material properties. The findings suggest that TSDT outperforms FSDT by eliminating the need for a shear correction coefficient, thereby establishing its superiority in accurately predicting the natural frequencies of rotating, tapered beams composed of FGMs.

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Vibration characteristics of rotating functionally graded porous beams reinforced by graphene platelets

Cited by 2 publications

References 30 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

Comparative study on free vibration analysis of rotating bi-directional functionally graded beams using multiple beam theories with uncertainty considerations

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