A moving Kriging interpolation-based meshless method for numerical simulation of Kirchhoff plate problems

2009 ◽  
Vol 77 (10) ◽  
pp. 1371-1395 ◽  
Author(s):  
Tinh Quoc Bui ◽  
Tan Nhat Nguyen ◽  
Hung Nguyen-Dang
Keyword(s):  
Numerical Simulation ◽  
Meshless Method ◽  
Kirchhoff Plate ◽  
Kriging Interpolation ◽  
Moving Kriging Interpolation

An Element-Free Galerkin Method Based on Complex Variable Moving Kriging Interpolation for Potential Problems

2016 ◽  
Vol 13 (03) ◽  
pp. 1650013
Author(s):  
Yi Huang ◽  
Sanshan Tu ◽  
Hongqi Yang ◽  
Leilei Dong
Keyword(s):  
Complex Variable ◽  
Meshless Method ◽  
Kriging Interpolation ◽  
Element Free Galerkin Method ◽  
Moving Kriging Interpolation ◽  
Element Free Galerkin ◽  
Domain Type ◽  
Potential Problems ◽  
Low Efficiency ◽  
Element Free

The moving Kriging interpolation (MKI) is an accurate approximation method that has the interpolating property. However, it is rarely used in meshless methods because of its low efficiency. In this paper, we proposed an efficient MKI method, the complex variable moving Kriging interpolation (CVMKI) method, for “domain” type meshless method. Further, we proposed the CVMKI-based element-free Galerkin (CVMKIEFG) method for 2D potential problems. CVMKIEFG is an efficient meshless method and can impose the essential boundary conditions directly and easily. We proposed two formulations for CVMKIEFG: the conventional formulation and the cell-based formulation. The latter formulation is proposed for higher efficiency. Three 2D example problems are presented to demonstrate the efficiency and accuracy of CVMKIEFG.

scholarly journals Static bending and free vibration analysis of functionally graded porous plates laid on elastic foundation using the meshless method

2021 ◽  
Vol 15 (2) ◽  
pp. 141-159
Author(s):  
Vu Tan Van ◽  
Nguyen Huynh Tan Tai ◽  
Nguyen Ngoc Hung
Keyword(s):  
Free Vibration ◽  
Shear Deformation ◽  
Elastic Foundation ◽  
Meshless Method ◽  
Vibration Analysis ◽  
Plate Theory ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Kriging Interpolation ◽  
Moving Kriging Interpolation

This paper presents a numerical approach for static bending and free vibration analysis of the functionally graded porous plates (FGPP) resting on the elastic foundation using the refined quasi-3D sinusoidal shear deformation theory (RQSSDT) combined with the Moving Kriging–interpolation meshfree method. The plate theory considers both shear deformation and thickness-stretching effects by the sinusoidal distribution of the in-plane displacements, satisfies the stress-free boundary conditions on the top and bottom surfaces of the plate without shear correction coefficient. The advantage of the plate theory is that the displacement field of plate is approximated by only four variables leading to reduce computational efforts. Comparison studies are performed for the square FGPP with simply supported all edges to verify the accuracy of the present approach. The effect of the aspect ratio, volume fraction exponent, and elastic foundation parameters on the static deflections and natural frequency of FGPP are also investigated and discussed. Keywords: meshless method; Moving Kriging interpolation; refined quasi-3D theory; porous functionally\break graded plate; Pasternak foundation.

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