| 袁驷,宋涛.旋转弹性体的有限元线法分析[J].计算力学学报,1996,13(4): |
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| 旋转弹性体的有限元线法分析 |
| FEMOL analysis of elastic bodies of revolution |
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| DOI：10.7511/jslx19964058 |
| 中文关键词: ／有限元线法 旋转弹性体 任意荷载 半解析 |
| 英文关键词:finite element method of lines,elastic bodies of revolution,arbitrary loads,semi analytical method, |
| 基金项目:国家自然科学基金,国家杰出青年基金 |
| 袁驷 宋涛 |
| 清华大学土木系 |
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| 中文摘要: |
| 本文将有限元线法应用于一般荷载作用下的旋转弹性体的分析。文中将任意荷载沿环向展开为Ｆｏｕｒｉｅｒ级数，利用正交性，将问题转变为一系列旋转子午面上二维问题的叠加。文中对任一环向谐波建立了旋转面上的曲线曲边单元，导出了相应的常微分方程体系，并对由柱坐标引起的ｒ＝０处的奇异性问题做了完备合理的处理。文中给出了具有代表性的数值算例，用以展示本法的出色的表现 |
| 英文摘要: |
| This paper extends the application of the finite element method of lines (FEMOL) to elastic bodies of revolution under arbitrary loads The loads are expanded into the Fourier series in the circumferential direction and the problem is then reduced to a series of two dimensional problems are constructed, corresponding systems of ordinary differential equations are derived and the singularity at r=0 due to the use of cylindrical coordinates is reasonably treated and removed Numerical examples are given in the paper to show the outstanding performance of the proposed method |
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