Investigating parametric homogenization models for natural frequency of FGM nano beams-Reference-Cited by-同舟云学术

Investigating parametric homogenization models for natural frequency of FGM nano beams

Published:2023 Issue:5 Volume:10 Page:891-908
ISSN:2372-0484
Container-title:AIMS Materials Science
language:
Short-container-title:AIMSMATES

Author:

Berkia Abdelhak¹,Rebai Billel²,Litouche Bilal³,Abbas Soufiane⁴,Mansouri Khelifa¹⁵

Affiliation:

1. Faculty of Sciences & Technology, Mechanical Eng Department, University Abbes Laghrour Khenchela, Algeria

2. Faculty of Sciences & Technology, Civil Eng Department, University Abbes Laghrour Khenchela, Algeria

3. Mechanic and Electro-Mechanic Department, University Center Abdelhafid Boussouf, Mila, Algeria

4. LMRS Laboratory, Faculty of Technology, University of Sidi Bel Abbes, Algeria

5. Laboratory of Eng and Sciences of Advanced Materials (ISMA), Khenchela, Algeria

Abstract

<abstract> <p>This research focuses on exploring the free vibration behavior of functionally graded (FG) nano-beams. To calculate the effective properties of the FG nano-beam, which varies solely in the thickness direction, the four homogenization schemes Mori-Tanaka, Tamura, Reuss and Voigt are employed. This study employs high-order shear deformation nano-beam theory and derives the governing equations of motion using nonlocal differential constitutive relations of Eringen. Hamilton's principle is utilized in conjunction with the refined three variables beam theory. The consideration of a length scale parameter accounts for small-scale effects. Analytical solutions are obtained for a simply supported FG nano-beam and compared with existing literature solutions. The research also investigates the influence of different homogenization schemes, the nonlocal parameter, beam aspect ratio and various material compositions on the dynamic response of the FG nano-beam.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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