A three-dimensional layerwise-differential quadrature free vibration analysis of laminated cylindrical shells

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

“…The material properties of fibers are assumed to be anisotropic and are taken to be [4] As part of the validation of the present method, the curves of natural frequency as function of circumferential wave number for an isotropic thin cylindrical shell are plotted in Fig. 2 and are compared with experimental results of Sewall and Naumann [43], the Ritz method results of Naeem and Sharma [44], and the Galerkin method results of Sofiyev and Aksogan [45] Table 1 with the differential quadrature (DQ) method results of Malekzadeh et al [47], the state-space technique solutions of Khdeir et al [48], and the Ritz method results of Lam et al [49]. The computing data adopted are: R/h = 5, E 11 /E 22 A uniformly distributed fiber reinforced composite (UD-FRC) laminated shell with the same thickness is also considered as a comparator for which the fiber volume fraction of each ply is identical and V f = 0.6.…”

Nonlocal effect on the free vibration of short nanotubes embedded in an elastic medium

“…where A r i j and B r i j represent the weighting coefficients of the first and second-order derivatives along the r -direction, respectively [27][28][29][30][31][32]. The cosine-type grid generation rule [27][28][29][30][31][32] …”

“…Hence, in this paper, the vibration of short NTs embedded in elastic media is studied using the 3D nonlocal elasticity theory. The differential quadrature method [27][28][29][30][31][32] in conjunction with the series solution is employed to solve the governing equations. The effects of nonlocal parameter together with the geometrical parameters and also the stiffness parameter of the elastic medium on the natural frequencies are studied.…”

Axisymmetric buckling analysis of laterally restrained thick annular plates using a hybrid numerical method

“…At this stage, the DQ method [22][23][24][25][26][27] can be applied to discretize the equilibrium equations (19) and (20) and the boundary conditions (21) and (22). As a result, at each domain grid point K with K ¼ 2; .…”

“…This led to the study of the linear and nonlinear problems of beams, plates and shells using DQ method by some researchers, see for examples Refs. [22][23][24][25][26][27].…”