NDLI: A Modified Kirchhoff plate theory for Free Vibration analysis of functionally graded material plates using meshfree method

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A Modified Kirchhoff plate theory for Free Vibration analysis of functionally graded material plates using meshfree method

Content Provider	Scilit
Author	Do, Vuong Nguyen Van
Copyright Year	2018
Description	Journal: Iop Conference Series: Earth and Environmental Science In this paper, a modified Kirchhoff theory is presented for free vibration analyses of functionally graded material (FGM) plate based on modified radial point interpolation method (RPIM). The shear deformation effects are taken account into modified theory to ignore the locking phenomenon of thin plates. Due to the proposed refined plate theory, the number of independent unknowns reduces one variable and exists with four degrees of freedom per node. The simulated free vibration results employed by the modified RPIM are compared with the other analytical solutions to verify the effectiveness and the accuracy of the developed mesh-free method. Detail parametric studies of the proposed method are then conducted including the effectiveness of thickness ratio, boundary condition and material inhomogeneity on the sample problems of square plates. Results illustrated that the modified mesh-free RPIM can effectively predict the numerical calculation as compared to the exact solutions. The obtained numerical results are indicated that the proposed method are stable and well accurate prediction to evaluate with other published analyses.
Related Links	https://iopscience.iop.org/article/10.1088/1755-1315/143/1/012038/pdf http://iopscience.iop.org/article/10.1088/1755-1315/143/1/012038/pdf
ISSN	17551307
e-ISSN	17551315
DOI	10.1088/1755-1315/143/1/012038
Journal	Iop Conference Series: Earth and Environmental Science
Issue Number	1
Volume Number	143
Language	English
Publisher	IOP Publishing
Publisher Date	2018-04-11
Access Restriction	Open
Subject Keyword	Journal: Iop Conference Series: Earth and Environmental Science Composite Materials
Content Type	Text
Resource Type	Article
Subject	Earth and Planetary Sciences Physics and Astronomy Environmental Science

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