Analysis of rectangular laminated composite plates via FSDT meshless method

Wang, J.; Liew, K.M.; Tan, Ming Jen; Rajendran, S.

doi:10.1016/s0020-7403(02)00057-7

Cited by 95 publications

(28 citation statements)

References 42 publications

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“…On the other hand, the mesh-free methods have become an alternative approach for problems with complex geometry and boundary conditions. Several mesh-free methods have been so far proposed for vibration analysis, including the Element Free Galerkin method (EFG) [4], the Moving Least Square Differential Quadrature method (MLSDQ) [5,6], the Radial Basis Function method (RBF) [7,8] and the Reproducing Kernel Particle method [9], etc. However, the complex approximation space of mesh-fee methods increases the computational cost of solving the resultant algebraic equation systems.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of laminated plate/shell structures based on FSDT with a stabilized nodal-integrated quadrilateral element

Nguyen‐Van

Mai‐Duy

Tran-Cong

2008

Journal of Sound and Vibration

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This paper reports numerical analyses of free vibration of laminated composite plate/ shell structures of various shapes, span-to-thickness ratios, boundary conditions and lay-up sequences. The method is based on a novel four-node quadrilateral element, namely MISQ20, within the framework of the first-order shear deformation theory (FSDT). The element is built by incorporating a strain smoothing method into the bilinear four-node quadrilateral finite element where the strain smoothing operation is based on mesh-free conforming nodal integration. The bending and membrane stiffness matrices are based on the boundaries of smoothing cells while the shear term is evaluated by 2 × 2 Gauss quadrature. Through several numerical examples, the capability, efficiency and simplicity of the element are demonstrated. Convergence studies and comparison with other existing solutions in the literature suggest that the present element is robust, computationally inexpensive and free of locking.

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Section: Introductionmentioning

confidence: 99%

Free vibration analysis of laminated plate/shell structures based on FSDT with a stabilized nodal-integrated quadrilateral element

Nguyen‐Van

Mai‐Duy

Tran-Cong

2008

Journal of Sound and Vibration

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“…Several developments have taken place in the analysis of composite plates using meshless methods. Among these, Belinha and Dinis [30] and Peng et al [31] have combined the EFG method and Wang et al [32] the RKPM with the FSDT to analyze deformations of composite laminates. Ferreira et al have successfully used global RBFs in the analysis of composite plates using the first- [33] and the third- [34] order shear deformation theories as well as a trigonometric layerwise deformation theory [35].…”

Section: Introductionmentioning

confidence: 99%

Analysis of thick composite laminates using a higher-order shear and normal deformable plate theory (HOSNDPT) and a meshless method

Xiao

Gilhooley

Batra

et al. 2008

Composites Part B: Engineering

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“…Some basic and advanced theories along with applications can be found in several monographs, e.g., see [44,45]. Various approaches have been proposed and applied so far to analyses of laminated composites such as reproducing kernel particle method (RKPM), meshless local Petrov-Galerkin (MLPG), element-free Galerkin (EFG) method, and radial point interpolation method (RPIM) [46][47][48][49][50][51][52][53][54]. However, most meshfree methods have the same problem of the lack of the Kronecker delta property that leads to a noticeable drawback in enforcing the essential boundary conditions.…”

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confidence: 99%

An efficient meshfree method for vibration analysis of laminated composite plates

2011

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A detailed analysis of natural frequencies of laminated composite plates using the meshfree moving Kriging interpolation method is presented. The present formulation is based on the classical plate theory while the moving Kriging interpolation satisfying the delta property is employed to construct the shape functions. Since the advantage of the interpolation functions, the method is more convenient and no special techniques are needed in enforcing the essential boundary conditions. Numerical examples with different shapes of plates are presented and the achieved results are compared with reference solutions available in the literature. Several aspects of the model involving relevant parameters, fiber orientations, lay-up number, length-to-length, stiffness ratios, etc. affected on frequency are analyzed numerically in details. The convergence of the method on the natural frequency is also given. As a consequence, the applicability and the effectiveness of the present method for accurately computing natural frequencies of generally shaped laminates are demonstrated.

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Analysis of rectangular laminated composite plates via FSDT meshless method

Cited by 95 publications

References 42 publications

Free vibration analysis of laminated plate/shell structures based on FSDT with a stabilized nodal-integrated quadrilateral element

Free vibration analysis of laminated plate/shell structures based on FSDT with a stabilized nodal-integrated quadrilateral element

Analysis of thick composite laminates using a higher-order shear and normal deformable plate theory (HOSNDPT) and a meshless method

An efficient meshfree method for vibration analysis of laminated composite plates

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