Hygro-thermal effects on vibration and thermal buckling behaviours of functionally graded beams

Abstract

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On modal analysis of axially functionally graded material beam under hygrothermal effect

“…The results are obtained using FEA software COMSOL (version 5.2) with different meshing are displayed in Table 3. It can be observed from Figure 2 that results have conversed well with the results obtained in previously published work 63 with extra fine size meshing (35 mm), so this meshing is used for further computation. The % difference is calculated by using the formula [(reference)-(COMSOL)reference]×100.…”

“…Nguyen et al. 63 studied the hygrothermal effects on modal characteristics of FG beams. The Ritz solution method was adopted to solve the governing equations under (H-H, C-H, and C-C) boundary conditions.…”

“…It has been revealed from the literature 20–32,47–68 that the mechanical properties are varying smoothly along the thickness of the beam. To the author's best knowledge, modal analysis of FGM beam under hygrothermal effect where material properties are graded continuously along the length of the beam has not been reported in the literature before.…”

Free vibration of piezoelectric FGM sandwich beam with porous core embedded in thermal environment and elastic foundation

“…To reduce to the single-layer FGM beam, the conditions for layer structure in the analysis are set the same as the first validation. The material properties, as well as the relationship between stresses and strains, are chosen as the study by Nguyen et al [28] for the verification purpose. The first non-dimensional frequencies of the beam under UTR are presented in Table 6.…”

Buckling analysis of functionally graded beams with periodic nanostructures using doublet mechanics theory

“…They used an approximate Ritz method in the solution. Moreover, there are some important papers related to static and dynamic analyses of FG beams [6][7][8][9][10][11].…”