Assessment of Radial basis function based meshfree method for the buckling analysis of rectangular FGM plate using HSDT and Strong form formulation
نویسندگان
1 Department of Mechanical Engineering, Sardar Vallabhbhai National Institute of Technology, Surat-395007, India
2 Department of Mechanical Engineering, BIT Mesra, off campus, Patna-80014, India
3 Department of Mechanical Engineering, Sardar Vallabhbhai National Institute of Technology, Surat-395007, India
4 Department of Mechanical Engineering, MMMUT, Gorakhpur-273010, India
5 Institute of Business Management, GLA University, Mathura- 281406, India
6 Department of Mechanical Engineering, MMMUT, Gorakhpur-273010, India
doi
10.22059/jcamech.2022.342228.716چکیده
An effort has been made in modifying the radial distances of existing radial basis functions (RBFs) for the buckling analysis of functionally graded material (FGM) rectangular plates. The governing differential equations (GDE’s) and boundary conditions are developed by employing the energy principle. The novelty of the present modified RBFs is that they are suitable for analyzing plates with varying aspect ratios. In the present analysis, thirteen different RBFs available in the literature are analyzed. It is found that all RBFs are well suited for buckling analysis of FGM plates with a different aspect ratio which was not possible with existing RBFs. Existing RBFs were suitable for analyzing square plates. To demonstrate the accuracy and efficiency of the present method, results are obtained for the buckling load parameters with modified radial distances for different aspect ratios. The results of several numerical examples have shown that the present modified RBF-based meshfree methods are well suited and accurate for analyzing rectangular plates. The effect of aspect ratio with grading index , span to thickness ratio on the normalized critical buckling load is discussed.
