Free Vibrational Response of Single-Layered Graphene Sheets Embedded in an Elastic Matrix using Different Nonlocal Plate Models

Safaei, Babak; Fattahi, A. M.

doi:10.5755/j01.mech.23.5.14883

Cited by 15 publications

(2 citation statements)

References 24 publications

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“…Liu et al, 15 presented a unified modeling method for vibration analysis of reinforced functionally graded plate resting on elastic foundation with elastic boundary conditions. Fattahi and Safaei 16 used different nonlocal plate models to study free vibration of graphene sheets in an elastic matrix. Gholami and Ansari 17 explored the nonlinear stability and vibration of pre/post-buckled multilayer functionally graded rectangular plates.…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis of vibration of an isotropic thin rectangular plate subjected to different boundary conditions under point and uniformly distributed loadings

Sobamowo¹,

CT²,

SA³

et al. 2022

AAOAJ

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In this paper, finite element method is applied to structural analysis of rectangular plate subjected to different boundary conditions. The governing equation of motions for the static analysis of a rectangular plate are developed using Kirchhoff plate bending theory. The verification and the reliability of the finite element methods used is established by comparing the results of an in-house MATLAB code and that of commercial computational solid mechanics code using FLEXPDE as well as exact analytical method. The results of the exact analytical method, MATLAB finite element method and FLEX finite element method show excellent agreements. Also, it was observed that the boundary conditions and the dimensions of the plate have significant influence on the vibration of plates. The results showed that Clamped- Simply Supported - Simply Supported -Simply Supported (CSSS) mixed boundary condition gave the highest deflection for each thickness and loading type while the Clamped-Clamped- Clamped -Simply Supported (CCCS) mixed boundary condition provided the lowest deflection. The FEM algorithm developed in this project shows great agreement with commercial software results. It is inferred from the study that use of the developed finite element codes in MATLAB is an easier, cheaper and quicker approach for the analysis of free vibration of an isotropic rectangular plate.

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Section: Introductionmentioning

confidence: 99%

Finite element analysis of vibration of an isotropic thin rectangular plate subjected to different boundary conditions under point and uniformly distributed loadings

Sobamowo¹,

CT²,

SA³

et al. 2022

AAOAJ

View full text Add to dashboard Cite

show abstract

“…Azizi et al [26] studied nonlinear vibration analysis of nano-beams embedded in elastic medium considering effects of surface stress effects. Safaei and Fattahi [27] carried out a research regarding vibrational behavior of single-layered Graphene sheets based on diverse nonlocal plate theories. Buckling analysis of carbon-nanotube reinforced beams with different boundary conditions is investigated by Fattahi and Safaei [28].…”

Section: Introductionmentioning

confidence: 99%

Archive of Mechanical Engineering

Babaei¹,

Rahmani²,

Ahmadi³

2019

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In this paper, thermally-excited, lateral free vibration analysis of a small-sized Euler-Bernoulli beam is studied based on the nonlocal theory. Nonlocal effect is exerted into analysis utilizing differential constitutive model of Eringen. This model is suitable for design of sensors and actuators in dimensions of micron and submicron. Sudden temperature rise conducted through the thickness direction of the beam causes thermal stresses and makes thermo-mechanical properties to vary. This temperature field is supposed to be constant in the lateral direction. Temperatures of the top and bottom surfaces of the system are considered to be equal to each other. Governing equation of motion is derived using Hamilton's principle. Numerical analysis of the system is performed by Galerkin's approach. For verification of the present results, comparison between the obtained results and those of benchmark is reported. Numerical results demonstrate that dynamic behavior of small-sized system is been effected by temperature shift, nonlocal parameter, and slenderness ratio. As a result, taking the mentioned parameters into account leads to better and more reliable design in miniaturized-based industries.

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Frequency data driven damage detection of polymeric composite structural health using machine learning models

Kumar,

Pattanayak,

Mehar

et al. 2024

Z Angew Math Mech

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Firstly, the effect of damages (crack and delamination) on frequency responses of the polymeric composite structures is predicted numerically in this research. The responses are computed numerically using the finite element technique associated with a higher‐order deformation kinematic model. The model accuracy has been verified by comparing the published frequency responses and in‐house experimental data. The verified model is extended to generate the desired data (frequencies) utilizing various input parameters related to the geometrical forms and damage types (shapes, sizes, and positions). Further, different machine learning models (MLMs) are developed using Python algorithms for the identification of structural health. In this regard, the extracted data sets are initially used to train the MLM, detect the damages, and identify types of damage and damage‐related data of polymeric structures. Out of all kinds of MLMs, it is understood that the Random Forest Classifier provides the best result, which had an accuracy of 94.66% with the optimal parameters. The precision accomplished is 97% for intact and 94% for damaged structures. The proposed algorithm is also capable of identifying the damage‐related parameters (shape, size, type, and position) and predicting the defects early to prevent unintended mishaps.

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Free Vibrational Response of Single-Layered Graphene Sheets Embedded in an Elastic Matrix using Different Nonlocal Plate Models

Cited by 15 publications

References 24 publications

Finite element analysis of vibration of an isotropic thin rectangular plate subjected to different boundary conditions under point and uniformly distributed loadings

Finite element analysis of vibration of an isotropic thin rectangular plate subjected to different boundary conditions under point and uniformly distributed loadings

Archive of Mechanical Engineering

Frequency data driven damage detection of polymeric composite structural health using machine learning models

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