Non-linear bending analysis of laminated sector plates using Generalized Differential Quadrature

Andakhshideh, Atieh; Maleki, Sattar; Aghdam, M.M.

doi:10.1016/j.compstruct.2009.08.007

Cited by 59 publications

(14 citation statements)

References 22 publications

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“…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.…”

Section: Introductionmentioning

confidence: 99%

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

2011

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Key words Transient analysis, cylindrical shell panel, general lay-ups, generalized differential quadrature method.Static and transient analysis of moderately thick laminated cylindrical shell panels with various loadings and boundary conditions are presented using generalized differential quadrature (GDQ) method. The governing system of transient partial differential equations of the shell panel is discretized in space and time domains using GDQ technique and Newmark's integration scheme, respectively. Different symmetric and asymmetric lamination sequences together with various combinations of clamped, simply supported and free boundary conditions are considered. Assuming effects of shear deformation and initial curvature, the governing partial differential equations (PDEs) including a system of fifteen first-order PDEs in terms of unknown displacements, rotations, moments, forces, and time are selected for the analysis. Solution domain, governing equations, and related boundary conditions are then discretized based on the GDQ technique. It is shown that the method provides reasonably accurate results with relatively small number of grid points. It is revealed that the method offers similar order of accuracy for all variables including displacements and stress resultants. Comparisons of the predictions with results of other analytical, numerical, and finite element analyses show very good agreement. More results for shell panels with various boundary conditions specially mixed boundary conditions are presented for future references.

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Section: Introductionmentioning

confidence: 99%

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

2011

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“…In 2010, Andakhshideh et al used the GDQ method to study the bending of laminated sector plates [1]. In 2010, Zhou used amplified magnetostrictive actuators to study a micro XY stage [2].…”

Section: Introductionmentioning

confidence: 99%

Rapid heating-induced vibration of composite magnetostrictive shells

Hong

2015

Mechanics of Advanced Materials and Structures

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The generalized differential quadrature (GDQ) method is used to obtain the computational results of three-layer cross-ply composite magnetostrictive shells under sudden uniform heat induced vibration. In the thermal vibration analyses of a laminated magnetostrictive shell, the sudden uniform heat input over its inner surface only and temperature load is linear of axial coordinate. The shell with velocity feedback control loop and with suitable gain value can reduce the amplitudes of displacement and stress to smaller value, respectively, almost in zero value due to the control law contribution of magnetostrictive layer.

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“…Shu and Richards [31] mainly used GDQ to provide solution for the 2-D Navier-Stokes equations. Since then, GDQ was used to obtain solution for various shell and plate elasticity problems [32][33][34][35]. However, to the extent of the authors' knowledge, dynamic analysis of general laminated plates, particularly with free edges subjected to general dynamic loadings, is not found in the literature.…”

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confidence: 98%

Transient response of laminated plates with arbitrary laminations and boundary conditions under general dynamic loadings

2011

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The dynamic analysis of laminated plates with various loading and boundary conditions is presented employing generalized differential quadrature (GDQ) method. The first-order shear deformation theory is considered to model the transient response of the plate. The GDQ technique together with Newmark integration scheme is employed to solve the system of transient equations governing dynamics of the plate. Different symmetric and asymmetric lamination sequences together with various combinations of clamped, simply supported, and free boundary conditions are considered. Particular interest of this study regards to asymmetric orthotropic plates having free edge and mixed boundary conditions. It is shown that the method provides reasonably accurate results with relatively small number of grid points. Comparison of the results with those of other methods demonstrates a very good agreement. It is also revealed that the present method offers similar order of accuracy for all variables including displacements and stress resultants.

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Non-linear bending analysis of laminated sector plates using Generalized Differential Quadrature

Cited by 59 publications

References 22 publications

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

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

Rapid heating-induced vibration of composite magnetostrictive shells

Transient response of laminated plates with arbitrary laminations and boundary conditions under general dynamic loadings

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