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Structural Engineering and Mechanics Volume 70, Number 5, June10 2019 , pages 525-534 DOI: https://doi.org/10.12989/sem.2019.70.5.525 |
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Buckling of simply supported thin plate with variable thickness under bi-axial compression using perturbation technique |
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Haigui Fan, Zhiping Chen, Zewu Wang and Peiqi Liu
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| Abstract | ||
| An analytical research on buckling of simply supported thin plate with variable thickness under bi-axial compression is presented in this paper. Combining the perturbation technique, Fourier series expansion and Galerkin methods, the linear governing differential equation of the plate with arbitrary thickness variation under bi-axial compression is solved and the analytical expression of the critical buckling load is obtained. Based on that, numerical analysis is carried out for the plates with different thickness variation forms and aspect ratios under different bi-axial compressions. Four different thickness variation forms including linear, parabolic, stepped and trigonometric have been considered in this paper. The calculated critical buckling loads and buckling modes are presented and compared with the published results in the tables and figures. It shows that the analytical expressions derived by the theoretical method in this paper can be effectively used for buckling analysis of simply supported thin plates with arbitrary thickness variation, especially for the stepped thickness that used in engineering widely. | ||
| Key Words | ||
| buckling; thin plate; thickness variation; compression; analytical expressions | ||
| Address | ||
| Haigui Fan,Zewu Wang and Peiqi Liu: School of Chemical Machinery and Safety Engineering, Dalian University of Technology, No.2 Linggong Road, Dalian, Liaoning 116023, P.R. China Zhiping Chen: Institute of Process Equipment, Zhejiang University, 38 Zheda Road, Hangzhou, Zhejiang 310027, P.R. China | ||