Mohammad Qolipour, Adel and Eipakchi, Hamidreza and Nasrekani, Farid M. (2022) Asymmetric/Axisymmetric buckling of circular/annular plates under radial load using first-order shear deformation theory. Thin-Walled Structures, 182 . pp. 1-14. ISSN 0263-8231
Full text not available from this repository. (Request a copy)Abstract
This paper proposes a mathematical method for the asymmetric buckling analysis of homogeneous and isotropic circular/annular plates under radial load based on the first-order shear deformation theory and nonlinear von Kármán relations. The buckling load is presented for different combinations of the free, clamped, and simply supported boundary conditions at the plate outer edges and different aspect ratios. The equilibrium equations which are five coupled nonlinear partial differential equations are extracted using the principle of virtual work and they are solved analytically using the perturbation technique. The stability equations which are a system of coupled linear partial differential equations with variable coefficients are obtained by employing the adjacent equilibrium criterion. The differential quadrature method is utilized to find the buckling load which is the eigenvalue of the stability equations. Also, the buckling load is examined using the classical plate theory as well. The sensitivity analysis investigates the effect of geometrical parameters on the buckling load. The results are compared with the obtained results from the classical plate theory, finite elements, and the results were reported in the other references.
| Item Type: | Journal Article |
|---|---|
| Subjects: | T Technology > TA Engineering (General). Civil engineering (General) T Technology > TJ Mechanical engineering and machinery |
| Divisions: | School of Information Technology, Engineering, Mathematics and Physics (STEMP) |
| Depositing User: | Farid Nasrekani |
| Date Deposited: | 26 Oct 2022 02:11 |
| Last Modified: | 26 Oct 2022 02:11 |
| URI: | https://repository.usp.ac.fj/id/eprint/13783 |
Actions (login required)
 |
View Item |