Yazar "Turan, Muhittin" seçeneğine göre listele

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    Bending analysis of two-directional functionally graded beams using trigonometric series functions
    (Springer, 2022) Turan, Muhittin
    In the present paper, Navier's method based on the first-order shear deformation theory for bending analysis of two-directional functionally graded beams subjected to various sets of boundary conditions is presented. In Navier's method, different trigonometric series functions are proposed for each boundary condition. The accuracy of these proposed functions was investigated and compared with the literature. It is also presented in a parametric study. The governing equations are derived according to Lagrange's principle. The variation of the components of the beam material in the volume is defined by a power-law rule. The normalized maximum transverse deflections, the normalized axial and transverse shear stresses are obtained for various boundary conditions, gradation exponents (p(x), p(z)) in the x- and z-directions, and the slenderness (L/h). The trigonometric series functions used in this study give results that are quite compatible with the literature. In addition, the parametric study contributes to the literature.
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    Bending and Buckling Analysis of Porous 2D Functionally Graded Beams with Exponential Material Property Variation
    (Springer Science and Business Media Deutschland GmbH, 2024) Adiyaman, Gökhan; Turan, Muhittin
    The bending and buckling analysis of porous two-directional (2D) functionally graded (FG) beams was conducted using a higher-order shear deformation theory. The introduction of exponential functions to depict changes in material properties is a novel approach in the static analysis of 2D FG beams. Three distinct porosity distribution functions were taken into account. The governing equations were formulated through the application of Lagrange’s principle. During the numerical analysis, a finite element comprising two nodes and eight degrees of freedom was utilized. This choice facilitated accurate and efficient solutions, even for shorter beams, without the need for a shear correction factor. Notably, the obtained shear stresses aligned with actual values, registering as zero at both the top and bottom of the beam. The obtained results of the study were validated against findings reported in the literature. A parametric study was carried out to investigate the effects of porosity, porosity distributions, gradation parameters, slenderness, and boundary conditions on the non-dimensional deflections, stresses, critical buckling loads, and buckling mode shapes. It was found that both porosity and the distribution of porosity have noticeable effects on the static analysis of the beams. © The Author(s), under exclusive licence to Shiraz University 2024.
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    Buckling Analysis of Functionally Graded Beams Using the Finite Element Method
    (2022) Turan, Muhittin; Hacıoğlu, Mahmut İlter
    This study developed a finite element model according to higher-order shear deformation beam theory (HSDT) for the buckling analysis of functionally graded (FG) beams. Equilibrium equations of the FG beam are obtained from Lagrange’s equations. The beam element to be discussed within the scope of the study has 5 nodes and 16 degrees of freedom (DOF). As a result of the buckling analysis, the critical buckling load of the beam was obtained for various boundary conditions, power-law index (p), and slenderness (L/h). When the critical buckling loads obtained as a result of the analysis were compared with the literature, it was seen that they were quite compatible.
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    Free vibration and buckling analysis of functionally graded sandwich beams by Navier's method
    (Gazi Univ, Fac Engineering Architecture, 2021) Turan, Muhittin; Kahya, Volkan
    In this study, free vibration and buckling analyses of functionally graded (FGM) sandwich beams is investigated by Navier's method. Displacement field is defined according to the first order shear deformation theory, and the equations of motion are derived by the Lagrange's principle. Volumetric ceramic ratio is defined by a power-law rule. In the analytical solution, different trigonometric series functions are used for each end conditions considered. Two cases of functionally graded sandwich beams are considered: a) Homogeneous ceramic core and FGM faces (Type A), and b) FGM core and homogeneous faces (Type B). Natural frequencies and buckling loads are obtained for different boundary conditions, power-law indices and slenderness. Numerical results are compared with the available literature, and a good agreement are obtained between the results.
