Free vibration of axially loaded functionally graded carbon nanotube-reinforced composite curved beams

  • Nguyen Ngoc Duong Faculty of Civil Engineering, Ho Chi Minh City University of Technology and Education, No. 1 Vo Van Ngan Street, Thu Duc Ward, Ho Chi Minh City, Vietnam
  • Nguyen Ngoc Hieu Faculty of Civil Engineering, Ho Chi Minh City University of Technology and Education, No. 1 Vo Van Ngan Street, Thu Duc Ward, Ho Chi Minh City, Vietnam
  • Phan Thanh Thi Faculty of Civil Engineering, Ho Chi Minh City University of Technology and Education, No. 1 Vo Van Ngan Street, Thu Duc Ward, Ho Chi Minh City, Vietnam
  • Bui Van Tai Faculty of Civil Engineering, Ho Chi Minh City University of Technology and Education, No. 1 Vo Van Ngan Street, Thu Duc Ward, Ho Chi Minh City, Vietnam
DOI: https://doi.org/10.31814/stce.huce2025-19(3)-07
Keywords: FG-CNTRC curved beam, higher-order shear deformation theory, Ritz method, free vibration, buckling

Abstract

This study analyzes the free vibration of axially graded functionally graded carbon nanotube-reinforced composite (FG-CNTRC) curved beams. The theoretical framework employed is based on higher-order shear deformation theory. The governing equations are formulated using the Lagrange equation. A Ritz procedure is implemented to compute the beams’ natural frequencies and critical buckling loads under diverse boundary conditions. Several numerical examples are presented to substantiate the efficacy of the proposed theory and method. Furthermore, the study explores the influences of boundary condition, curvature, slenderness ratio, distribution pattern, and fractional volume of the reinforcing materials on the free vibration and buckling behaviors of the FG-CNTRC curved beams.

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Published
25-09-2025
How to Cite
Duong, N. N., Ngoc Hieu, N., Thanh Thi, P., & Tai, B. V. (2025). Free vibration of axially loaded functionally graded carbon nanotube-reinforced composite curved beams. Journal of Science and Technology in Civil Engineering (JSTCE) - HUCE, 19(3), 81-97. https://doi.org/10.31814/stce.huce2025-19(3)-07
Issue
Vol 19 No 3 (2025)
Section
Research Papers

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