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

Demir, Ersin; Sayer, Metin; Çallıoğlu, Hasan

doi:10.1177/09544062221141246

Cited by 8 publications

(1 citation statement)

References 16 publications

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“…One way to describe the behavior of such materials is to use a model of linear elasticity theory with variable elastic moduli and density. There are a number of works that are devoted to the study of direct problems for given laws of properties of an inhomogeneous material [5][6][7]. In a number of cases, solutions were obtained numerically using the finite element method [8][9][10], and for some special cases, analytical solutions were obtained (see, for example [11][12][13]).…”

Section: Introductionmentioning

confidence: 99%

Efficient Numerical Methods of Inverse Coefficient Problem Solution for One Inhomogeneous Body

Vatulyan,

Uglich,

Dudarev

et al. 2023

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In the present paper, the problems of longitudinal and flexural vibrations of an inhomogeneous rod are considered. The Young’s modulus and density are variable in longitudinal coordinate. Vibrations are caused by a load applied at the right end. The proposed method allows us to consider a wider class of inhomogeneity laws in comparison with other numerical solutions. Sensitivity analysis is carried out. A new inverse problem related to the simultaneous identification of the variation laws of Young’s modulus and density from amplitude–frequency data, which are measured in given frequency ranges, is considered. Its solution is based on an iterative process: at each step, a system of two Fredholm integral equations of the first kind with smooth kernels is solved numerically. The analysis of the kernels is carried out for different frequency values. To find the initial approximation, several approaches are proposed: a genetic algorithm, minimization of the residual functional on a compact set, and additional information about the values of the sought-for functions at the ends of the rod. The Tikhonov regularization and the LSQR method are proposed. Examples of reconstruction of monotonic and non-monotonic functions are presented.

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Section: Introductionmentioning

confidence: 99%

Efficient Numerical Methods of Inverse Coefficient Problem Solution for One Inhomogeneous Body

Vatulyan,

Uglich,

Dudarev

et al. 2023

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Experimental study on large deflections of perforated composite plates

Demir

2023

J Braz. Soc. Mech. Sci. Eng.

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An experimental investigation on the large de ection of perforated composite plates is performed in this study. The fabrics of the composite plates are considered as unidirectional and woven. The effects of the variations in diameter, number and location of hole on plates are examined. The effects of the fabrics are also examined. One short edge of the composite plate is clamped, and a constant weight is hanged from the other short edge of the composite plate during the experiments. In order to prove the accuracy of the study done in the experiment, the large de ection analysis of the perforated plates is also made by the SolidWorks simulation program. SolidWorks simulation program is capable of performing large de ection analysis based on nite elements. When the results are examined, the large de ection is less in the woven type fabric and the large de ection value in the multi-hole specimens is higher than the singlehole ones. It is also determined that the increase in the distance of the hole position from the clamped end of the plate reduces the large de ection. As a result of the comparison of linear and nonlinear calculations, it is seen that non-linear calculation should be preferred especially if the applied force is large. When the experimental and the numerical results are compared, it is seen that the obtained results are compatible.

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Vibration analysis of sandwich functionally graded material plate with cut-outs using artificial neural network technique

Singh,

Rai,

Gupta

2024

Thin-Walled Structures

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

Cited by 8 publications

References 16 publications

Efficient Numerical Methods of Inverse Coefficient Problem Solution for One Inhomogeneous Body

Efficient Numerical Methods of Inverse Coefficient Problem Solution for One Inhomogeneous Body

Experimental study on large deflections of perforated composite plates

Vibration analysis of sandwich functionally graded material plate with cut-outs using artificial neural network technique

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