Nonlinear vibration of functionally graded fiber-reinforced composite laminated cylindrical shells in hygrothermal environments

Abstract

a b s t r a c tThe effect of hygrothermal conditions on the linear and nonlinear free flexural vibration of anisotropic shear deformable laminated cylindrical shells is investigated. The cylindrical shell is made of fiber-reinforced composites (FRCs) with the reinforcement being distributed either uniformly (UD) or functionally graded (FG) of piece-wise type along the thickness of the shells. The motion equations are based on a higher order shear deformation shell theory with a von Kármán-type of kinematic nonlinearity. The hygrothermal effects are also included, and the material properties of FRCs are estimated through a micromechanical model and are assumed to be temperature-dependent and moisture-dependent. The equations of motion are solved by a singular perturbation technique along with a two-step perturbation approach to determine the linear and nonlinear frequencies of the FRC laminated cylindrical shells. Detailed parametric studies are carried out to investigate effects of material property gradient, the temperature change, the degree of moisture concentration, shell geometric parameter, stacking sequence, as well as the end conditions on the vibration characteristics of FRC shells with polymer matrix. The results show that the temperature/moisture variation has a moderately effect on the natural frequencies of the FRC cylindrical shells, but only has a small effect on the nonlinear to linear frequency ratios of the same shell.

Wave propagation characteristics in a piezoelectric coupled laminated composite cylindrical shell by considering transverse shear effects and rotary inertia

“…Many studies have also been conducted on vibration, bending, and buckling of laminated composite plates [15,[163][164][165]16,[166][167][168][169][170][171], and shells [172][173][174][175][176][177][178][179][180][181] in hygrothermal environments.…”

“…Malekzadeh and Heydarpour [174] investigated the free vibration behavior of rotating functionally graded cylindrical shells subjected to the temperature change using the first-order shear deformation shell theory. The effects of hygrothermal environmental conditions on the linear and nonlinear free flexural vibration of anisotropic shear deformable laminated cylindrical shells were investigated by Shen and Yang [176], where the cylindrical shell is made up of fiber-reinforced composites with the reinforcement being distributed either uniformly or functionally graded of piece-wise type along the thickness of the shells and the motion equations were derived based on a higher order shear deformation shell theory with a von Kármán-type of kinematic nonlinearity, and the results displayed that the temperature and moisture variations have a moderate effect on the natural frequencies. Biswal et al [178] studied the effects of hygrothermal environmental conditions on free vibration of woven fiber glass/epoxy laminated composite cylindrical shallow shells both numerically and experimentally based on the FEA and the first-order shear deformation shell theory, where the results showed that the frequency of vibration decreases with the increase of temperature and moisture.…”

“…As the second example, a [0 °/90 °/0 °] cross-ply laminated composite cylindrical shell with C-C boundary condition is considered and the non-dimensional frequencies 𝛺 = 𝜔𝑅√𝜌 𝐸 22 ⁄ are computed and compared in Table 3.5 with the results of Jin et al [149] based on the Love bending shell theory for axial mode 𝑚 = 1 and circumferential modes 𝑛 = 1, 2, 3, 4, 5, 6. and [0 °/90 °/0 °] cross-ply laminated composite cylindrical shells with various boundary conditions are calculated and compared in Table 3.6 with the results of Malekzadeh et al [148] based on the layer wise-differential quadrature (LW-DQ) method, the results of Khdeir et al [138] based on the state-space technique, the results of Shen and Yang [176] using the higher-order shear deformation shell theory, and the results of Lam et al [213] using the Ritz method. 0.1085…”

Nonlinear vibration analysis of multiscale doubly curved piezoelectric composite shell in hygrothermal environment

“…The nonlinear bending of hybrid plates including carbon nanotube reinforcement (CNTRC) embedded in elastic foundations has been researched by Fan and Wang (2017). The fundamental frequency of FGM doubly curved shell embedded in elastic foundation has been presented by Shen and Yang (2015). They discussed the inflence of volume fraction index, Pasternak foundation, curveture ratio, and other parameter on the nonlinear frequency.…”

Nonlinear free and forced vibration analysis of multiscale composite doubly curved shell embedded in shape-memory alloy fiber under hygrothermal environment

“…(2017a). The fundamental frequency of functionally graded materials (FGM) doubly curved shell embedded in elastic foundation have been presented by Shen et al. (2015).…”