General analytic solution for elastic bending of reissner plates |
| |
Authors: | Sun Weiming Yang Guangsong |
| |
Affiliation: | Dept. of Astronautics, National Univ. of Defence Tech., Changsha 410073, P. R. China |
| |
Abstract: | In this paper, by developing the complex Fourier series method to solve theboundary value problem of a system of partial differential equations with constantcoefficients, for the first time a general analytic solution satisfying an arbitraryboundary condition is presented for the elastic bending of thick Reissuer plates inengineering. The solution is simple and convenient to programming. Analysis andcomputation are performed for the uniformly loaded plates under two differentsupporting conditions (four simply. supported edges or three clamped and one freeedges), the results of which are fairly satisfactory in comparison Mwth those availablefor reference. And at the some time the analytic solution has been invesligated mainlyin three aspects: a) speed of convergence. b) reliability (rationality), c) fitting ofboundary conditions. |
| |
Keywords: | bending of Reissuer plates complex Fourier series method general analytic solution |
本文献已被 CNKI SpringerLink 等数据库收录! |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学(英文版)》下载全文 |