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

2nd International Conference on Sustainable Development in Civil, Urban and Transportation Engineering

地球科学;运输工程;经济学

Van Do, Vuong Nguyen^1

Faculty of Civil Engineering, Ton Duc Thang University, HCMC, 19 Nguyen Huu Tho St. Dist. 7, 700000, Viet Nam^1

关键词: Cubic function;    Functionally graded material (FGM);    Locking-free;    Meshfree;    Radial point interpolations;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/143/1/012038/pdf
DOI  :  10.1088/1755-1315/143/1/012038

来源: IOP

【 摘 要 】

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.