An analytical method for free vibration analysis of functionally graded sandwich beams

Bouakkaz, Khaled; Hadji, Lazreg; Zouatnia, Nafissa; Bedia, E.A. Adda

doi:10.12989/was.2016.23.1.059

Cited by 10 publications

(5 citation statements)

References 38 publications

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“…Some studies on non-uniform functionally graded beams are also available covering different perspectives [10][11][12][13][14][15][16][17]. While research on regular beams covered with functionally graded materials is rare, there are no studies on the natural frequencies of irregular non-uniform beams, coated with functionally graded materials [18][19][20][21][22][23][24]. Some research is done on nano beams and coated beams as well [25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Determination of natural frequencies of non‐uniform aluminum beams coated with functionally graded material

Pekel,

Erdurcan

2024

Materialwissenschaft Werkst

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The present study comprises a numerical analysis used to find the dimensionless natural frequencies of non‐uniform aluminum beams coated with functionally graded material. The beams have variable width, and their variation is described by exponential and linear functions. While the coating material properties vary with a polynomial function, the lamination theory is used to calculate the overall properties of the functionally graded material coating. The beam is modeled as a modified Timoshenko beam and the gradual transition of the coating material properties as 25 layers of homogeneous isotropic material. In order to find the natural frequencies of the beam, finite element analysis was used, and the numerical results were processed with MATLAB, which were in good agreement with literature values. A parametric study is performed to study the effects of slenderness (L/H), coating thickness (h/H), skewness rate (S) and taper ratio (w2/w1) on the dimensionless natural frequencies. The study showed that tapering and skewing had a limited effect on the natural frequencies in general, however there exists a critical slenderness for every taper ratio and skewness rate where shape variation has a significant effect on the natural frequencies and should be considered.

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Section: Introductionmentioning

confidence: 99%

Determination of natural frequencies of non‐uniform aluminum beams coated with functionally graded material

Pekel,

Erdurcan

2024

Materialwissenschaft Werkst

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“…They utilized Chebyshev collocation method to solve the bending natural frequencies of FG beam. Bouakkaz et al 7 developed a hyperbolic shear deformation beam theory for free vibration analysis of FG sandwich beams. The assumed core layer of the beam is made of a homogeneous and isotropic material, and the material properties of the beam vary according to power law distribution of the volume fraction of the constituents.…”

Section: Introductionmentioning

confidence: 99%

An approach for predicting longitudinal free vibration of axially functionally graded bar by artificial neural network

Demir

Sayer

Çallıoğlu

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this study, an Artificial Neural Network (ANN) model is designed for the analysis of the longitudinal free vibration of an axially Functional Graded (FG) bar. The material of the bar is varied from one end to the other end according to power law function. Aluminum and Alumina and the mixture of these two materials are used in the analysis. The radius of the bar is also varied along to the longitudinal direction according to power law function. In addition, the effect of the variation in the slenderness ratio is also investigated. An ANN code is written in Matlab in order to obtain a generalized approach for vibration analysis of the FG bar. In the ANN training, some results of free vibration analysis obtained from the SolidWorks program based on Finite Element Method are used. The predicted values that are not used in the training are also obtained in SolidWorks for comparison. A Matlab program code, which based ANN method is used to find new values to be predicted. The process is also made for comparison with the ANN based Matlab nntool program. When the results obtained from SolidWorks and prepared Matlab code and Matlab nntool are compared, it is seen that the results are in harmony. AMS subject classifications: 74H45, 68T07

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“…There is one experimental study available [17]. Three analytical studies can also be found [18–20]. Some researchers have investigated micro‐ and nanobeams as well [21–26].…”

Section: Introductionmentioning

confidence: 99%

Modal analysis of an aluminum beam coated with damaged and porous functionally graded material

Erdurcan

Cunedioĝlu

2021

Materialwissenschaft Werkst

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In this paper modal analysis is performed on a symmetric aluminum beam which is coated with functionally graded material containing porosities. A polynomial function is used to vary the density and elasticity through the thickness of the coating, while the effective elastic modulus and density are found with classical lamination theory. To achieve a truthful modeling the gradually changing mechanical properties of the coating are modeled as 25 layers of material, while each individual layer is isotropic and homogeneous. MATLAB is used to write a finite element code and Timoshenko beam elements are used to include shear deformation effects. To show the influences of crack location, crack depth, porosity and the polynomial function index on the natural beam frequencies a parametric study is conducted. Multiple boundary conditions were also considered and it was found that the natural frequency values were significantly affected by the studied parameters.

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An analytical method for free vibration analysis of functionally graded sandwich beams

Cited by 10 publications

References 38 publications

Determination of natural frequencies of non‐uniform aluminum beams coated with functionally graded material

Determination of natural frequencies of non‐uniform aluminum beams coated with functionally graded material

An approach for predicting longitudinal free vibration of axially functionally graded bar by artificial neural network

Modal analysis of an aluminum beam coated with damaged and porous functionally graded material

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