Dynamic analysis of thick beams with functionally graded porous layers and viscoelastic support

Akbaş, Şeref Doğuşcan; Bashiri, Abdullateef H.; Assie, Amr E.; Eltaher, Mohamed A.

doi:10.1177/1077546320947302

Cited by 19 publications

(4 citation statements)

References 42 publications

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“…In the design of FGMs with graded porosity, not only the size of the porosity is very important, but also their shape is extremely significant, depending on the type of application [18]. From an industrial point of view, it can be seen that materials with graded porosity in the medical industry have far more applications and several studies have been published in this field [19][20][21][22][23][24][25][26][27][28][29].…”

Section: Classification Based On Fgm Gradient Typementioning

confidence: 99%

Functionally graded materials (FGMs): A review of classifications, fabrication methods and their applications

Mohammadi

Rajabi

Ghadiri

2021

PAC

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Functionally graded materials (FGMs) are new materials whose properties change gradually in respect to their dimensions. This group of materials shows a tremendous improvement of previously used composite materials. FGM consists of two or more materials whose combination enables the achievement of specified properties in accordance with the desired application. The article gives an overview of different classifications, various fabrication methods and applications of the FGMs. It could also provide insight and perspective for researchers, university students and research and development teams since it has brought together diverse aspects of FGMs. As mentioned in section two, we took all FGMs fabrication methods under consideration, giving the reader an insight into how to make a product while satisfying the conditions of financial and mechanical efficiency. The classification section specifically goes over structures, types of gradients, sizes/scales, state of matter and finishes with the manufacturing processes. Section two deep dives into the fabrication methods used in the FGMs, which are divided into three sub-sections, including gas-based, liquid-based and solid-based. Lastly, various applications of the FGMs in different fields and industries, namely aerospace, energy, medicine, military, manufacturing and eventually other applications, are demonstrated.

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Section: Classification Based On Fgm Gradient Typementioning

confidence: 99%

Functionally graded materials (FGMs): A review of classifications, fabrication methods and their applications

Mohammadi

Rajabi

Ghadiri

2021

PAC

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“…In this research, the effect of porosity distribution on frequency analysis of one and multi directional FG beams is conducted. Frequency analysis of thick beams with functionally graded porous layers and viscoelastic support is investigated by Akbas et al (2021) utilizing Lagrange’s equations and FEM to extract and solve the equations.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear frequency behavior of cracked functionally graded porous beams resting on elastic foundation using Reddy shear deformation theory

Forghani

Bazargan-Lari

Zahedinejad

et al. 2022

Journal of Vibration and Control

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This paper presents the nonlinear frequency behavior of cracked functionally graded porous beams subjected to various boundary conditions using Reddy shear deformation theory and Green’s tensor together with the Von Karman geometric nonlinearity. The material properties of the beam vary exponentially in thickness direction. A generalized differential quadrature method (GDQM) in conjunction with a direct numerical iteration method is developed to solve the system of equations derived by means of Hamilton’s principle. Demonstrating the convergence of this method, the verification is performed by using extracted results from a previous study based on the Euler and Timoshenko beam theory. The results for extensive studies are provided to understand the influences of the different gradient indexes, vibration amplitude ratios, porosity indexes, shear and elastic foundation parameters, and boundary conditions on the nonlinear frequency behavior. The location of crack plays the significant role on the nonlinear frequency ratios. The frequency ratios hit the minimum when the crack is located in mid-span of the beam. In this regard, the effect of shear stiffness of foundation is much more than that of Winkler one in the increasing mid-span value of nonlinear frequency ratio. It is also shown that the crack location results in decline of frequency ratios in the mid-span of beam specially for the cracks located closer to surface, the deeper ones lead to get nonlinear frequency ratios rise much more due to the fact that the deeper the crack is, the weaker the crack section becomes. The results of this paper and the effects of these parameters can be used in the optimal design of functionally graded beams and in crack prediction, detection, and monitoring techniques.

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“…Heshmati and Daneshmand investigated the vibration analysis of nonuniform porous beams with porosity distribution in FG state [22]. Akbas ¸et al presented a dynamic analysis of thick beams with porous layers in FG and viscoelastic support [23].…”

Section: Introductionmentioning

confidence: 99%

Vibrations Evaluation of Functionally Graded Porous Beams in Thermal Surroundings by Generalized Differential Quadrature Method

Khakpour

Bazargan-Lari

Zahedinejad

et al. 2022

Shock and Vibration

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This study investigates how to obtain the natural frequency of functionally graded porous beams simply supported on an elastic substrate in thermal surroundings by the theory of third-order shear deformation. Temperature constantly changes in the beam thickness direction and step with the distribution of volume fraction power law of the ingredient has been affected on the material attributes. The distribution of uniform porosity at the pass phase is examined. To achieve the equations of governing, Hamilton's principle was carried out. To discretize these equations, the generalized differential quadrature method has been used. First, the approach's convergence is shown. Comparison with the results of other articles was performed for validation. Here, the impacts of numerous factors like index of power law, heat field type, temperature difference, slenderness ratio, and porosity coefficient and elastic substrate factors of a functionally graded porous beam on the natural frequencies were studied for simple boundary conditions. In addition to displaying these parameters’ impact on the beam’s thermomechanical evaluation, the conclusions also confirm the accuracy of the numerical technique used.

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Dynamic analysis of thick beams with functionally graded porous layers and viscoelastic support

Cited by 19 publications

References 42 publications

Functionally graded materials (FGMs): A review of classifications, fabrication methods and their applications

Functionally graded materials (FGMs): A review of classifications, fabrication methods and their applications

Nonlinear frequency behavior of cracked functionally graded porous beams resting on elastic foundation using Reddy shear deformation theory

Vibrations Evaluation of Functionally Graded Porous Beams in Thermal Surroundings by Generalized Differential Quadrature Method

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