A Ritz-type solution for free vibration and buckling analysis of functionally graded beams under hygro-thermal environment

被引：0
作者：
Nguyen, Thien-Nhan [1 ]
Nguyen, Ngoc-Duong [2 ,3 ]
机构：
[1] Kien Giang Univ, Fac Engn, 320A Route 61, Vinh Hoa Hiep, Kien Giang Prov, Vietnam
[2] Ho Chi Minh City Univ Technol & Educ, Fac Civil Engn, 1 Vo Van Ngan St, Thu Duc City, Vietnam
[3] Ho Chi Minh City Univ Technol & Educ, Fac Civil Engn, 1 Vo Van Ngan St, Ho Chi Minh City, Vietnam
来源：
STRUCTURES | 2025年 / 73卷
关键词：
Vibration; Buckling; Hygro-thermal load; Chebyshev function; Ritz method; Functionally graded beam; THERMOMECHANICAL ANALYSIS; LAMINATED COMPOSITE; SANDWICH PLATES; BOUNDARY-CONDITIONS; STABILITY ANALYSIS; THERMAL-STABILITY; FGM BEAMS; BEHAVIORS; KANTOROVICH; NANOBEAMS;
D O I：
10.1016/j.istruc.2025.108392
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
Thermal and moisture environments are prevalent in engineering applications. This paper introduces a Ritz-type solution based on the Chebyshev polynomials to investigate the effect of hygro-thermal conditions on the buckling and free vibration behaviours of functionally graded beams. A power-law distribution describes the smooth and continuous variation of material compositions across the beam thickness. Three types of functionally graded beams, including Silicon Nitride-Stainless Steel (Si3N4/SUS304), Alumina-Stainless Steel (Al2O3/ SUS304), and Zirconia-Stainless Steel (ZrO2/SUS304), are considered. The temperature and moisture profiles are examined under uniform, linear, and nonlinear scenarios. The beam displacement is based on Reddy's higher- order beam theory. The Lagrange equation is used to derive the governing equation. The Ritz method based on Chebyshev functions is developed to analyse functionally graded beams' buckling and free vibration responses. The influences of temperature and moisture variations, slenderness ratio, boundary condition, and material parameters on beams' critical buckling temperature and natural frequency are studied. The accuracy and effectiveness of the presented method are verified by comparing it with previous research.
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页数：17
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