Free vibration and buckling analyses of shear-deformable plates based on FSDT meshfree method

Liew, K.M.; Wang, J.; Ng, TP; Tan, Ming Jen

doi:10.1016/j.jsv.2003.08.026

Cited by 147 publications

(51 citation statements)

References 25 publications

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“…The results are provided in Figure 9 and Table 5. From numerical results, the present isogeometric solution have a good agreement with reference solutions which were produced by using RayleighRitz method (Kitipornchai et al, 1993) and meshfree method (Liew et al 2004) respectively. It is found to be that the present isogeometric solutions generally exist between two reference solutions for most cases.…”

Section: Square Platesupporting

confidence: 64%

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Vibration and Buckling of Thick Plates using Isogeometric Approach

Lee¹,

Kim²

2013

Architectural research

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A study on the free vibration and linear buckling analyses of thick plates is described in this article. In order to determine the natural frequencies and buckling loads of plates, a plate element is developed by using isogeometric approach. The Non-uniform B-spline surface (NURBS) is used to represent both plate geometry and the unknown displacement field of plate. All terms required in isogeometric formulation are consistently derived by NURBS definition. The capability of the present plate element is demonstrated by using several numerical examples. From numerical results, it is found to be that the present isogeometric element can predict accurate natural frequencies and buckling loads of plates.

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Section: Square Platesupporting

confidence: 64%

“…It is found to be that the present isogeometric solutions generally exist between two reference solutions for most cases. (Liew et al, 2004); Ref2: Rayleigh-Ritz method (Kitipornchai et al, 1993).…”

Section: Square Platementioning

confidence: 99%

Vibration and Buckling of Thick Plates using Isogeometric Approach

Lee¹,

Kim²

2013

Architectural research

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“…to equation system (34). For example, in the case of Neumann boundary conditions, this subsystem can be used to impose derivative boundary valueŝ…”

Section: Irbfn Expressions On a Grid Line (1d-irbf Scheme)mentioning

confidence: 99%

“…Liew et al [33] adopted a moving least squares differential quadrature (MLSDQ) method for predicting the free vibration behaviour of square, circular and skew plates with various boundary conditions. A meshfree method based on the reproducing kernel particle approximate for the free vibration and buckling analyses of sheardeformation plates was conducted by Liew [34]. In this method, the essential boundary conditions were enforced by a transformation technique.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of laminated composite plates based on FSDT using one-dimensional IRBFN method

Ngo-Cong

Mai‐Duy

Karunasena

et al. 2011

Computers & Structures

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This paper presents a new effective radial basis function (RBF) collocation technique for the free vibration analysis of laminated composite plates using the first order shear deformation theory (FSDT). The plates, which can be rectangular or non-rectangular, are simply discretised by means of Cartesian grids. Instead of using conventional differentiated RBF networks, onedimensional integrated RBF networks (1D-IRBFN) are employed on grid lines to approximate the field variables. A number of examples concerning various thickness-to-span ratios, material properties and boundary conditions are considered. Results obtained are compared with the exact solutions and numerical results by other techniques in the literature to investigate the performance of the proposed method.

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“…The following triplets indicate the number of elements along a, b and the third digit stands for the number of elements on the external edge (correspondent to one-quarter of the plate). Thus, b/a = 1.5 has (2,3,5), (4,6,8), (8,12,14), (16,24,24), (32,48,50), (36,52,54), (40,56,58). b/a = 2 has (1,2,4), (2,4,6), (4,8,8), (8,16,16), (16,32,32), (24,48,48), (32,64,64).…”

Section: Elliptic 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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Free vibration and buckling analyses of shear-deformable plates based on FSDT meshfree method

Cited by 147 publications

References 25 publications

Vibration and Buckling of Thick Plates using Isogeometric Approach

Vibration and Buckling of Thick Plates using Isogeometric Approach

Free vibration analysis of laminated composite plates based on FSDT using one-dimensional IRBFN method

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

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