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    Free Vibration and Buckling Analysis of Porous Two-Directional Functionally Graded Beams Using a Higher-Order Finite Element Model
    (Springer Heidelberg, 2024) Turan, Muhittin; Adiyaman, Gokhan
    A new type of functionally graded material (FGM) with material properties varying in two or three directions is needed to obtain materials with better mechanical properties and high-temperature resistance for use in the military, aerospace, automotive, and engineering structures. Considering the porosity that occurs during the production of these materials, it has become necessary to examine the free vibration and buckling behaviors. Therefore, this study investigated free vibration and buckling analysis of porous two-directional functionally graded (2D FG) beams subject to various boundary conditions. A high-order finite element based on parabolic shear deformation theory (PSDT) is proposed to solve this problem. Three types of porosity distributions were used in the study (FGP-1, FGP-2, and FGP-3). The governing equations are derived from Lagrange's principle. The material change in the beam volume in both directions is defined by a power-law rule. The dimensionless fundamental frequencies and critical buckling loads are obtained for various boundary conditions, gradation exponents (p(x), p(z)), porosity coefficient (e), porosity distribution, and slenderness (L/h). The numerical results obtained with the proposed higher-order finite element are compatible with the literature.
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    Free vibration and buckling of functionally graded porous beams using analytical, finite element, and artificial neural network methods
    (Springer, 2023) Turan, Muhittin; Uzun Yaylaci, Ecren; Yaylaci, Murat
    In this study, an analytical solution based on the first-order shear deformation theory was performed for free vibration and buckling analysis of functionally graded porous beams (FGM-P) subjected to various boundary conditions. Also, this problem is solved by using finite element (FEM) and artificial neural network (ANN) methods. Here a Ritz-based analytical solution is used, and different polynomial series functions are proposed for each boundary condition. Lagrange's principle was used while deriving the equations of motion. A power-law rule describes the variation of the beam's materials in volume. The normalized fundamental frequencies and critical buckling loads are obtained for various boundary conditions, power-law index (k), slenderness (L/h), porosity coefficient (e), and porosity distribution (FGM-P1, FGM-P2). The polynomial series functions used in this study were verified with the literature, and the numerical results obtained were compared with FEM and ANN. The results obtained are quite compatible with each other.
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    Mixed series solution for vibration and stability of porous bi-directional functionally graded beams
    (Springer, 2024) Turan, Muhittin
    A new analytical solution based on the Ritz method is presented in this paper for analyzing the free vibration and buckling behavior of porous bi-directional functionally graded (2D-FG) beams under various boundary conditions. The solution is based on first-order shear deformation theory (FSDT). The selection of solution functions used in Ritz methods distinguishes the methods from each other and determines the accuracy of the analytical solution. To accurately capture the system's behavior and achieve the desired results, these functions have been carefully selected as a combination of polynomial and trigonometric expressions tailored as mixed series functions for each boundary condition. The study considers three types of porosity, namely PFG-1, PFG-2, and PFG-3. The equations of motion are derived using Lagrange's principle, taking into account the power-law variation of the beam material components throughout the volume. The non-dimensional fundamental frequencies and critical buckling loads are calculated for different boundary conditions, gradation exponents in the x and z directions (p x , p z ), slenderness (L/h), porosity coefficient (e), and porosity types. Initially, the accuracy of the mixed series functions is investigated for non-porous bi-directional functionally graded beams, and the numerical results are compared with existing literature to validate the proposed solution. Subsequently, the paper focuses on analyzing the influence of porosity on the free vibration and buckling behavior of bi-directional functionally graded beams using the developed solution method.
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    A New Higher-Order Finite Element for Static Analysis of Two-Directional Functionally Graded Porous Beams
    (Springer Heidelberg, 2023) Turan, Muhittin; Adiyaman, Gokhan
    A new higher-order finite element for the static analysis of two-directional functionally graded (2D FG) porous beams subjected to various boundary conditions based on parabolic shear deformation theory (PSDT) is presented. The main purpose of this study is to predict the deflections and stresses of 2D FG porous and non-porous beams with the help of the proposed finite element. Since a higher-order finite element with a third order polynomial is used, the deflections and stresses can be accurately and rapidly obtained even for short beams. In addition, the new higher-order element is free of shear locking phenomenon without requiring any shear correction factors. Three types of distribution functions were used for porosity in this study. To the author's knowledge, the sinusoidal uneven distribution function (FGP-3) is presented for the first time. The governing equations are derived by Lagrange's principle using a parabolic shear deformation theory that considers normal and shear deformations. According to a power-law rule, the material change in the beam volume in both directions is defined. The dimensionless maximum transverse deflections, normal stresses, and shear stresses are obtained for various boundary conditions, gradation exponents (p(x), p(z)) in the x- and z-directions, porosity coefficient (e), porosity distribution (FGP-1, FGP-2, FGP-3), and the slenderness (L/h). This study's new higher-order finite element gives results compatible with the literature and it can be used to accurately find the deflections and stresses for the 2D FG non-porous or porous beams subjected to various boundary conditions.
