| 环壳弹性静力及自由振动问题的弱形式求积元分析 |
| |
| 引用本文： | 管悦, 钟宏志. 环壳弹性静力及自由振动问题的弱形式求积元分析[J]. 力学与实践, 2015, 37(3): 338-343. doi: 10.6052/1000-0879-14-262 |
| |
| 作者姓名： | 管悦 钟宏志 |
| |
| 作者单位： | 清华大学土木工程系, 北京 100084 |
| |
| 基金项目： | 国家自然科学基金资助项目(51178247,51378294) |
| |
| 摘 要： | 基于旋转薄壳理论, 采用求积元法, 建立了求积元法求解环壳问题的单元列式, 并对圆环壳、椭圆环壳的静力及自由振动问题进行了分析. 数值算例与精确解及有限元结果相对比, 证明了求积元法分析此类连续环壳问题的准确和高效性. 同时, 分析结果表明, 椭圆环壳长短轴的比值k对壳体的受力特性及求积元法的收敛率有显著的影响.
|
| 关 键 词： | 环壳 轴对称 求积元 |
| 收稿时间： | 2014-08-11 |
| 修稿时间： | 2014-10-21 |
WEAK FORM QUADRATURE ELEMENT ANALYSIS OF ELASTOSTATIC AND FREE VIBRATION PROBLEMS OF TOROIDAL SHELLS |
| |
| GUAN Yue, ZHONG Hongzhi. WEAK FORM QUADRATURE ELEMENT ANALYSIS OF ELASTOSTATIC AND FREE VIBRATION PROBLEMS OF TOROIDAL SHELLS[J]. Mechanics in Engineering, 2015, 37(3): 338-343. doi: 10.6052/1000-0879-14-262 |
| |
| Authors: | GUAN Yue ZHONG Hongzhi |
| |
| Affiliation: | Department of Civil Engineering, Tsinghua University, Beijing 100084, China |
| |
| Abstract: | A toroidal weak form quadrature shell element is established based on the thin shell theory. Some static and free vibration problems of circular and elliptic toroidal shells are studied. High accuracy and com-putational effciency are achieved in the quadrature element analysis of numerical examples as compared with the finite element and analytical solutions. It is found that the ratio between the major and minor axes has a significant influence on the accuracy and the convergence rate for elliptic toroidal shells. |
| |
| Keywords: | toroidal shell|axisymmetry|weak form quadrature element |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《力学与实践》浏览原始摘要信息 |
|
点击此处可从《力学与实践》下载全文 |
|
