Non‐linear analysis of moderately thick laminated plates and shell panels under thermo‐mechanical loadings

Abstract

Key wordsNon-linear analysis, cylindrical shell panel, generalized differential quadrature method, arbitrary boundary conditions, thermo-mechanical load.Non-linear bending analysis of moderately thick laminated plates and cylindrical panels with various thermo-mechanical loadings and boundary conditions is presented using generalized differential quadrature (GDQ) method together with the Newton-Raphson iterative scheme. Different symmetric and asymmetric lamination sequences together with various combinations of clamped, simply supported and free boundary conditions are considered. Assuming the effects of shear deformation and initial curvature, based on the first-order shear deformation theory (FSDT) and von Kármán-type of geometric non-linearity, the governing system of equations is obtained. This system includes thirteen non-linear partial differential equations (PDEs) in terms of unknown displacements, rotations, forces and moments. The solution domain, governing equations and related boundary conditions are then discretized based on the GDQ technique. It is observed that the method provides reasonably accurate results with relatively small number of grid points. Comparisons of the predictions with results of finite element analyses show very good agreement. More results for panels with particular boundary conditions are presented for future references.

Large Deflection Geometrically Nonlinear Bending of Porous Nanocomposite Cylindrical Panels on Elastic Foundation

“…The uniform 15 × 15 NEM grid shows a relative difference w re f c /h less than 5.0%, so this grid density is chosen for all of the numerical experiments in this paper. The load-deflection plots are comparatively represented in Figure 4a with Shen et al [23], Maleki and Tahani [43] and Thang et al [44]. An excellent agreement between the present method and three reference solutions is shown up to the nondimensional load q 0 = 45.…”

Nonlinear bending of nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments

“…2 with the differential quadrature method results of Maleki and Tahani [42], and the element-free kp-Ritz method results of Zhao and Liew [43]. [42], and Zhao and Liew [43].…”

“…As part of the validation of the present method, the loaddeflection curves for an isotropic cylindrical panel with four edges simply supported subjected to a uniform pressure are compared in Fig. 2 with the differential quadrature method results of Maleki and Tahani [42], and the element-free kp-Ritz method results of Zhao and Liew [43]. [42], and Zhao and Liew [43].…”

Boundary element analysis of stiffened panels with repair patches

“…Here, a BEM formulation combining all the previous features is presented and is applied to the study a complex stiffened structure. Recent advances in BEM [4,11,26,56] and its application to plate can be found in [15,7,46,45,66,27,63,73,44,16,37]. In this paper, the above formulations are extended to allow for modelling of complex structures including all the features of stiffeners and repair patches.…”