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Free vibration behavior analysis of sandwich FGM beams by quasi-3D shear deformation theory and finite element method

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Authors

  • Phuong Minh Bui \(^1\) Faculty of Applied Sciences, Ho Chi Minh City University of Technology (HCMUT), 268 Ly Thuong Kiet Street, Dien Hong Ward, Ho Chi Minh City, Vietnam
    \(^2\) Vietnam National University Ho Chi Minh City, Linh Trung Ward, Ho Chi Minh City, Vietnam
    https://orcid.org/0000-0002-4634-383X
  • Thien Tich Truong \(^1\) Faculty of Applied Sciences, Ho Chi Minh City University of Technology (HCMUT), 268 Ly Thuong Kiet Street, Dien Hong Ward, Ho Chi Minh City, Vietnam
    \(^2\) Vietnam National University Ho Chi Minh City, Linh Trung Ward, Ho Chi Minh City, Vietnam
    https://orcid.org/0000-0002-3371-8890

DOI:

https://doi.org/10.15625/0866-7136/23915

Keywords:

quasi-3D shear deformation theory, FEM, sandwich FGM structures, free vibration

Abstract

This study uses the finite element method to analyze the mechanical behavior and free vibration of sandwich FGM beams based on quasi-3D shear deformation theory. The material properties of sandwich FGM beams are developed based on the principle of continuously changing material properties along the $z$-axis. The novel point of this work is the application of a quasi-3D shear deformation theory to analyze the free vibration of sandwich FGM beams, providing higher accuracy than lower-order theories. The theoretical basis and FEM calculation methods are used to solve the free vibration problem of two-phase functionally graded sandwich beams (1D-FGSW) with a homogeneous core under the following boundary conditions: simply supported (SS), clamped-clamped (CC), and clamped-free (CF).

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References

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Published

29-07-2026

How to Cite

Bui, P. M., & Truong, T. T. (2026). Free vibration behavior analysis of sandwich FGM beams by quasi-3D shear deformation theory and finite element method. Vietnam Journal of Mechanics. https://doi.org/10.15625/0866-7136/23915

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