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Background <p>It highlights the importance of studying the effects of different porosity distributions on the vibrations of functionally graded nanobeams.</p> Objective <p>It clearly states the goal of analyzing the impact of various porosity modes on free vibrations in FG nanobeams.</p> Methods <p>It describes the methodology, including the use of local and non-local theories, higher-order shear deformation theory (HSDT), and Hamilton’s principle for deriving governing equations and boundary conditions.</p> Results <p>It summarizes the findings from a parametric analysis, showing how different porosity distributions influence vibrational frequencies and mode shapes.</p> Conclusion <p>It emphasizes the potential of these findings to optimize the design of porous FG nanostructures.</p>

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A Comprehensive Investigation of the Impact of Porosity Modes on Nonlocal Free Vibration in FG Nanobeams Using HSDT

  • 期刊论文

  • 发表日期：

    2025年1月14日

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  • Tayeb Si Tayeb,
  • Abdelillah Benahmed,
  • Kaddour Rakrak,
  • Mohamed Zidour

摘要

Background

It highlights the importance of studying the effects of different porosity distributions on the vibrations of functionally graded nanobeams.

Objective

It clearly states the goal of analyzing the impact of various porosity modes on free vibrations in FG nanobeams.

Methods

It describes the methodology, including the use of local and non-local theories, higher-order shear deformation theory (HSDT), and Hamilton’s principle for deriving governing equations and boundary conditions.

Results

It summarizes the findings from a parametric analysis, showing how different porosity distributions influence vibrational frequencies and mode shapes.

Conclusion

It emphasizes the potential of these findings to optimize the design of porous FG nanostructures.