Analysis of Bending Deflections of Functionally Graded Beams by Using Different Beam Theories and Symmetric Smoothed Particle Hydrodynamics

Karamanlı, Armağan

doi:10.19072/ijet.259394

Cited by 4 publications

(2 citation statements)

References 72 publications

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“…where the axial and transverse displacements of any point on the neutral axis are (u and w) respectively, while (u 1 ) is a function that characterizes the effect of transverse shear strain on the middle surface of this FGB. Finally, f(z) is the shape function that is used to find the distribution of transverse shear stress and strain over the thickness direction and they have the following forms in this work: in the CBT, f (z) = 0; in the FSDT, f (z) = z; in the HSDT, f(z) =4z 3 /3h 2 (Karamanli 2016).…”

Section: Methodsmentioning

confidence: 99%

Modeling and Analyzing the Free Vibration of Simply Supported Functionally Graded Beam

Neamah

Nassar

Al-Ansari

2022

J. Aerosp. Technol. Manag.

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Euler, Timoshenko and high shear deformation theories to analyze the free vibration of the functionally graded (FG) beam were developed. The mechanical properties of this beam were assumed to differ in thickness direction according to the model of a power-law distribution. The principle of Hamilton was used to find equations of motion. For free vibration, the analytical solution of these equations was presented using the Navier method. The effect of power index, aspect ratio, modulus ratio, and deformation theories on dimensionless frequency were studied numerically by Ansys software and analytically according to different beam theories using the Fortran program. The obtained results from these programs were compared with each other and with some previous research. Results showed an excellent agreement with the previous research. The numerical and analytical results showed that the use of this new FG beam model especially based on first and high shear deformation theories leads to the reduction of dimensionless frequency. It may be concluded that, the including of shear's effect leads to a decrease in the dimensionless frequency. From the modeling and analysis of this model, it is possible to know what is the appropriate design for this FG beam model to reduce the vibration.

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Section: Methodsmentioning

confidence: 99%

Modeling and Analyzing the Free Vibration of Simply Supported Functionally Graded Beam

Neamah

Nassar

Al-Ansari

2022

J. Aerosp. Technol. Manag.

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“…In this case, the structure is uniformly discretized and the particles' number on thickness is 4, 5, 8, 10, 20, respectively. The transverse deflection of the central point is compared to the analytical solution given in [13,14], which is shown in Table 1. In the above table, EBT means the analytical solution using Euler Bernoulli Beam Theory and TBT using Timoshenko Beam Theory.…”

Section: Numerical Applicationsmentioning

confidence: 99%

Bending Analysis of Functionally Graded Beam Resting on Elastic Foundation by Meshless SPH Method

Lin

Guan

et al. 2017

MSF

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The numerical simulation of the bending analysis of Functionally Graded Beam (FGB) is based on a truly meshless Smoothed Hydrodynamic Particle (SPH) method, where the inherent deficiencies were reduced by introducing Corrective Smoothed Particle Method (CSPM) and Total Lagrangian (TL) formulation. The mechanical and physical properties through the thickness of FGB were explained using a power law. The performance of the present SPH method was validated by comparison of solutions of numerical application with the analytical solutions.

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Approximate Solutions for Bending of Beams and Buckling of Columns Made of Functionally Graded Materials

Numayr,

Haddad,

Al-Taani

2024

J. Inst. Eng. India Ser. A

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Analysis of Bending Deflections of Functionally Graded Beams by Using Different Beam Theories and Symmetric Smoothed Particle Hydrodynamics

Cited by 4 publications

References 72 publications

Modeling and Analyzing the Free Vibration of Simply Supported Functionally Graded Beam

Modeling and Analyzing the Free Vibration of Simply Supported Functionally Graded Beam

Bending Analysis of Functionally Graded Beam Resting on Elastic Foundation by Meshless SPH Method

Approximate Solutions for Bending of Beams and Buckling of Columns Made of Functionally Graded Materials

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