Application of Surface-Stress Driven Model for Higher Vibrations Modes of Functionally Graded Nanobeams

Giuseppe Lovisi; Luciano Feo; Annavirginia Lambiase; Rosa Penna

doi:10.20944/preprints202401.0738.v2

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preprints.org > chemistry and materials science > nanotechnology > doi: 10.20944/preprints202401.0738.v2

Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Application of Surface-Stress Driven Model for Higher Vibrations Modes of Functionally Graded Nanobeams

Giuseppe Lovisi

^* ,

Luciano Feo

Annavirginia Lambiase

Rosa Penna

Version 1 : Received: 9 January 2024 / Approved: 9 January 2024 / Online: 10 January 2024 (04:35:19 CET)
Version 2 : Received: 11 January 2024 / Approved: 11 January 2024 / Online: 11 January 2024 (12:23:53 CET)

A peer-reviewed article of this Preprint also exists.

Lovisi, G.; Feo, L.; Lambiase, A.; Penna, R. Application of Surface Stress-Driven Model for Higher Vibration Modes of Functionally Graded Nanobeams. Nanomaterials 2024, 14, 350. Lovisi, G.; Feo, L.; Lambiase, A.; Penna, R. Application of Surface Stress-Driven Model for Higher Vibration Modes of Functionally Graded Nanobeams. Nanomaterials 2024, 14, 350.

Abstract

This manuscript employs a surface stress-driven nonlocal model to explore the combined effects of long-range interaction and surface energy on higher vibration modes of functionally graded nanobeams. The nanobeam theory, based on Bernoulli-Euler kinematics, incorporates surface effects such as surface elasticity, surface residual stresses, surface density, and rotary inertia. Hamilton's principle is applied to derive the governing equation with size-dependent considerations. The main outcomes of a parametric investigation, considering four different kinematic boundary conditions (Cantilever, Simply-Supported, Clamped-Pinned, and Doubly-Clamped) while varying the nonlocal parameter and material gradient index, are presented and discussed. Additionally, the normalized natural frequencies for the second, third, fourth and fifth modes of vibrations are provided and analyzed for each case under study. The results underscore the model's effectiveness in capturing surface energy effects on the overall dynamic behavior of functionally graded Bernoulli-Euler nanobeams, offering a cost-effective approach for designing and optimizing nano-scaled structures.

Keywords

Functionally Graded (FG) Materials; Bernoulli-Euler Nanobeams; Stress-Driven Nonlocal Model; Free Vibration Analysis; Surface Energy Effects; Higher Vibration Modes

Subject

Chemistry and Materials Science, Nanotechnology

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Received: 11 January 2024
Commenter: Giuseppe Lovisi
Commenter's Conflict of Interests: Author

Comment: Dear Editors, I have corrected some writing errors.

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