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

  • Vu Tan Van Department of Civil Engineering, University of Architecture Ho Chi Minh City, 196 Pasteur street, District 3, Ho Chi Minh city, Vietnam
  • Nguyen Huynh Tan Tai Faculty of Civil Engineering, Ho Chi Minh City University of Technology and Education, 1 Vo Van Ngan street, Thu Duc district, Ho Chi Minh city, Vietnam
  • Nguyen Ngoc Hung Faculty of Architecture, Thu Dau Mot University, 6 Tran Van On street, Thu Dau Mot city, Binh Duong province, Vietnam

Abstract

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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Published
27-04-2021
How to Cite
Van, V. T., Tai, N. H. T., & Hung, N. N. (2021). Static bending and free vibration analysis of functionally graded porous plates laid on elastic foundation using the meshless method. Journal of Science and Technology in Civil Engineering (STCE) - NUCE, 15(2), 141-159. https://doi.org/10.31814/stce.nuce2021-15(2)-12
Section
Research Papers