New approximate analytical solution of the large deflection problem of an uniformly loaded thin circular plate with edge simply hinged
| Autor: | Hui Liu, Yin-shan Yun |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
020209 energy
Mathematical analysis General Engineering Perturbation (astronomy) 02 engineering and technology Center (group theory) Hardware_PERFORMANCEANDRELIABILITY Edge (geometry) Engineering (General). Civil engineering (General) 01 natural sciences 010305 fluids & plasmas Deflection (engineering) 0103 physical sciences Homotopy perturbation 0202 electrical engineering electronic engineering information engineering Bending moment Deflection problem Adomian decomposition method Large deflection TA1-2040 Nonlinear problem Mathematics |
| Zdroj: | Alexandria Engineering Journal, Vol 60, Iss 6, Pp 5765-5770 (2021) |
| ISSN: | 1110-0168 |
| Popis: | In this paper, the large deflection problem of an uniformly loaded circular plate with edge simply hinged is considered. First, a new algorithm for the deflection problem is proposed based on Adomian decomposition method. Then, a new approximate analytic solution of the large deflection problem is obtained by the algorithm. Final, its bending moments are analyzed corresponding to different center deflections. And the relationship between the center deflection and the external load is discussed. Through comparing the errors of the obtained approximate solution with the previous perturbation solution and homotopy perturbation solution, one can see that the obtained solution in this paper is a better one and the result in this paper has a certain practical value. |
| Databáze: | OpenAIRE |
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