Natural Frequency Analysis of Functionally Graded Porous Beams Using Hyperbolic Shear Deformation Theory
Journal Title: GeoStruct Innovations - Year 2024, Vol 2, Issue 3
Abstract
The free vibration characteristics of functionally graded porous (FGP) beams were investigated through the application of hyperbolic shear deformation theory (HSDT). The material properties were described using a modified rule of mixtures, incorporating the porosity volume fraction to account for various porosity distribution types, enabling the continuous variation of properties across the beam thickness. The kinematic relations for FGP beams were formulated within the framework of HSDT, and the governing equations of motion were derived using Hamilton’s principle. Analytical solutions for free vibration under simply supported boundary conditions were obtained using Navier’s method. Validation was conducted through comparisons with existing data, demonstrating the accuracy and reliability of the proposed approach. The effects of porosity distribution patterns, power-law indices, span-to-depth ratios, and vibrational mode numbers on the natural frequency values of FGP beams were comprehensively examined. The findings provide critical insights into the influence of porosity and geometric parameters on the dynamic behavior of functionally graded (FG) beams, offering a robust theoretical foundation for their design and optimization in advanced engineering applications.
Authors and Affiliations
Burak İkinci, Lazreg Hadji, Mehmet Avcar
Keywords
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- EP ID EP753600
- DOI https://doi.org/10.56578/gsi020302
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