Free vibration and buckling of functionally graded porous beams using analytical, finite element, and artificial neural network methods

Turan, Muhittin; Yaylacı, Ecren Uzun; Yaylacı, Murat

doi:10.1007/s00419-022-02332-w

Cited by 51 publications

(13 citation statements)

References 53 publications

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“…Numerous studies focus on the effect of porosity in one-directional FGBs with finite element methods. These studies highlight the influence of porous structures on the mechanical behavior and performance of the beams, providing valuable insights into critical parameters such as durability and load-carrying capacity [1][2][3][4][5][6][7][8][9][10][11]. On the other hand, research conducted using finite element methods on the porosity effect of bi-directional functionally graded beams is also noteworthy.…”

Section: Introductionmentioning

confidence: 99%

Mixed series solution for vibration and stability of porous bi-directional functionally graded beams

Turan

2024

Arch Appl Mech

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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 (px, pz), 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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Section: Introductionmentioning

confidence: 99%

Mixed series solution for vibration and stability of porous bi-directional functionally graded beams

Turan

2024

Arch Appl Mech

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“…Adiyaman et al [14] also presented the contact problems of FGM beams for studying the behavior of materials. Turan et al [15] presented the frequencies and buckling of FGM porous beams by using the FSDT, FEM, and artificial neural network (ANN) methods. There were seldom investigations of the improved shear correction factors on the very thick plates and shells.…”

Section: Introductionmentioning

confidence: 99%

Advanced frequency of thick FGM cylindrical shells with fully homogeneous equation

Hong

2024

JSEAM

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The effects of shear deformation theory and improved shear correction factors on the advanced computation of frequencies by using the fully homogeneous equation for thick functionally graded material (FGM) circular cylindrical shells are studied. It is quite reasonable to consider the extra advanced effect of third-order shear deformation theory (TSDT) of displacements on the varied shear correction coefficient. The values of advanced nonlinear shear correction coefficient are usually functions of the nonlinear coefficient term in TSDT, power-law exponent parameter, and environment temperature. The main achievements in the nonlinear case of displacements and with the varied value of shear correction coefficients, the non-dimensional fundamental frequencies are estimated, investigated, and compared with the values in the linear case. This paper aims to study the fundamental frequencies of very thick FGM cylindrical shells under the advanced effects of shear deformation theory and improved shear correction factors.

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“…Prismatic and hollow cross-sectional pipeline models are analyzed for critical buckling loads, taking thermal effects into account [5]. Free vibration and buckling analysis of functionally graded porous beams are conducted under various boundary conditions [6]. A technique for enhancing the buckling strength of vertically placed panels with horizontal stiffeners is proposed [7].…”

Section: Introductionmentioning

confidence: 99%

Buckling Analysis of Vertical Structures: A Comprehensive Finite Element Study

Saeed,

Khubnani,

Ediga

et al. 2024

E3S Web of Conf.

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Buckling analysis of a vertical structures is crucial in structural design for various loads, and simultaneously, reducing the long structures mass is essential for minimizing weight and cost. This study involves the analysis of long structures with rectangular and circular cross-sections under compressive loads, calculating the buckling load multiplier. Additionally, hollow rectangular and hollow circular columns are designed and analyzed under the same load and boundary conditions as the solid counterparts. By varying the hollowness of the rectangular and circular columns, the buckling load and the percentage of mass saved compared to solid columns are determined. At the same volume of material, the rectangular structure exhibits a 3% higher load multiplier than the circular structure. Increasing mass reduction by introducing hollowness also decreases the buckling load multiplier.

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Free vibration and buckling of functionally graded porous beams using analytical, finite element, and artificial neural network methods

Cited by 51 publications

References 53 publications

Mixed series solution for vibration and stability of porous bi-directional functionally graded beams

Mixed series solution for vibration and stability of porous bi-directional functionally graded beams

Advanced frequency of thick FGM cylindrical shells with fully homogeneous equation

Buckling Analysis of Vertical Structures: A Comprehensive Finite Element Study

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