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    Research of the crack problem of a functionally graded layer
    (Techno-Press, 2024) Yaylaci, Murat; Yaylaci, Ecren Uzun; Turan, Muhittin; Ozdemir, Mehmet Emin; Ozturk, Sevval; Ay, Sevil
    In this study, the two-dimensional crack problem was investigated by using the finite element method (FEM)based ANSYS package program and the artificial neural network (ANN) -based multilayer perceptron (MLP) method. For this purpose, a half -infinite functionally graded (FG) layer with a crack pressed through two rigid blocks was analyzed using FEM and ANN. Mass forces and friction were neglected in the solution. To control the validity of the crack problem model exercised, the acquired results were compared with a study in the literature. In addition, FEM and ANN results were checked using Root Mean Square Error (RMSE) and coefficient of determination (R2), and a well agreement was found. Numerical solutions were made considering different geometric parameters and material properties. The stress intensity factor (SIF) was examined for these values, and the results were presented. Consequently, it is concluded that the considered non -dimensional quantities have a noteworthy influence on the SIF. Also FEM and ANN can be logical alternative methods to time-consuming analytical solutions if used correctly.
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    Use of trigonometric series functions in free vibration analysis of laminated composite beams
    (2020) Turan, Muhittin; Kahya, Volkan
    In this study, free vibration analysis of layered composite beams is performed by using an analytical method based on trigonometric series. Based on the first-ordershear deformation beam theory, the governing equations are derived from the Lagrange’s equations. Appropriate trigonometric series functions are selected to satisfythe end conditions of the beam. Navier-type solution is used to obtain natural frequencies. Natural frequencies are calculated for different end conditions and laminastacking. It was seen that the slenderness, E11/E22 and fiber angle have a significanteffect on natural frequency. The results of the study are quite compatible with theliterature.
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    Yüksek mertebe sonlu eleman modeliyle fonksiyonel derecelendirilmiş kirişlerin serbest titreşim ve statik analizi
    (2023) Turan, Muhittin; Hacıoğlu, Mahmut İlter
    Bu çalışmada, fonksiyonel derecelendirilmiş (FD) kirişlerin yüksek mertebeden kayma deformasyonlu kiriş teorisine dayalı sonlu eleman yöntemiyle serbest titreşim ve statik analizleri incelenmiştir. Sonlu elemanlar yöntemi için 5 düğümlü ve 16 serbestlikli bir sonlu eleman önerilmiştir. FD kirişin malzeme özelliği kiriş kalınlığı boyunca belli bir kuvvet kuralı fonksiyona bağlı olarak değişmektedir. Lagrange eşitliği ile denge denklemleri türetilmiştir. Farklı kuvvet fonksiyonu üst indisine (p), farklı sınır şartlarına ve farklı narinliklere (L/h) göre FD kirişin boyutsuz doğal frekansları, boyutsuz yer değiştirmeleri, boyutsuz normal ve kayma gerilmeleri elde edilmiştir. Çalışmadan elde edilen sonuçlar literatür ile karşılaştırılmış ve önerilen sonlu elemanın FD kirişler için oldukça uyumlu sonuçlar verdiği görülmüştür. Önerilen yüksek mertebeden kayma deformasyonlu kiriş elemanının bu tip problemlerin çözümünde kullanılabileceği sonucuna varılmıştır. Kuvvet fonksiyonu üst indis değerinin artmasıyla birlikte boyutsuz doğal frekanslar azalmakta, boyutsuz maksimum yer değiştirmeler ise artmaktadır.