Moving least squares differential quadrature method and its application to the analysis of shear deformable plates.

*(English)*Zbl 1062.74658Summary: A moving least squares differential quadrature (MLSDQ) method is developed and employed for the analysis of moderately thick plates based on the first-order shear deformation theory (FSDT). To carry out the analysis, the governing equations in terms of the generalized displacements (transverse deflection and two rotations) of the plate are formulated by employing the moving least squares approximation. The weighting coefficients used in the MLSDQ approximation are computed through a fast computation of shape functions and their derivatives. Numerical examples illustrating the accuracy, stability and convergence of the MLSDQ method are presented. Effects of support size, order of completeness and node irregularity on the numerical accuracy are investigated.

##### MSC:

74S30 | Other numerical methods in solid mechanics (MSC2010) |

74K20 | Plates |

##### Keywords:

differential quadrature method; first-order shear deformation theory; moving least squares differential quadrature method; shear deformable plates
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\textit{K. M. Liew} et al., Int. J. Numer. Methods Eng. 56, No. 15, 2331--2351 (2003; Zbl 1062.74658)

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