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Determining numerically the Natural Frequency of Porous Functionally Graded Beam

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Document Type : Research Article

Abstract

In this work, the free vibration investigation of a porous functionally graded (FG) beam with the material properties varying along the height of the beam utilizing first-order shear-deformation theory and under (clamped-clamped, clamped-free, and simply supported) boundary conditions is studied. The power-law model describes the material properties. The materials used in a typical case of functionally graded (FG) beam consist of aluminum (AL) and Alumina (AL2O3). Two types of porosity distribution functions (even and uneven) are considered. The finite element model is applied by utilizing the ANSYS APDL version 17.2 and using element "SHELL281 to calculate the natural frequencies and show the influences of length-to-height ratio (L/h), power-law index (K), porosity distribution model, and porosity index (α).  The numerical results are compared with some previous studies to check the accuracy of the present model, which shows a good agreement. Also, the new numerical results are used to investigate the effects of the porosity distribution function, power-law index, porosity index, and support types for the FG beam's first three non-dimensional frequency parameters. As the power-law index rises (K), the first three frequency parameters for even porous FG beams decrease, while increasing the porosity index decreases the frequency parameter. The impact of the power-law index and porosity index is observed in Uneven porous FG beams due to the porosity distribution in the cross-section area of the FG beam. The length-to-height ratio has minimal influence. Frequency parameters increase with higher mode numbers.

Keywords

References
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Mohammed A. Jebur and Luay S. Alansari “Free Vibration Analysis of Non-Prismatic Beam under Clamped and Simply Supported Boundary Conditions” Mathematical Modelling of Engineering Problems Vol. 10, No. 5, October, 2023, pp. 1630-1642. https://doi.org/10.18280/mmep.100513.

Kerbala Journal for Engineering Sciences
Volume 4, Issue 2
June 2024
Pages 103-140
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