Bending and buckling analysis of antisymmetric laminates using the moving least square differential quadrature method

Huang, Y. Q.; Li, Qiusheng

doi:10.1016/j.cma.2003.12.039

Cited by 74 publications

(25 citation statements)

References 37 publications

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“…By substituting the displacement field (36) into the set of partial differential governing equations (28) in temporal-spatial domain, a set of ordinary differential equations with variable coefficients toward meridional direction is produced as:…”

Section: Assumed-mode Methods and Gdqm Solution Of The Governing Equatmentioning

confidence: 99%

“…(1), (10), (12), (16), (20)(21)(22)(23) and (25) into Eq. (27), followed by applying Hamilton's principle to the energy function yields the matrix relationship below: (28) where the coefficients are differential operators of .…”

Section: Governing Equations Of Motionmentioning

confidence: 99%

“…The mathematical fundamentals and recent developments of the GDQ method as well as its major applications in engineering are discussed in detail by Shu [23]. It is worthwhile to note that the increasing interest of researches [24][25][26][27][28][29][30][31] in this procedure is mainly due to its great simplicity and versatility.…”

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confidence: 99%

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Dynamic Analysis and critical speed of rotating laminated conical shells with orthogonal stiffeners using generalized differential quadrature method

Daneshjou

Talebitooti

et al. 2013

Lat. Am. j. solids struct.

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This paper presents effects of boundary conditions and axial loading on frequency characteristics of rotating laminated conical shells with meridional and circumferential stiffeners, i.e., stringers and rings, using Generalized Differential Quadrature Method (GDQM). Hamilton's principle is applied when the stiffeners are treated as discrete elements. The conical shells are stiffened at uniform intervals and it is assumed that the stiffeners have similar material and geometric properties. Equations of motion as well as equations of the boundary condition are transformed into a set of algebraic equations by applying the GDQM. Obtained results discuss the effects of parameters such as rotating velocities, depth to width ratios of the stiffeners, number of stiffeners, cone angles, and boundary conditions on natural frequency of the shell. The results will then be compared with those of other published works particularly with a non-stiffened conical shell and a special case where angle of the stiffened conical shell approaches zero, i.e. a stiffened cylindrical shell. In addition, another comparison is made with present FE method for a non-rotating stiffened conical shell. These comparisons confirm reliability of the present work as a measure to approximate solutions to the problem of rotating stiffened conical shells.

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Section: Assumed-mode Methods and Gdqm Solution Of The Governing Equatmentioning

confidence: 99%

Section: Governing Equations Of Motionmentioning

confidence: 99%

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Dynamic Analysis and critical speed of rotating laminated conical shells with orthogonal stiffeners using generalized differential quadrature method

Daneshjou

Talebitooti

et al. 2013

Lat. Am. j. solids struct.

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“…The mesh in Abaqus are generated by setting the number of elements on the plate radius and one-quarter of the circumference, respectively. Therefore, the following discretizations have been considered: (5, 1), (10,5), (20,15), (30,25), (40,35), (50,45), (60,55). It is remarked that the present models consider the double symmetry of the structure by meshing all plate four quarters in the same way.…”

Section: Circular Platesmentioning

confidence: 99%

On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models

et al. 2018

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Abstract:The present work considers a computational study on laminated composite plates by using a linear theory for moderately thick structures. The present problem is solved numerically because analytical solutions cannot be found for such plates when lamination schemes are general and when all the stiffness constants are activated at the constitutive level. Strong and weak formulations are used to solve the present problem and several comparisons are given. The strong form is dealt with using the so-called Strong Formulation Finite Element Method (SFEM) and the weak form is solved using commercial Finite Element (FE) packages. Both techniques are based on the domain decomposition technique according to geometric discontinuities. The SFEM solves the strong form inside each element and needs the implementation of kinematic and static inter-element conditions, whereas the FE solves the weak form and the continuity conditions among the elements are given in terms of displacements only. The results are reported in graphical form in terms of the first three natural frequencies. The accuracy and stability of SFEM and FE are thoroughly discussed.

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“…Typically, Reddy et al [1] proposed a plate bending element accounted for buckling and vibration of laminates. Huang and Li [2] developed the moving least square differential quadrature method (MLSDQ). Recently, Belinha et al [3] and Dai et al [4] used the element free Galerkin method while the mesh -free radial basis function method is developed by Liu et al [5].…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of simply supported composite laminates subjected to an in-plane compression load by a novel mesh-free method

Bui

2011

Vietnam J. Mech.

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Abstract. Buckling analysis of composite laminates under an in-plane compression load based on the mesh -free Galerkin Kriging method is presented. The moving Kriging interpolation (MK) technique possessing the delta property is employed to construct the shape functions, and thus no special techniques for imposing the essential boundary conditions are required. The present formulation is based on the Krichhoff plate theory. The applicability, the accuracy and the effectiveness of the method are illustrated through a number of numerical examples. The results calculated by the proposed method are compared with those of existing reference solutions available in the literature and very good agreements are observed. It can be said that the proposed method can be considered as an alternative numerical technique in terms of meshfree methods.

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Bending and buckling analysis of antisymmetric laminates using the moving least square differential quadrature method

Cited by 74 publications

References 37 publications

Dynamic Analysis and critical speed of rotating laminated conical shells with orthogonal stiffeners using generalized differential quadrature method

Dynamic Analysis and critical speed of rotating laminated conical shells with orthogonal stiffeners using generalized differential quadrature method

On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models

Buckling analysis of simply supported composite laminates subjected to an in-plane compression load by a novel mesh-free method

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