| 无奇性边界元法解平板弯曲问题 |
| |
| 引用本文： | 杜庆华,卢习林. 无奇性边界元法解平板弯曲问题[J]. 清华大学学报(自然科学版), 1988, 0(2) |
| |
| 作者姓名： | 杜庆华 卢习林 |
| |
| 作者单位： | 工程力学系，工程力学系 北京化纤工学院 |
| |
| 摘 要： | 本文用具有较高协调性的边界元法解克希霍夫板弯曲问题。在数值解法中，对面载 荷积分项统一化为边界积分，以适应复杂载荷的要求；利用无奇性边界积分技术完全避 免边界奇积分。文中还给出求域内点弯矩、扭矩及边界切向弯矩的公式．数值算例表明 程序可靠、精度良好、机时节省，是以前工作的一个改进。
|
| 关 键 词： | 平板问题 弯曲 固体力学 边界元法 |
Boundary Element Method for Kirchhoff Type Plate Bending Problems by Regular Integration Technique |
| |
| Lu Xilin,Du Qinghua. Boundary Element Method for Kirchhoff Type Plate Bending Problems by Regular Integration Technique[J]. Journal of Tsinghua University(Science and Technology), 1988, 0(2) |
| |
| Authors: | Lu Xilin Du Qinghua |
| |
| Affiliation: | Lu Xilin,Du Qinghua Department of Engineering Mechanics |
| |
| Abstract: | In this paper the Kirchhoff type plate bending problems were solved by using the direct boundary integration equation method with higher conforming interpolations. In numerical schemes, the surface integral terms for the distributed load can be uniformly changed to the boundary integral so that the discretization of the domain can be avoided. The exterior point nonsingular integration technique is suggested so that the singular integrations can be evaded. Some complex plate problems were solved by this method. The results show that this integration technique is efficient not only for its simplicity of computer programming but also with better accuracy in comparison with certain previous results. |
| |
| Keywords: | plate problems bending solid mechanics boundary element method |
| 本文献已被 CNKI 等数据库收录！ |
