Bending analysis of moderately thick laminated conical panels with various boundary conditions

Abstract

Bending analysis of moderately thick laminated conical panels with various boundary conditions is presented using the generalized differential quadrature (GDQ) method. Different combinations of clamped, simply supported, and free boundary conditions are considered. General lay up of laminates including symmetric and asymmetric panels is considered. Assuming the effects of shear deformation and initial curvature, the governing partial differential equations (PDEs) of the problem consist of 15 first-order PDEs in terms of unknown displacements, rotations, moments, and forces. Solution domain, governing equations and related boundary conditions are then discretized based on the GDQ technique. Results revealed that convergence of the method is very fast as it provides reasonably accurate results with a relatively small number of grid points. It is also demonstrated that a similar formulation and solution technique can be used to obtain predictions for sector plates by assuming appropriate geometrical parameters. Comparison of the predictions with results of other analytical and numerical methods shows very good agreement. Further results for symmetric and asymmetric laminated conical panels with various boundary conditions are also presented and validated using the commercial finite-element code ABAQUS for future references.

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

“…Thus, numerical techniques, as alternatives to analytical approaches, have been developed to obtain solutions for different structural components subjected to various types of loading and boundary conditions. Among linear numerical studies, one can refer to the finite difference [1], finite element [2,3], boundary element [4], extended Kantorovich method [5,6], various meshless methods [7], differential quadrature (DQ) [8], differential cubature (DC) [9], and generalized differential quadrature (GDQ) [10][11][12] methods.…”

Static and transient analysis of laminated cylindrical shell panels with various boundary conditions and general lay‐ups

“…Thus, numerical techniques, as alternatives to analytical approaches, have been developed to obtain solutions for different structural components subjected to various types of loadings and boundary conditions. Among these numerical studies, one can refer to the finite difference [1], finite element [2,3], boundary element [4], dynamic relaxation [5], extended Kantorovich [6,7], meshless [8], differential quadrature (DQ) [9], differential cubature (DC) [10], and generalized differential quadrature [11][12][13] methods.…”

An investigation into the static response of fiber-reinforced open conical shell panels considering various types of orthotropy

“…This article is the completion of the work done by Maleki et al, 1 and a comprehensive set of results for various practical types of fiberreinforced conical shell panels is presented. Maleki et al 1 did not consider the variation in thickness and fiber orientation in the conical panels and, therefore, the presented cases were based only on the simulation of an unrealistic fabrication. Also, their work did not include various fabrication methods such as filament winding and prepreg molding.…”

“…In most research works published in the literature, it is assumed that the fibers are laid out in the meridional and circumferential directions. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] Figure 1 shows that for such a conical panel in the meridional fiberreinforced layers the distance between the fibers changes along the meridional coordinate. Therefore, for this type of lamina the material characteristics of macrostructure and hence the stiffness coefficients of lamina cannot be kept constant.…”

“…Maleki et al 1 studied bending analysis of moderately thick laminated open conical shell panels with various boundary conditions. Srinivasan and Krishnan 2 investigated the dynamic response of layered conical shell panel using integral equation technique.…”