| 刘世龄.加强板的弯矩函数列式[J].计算力学学报,1999,16(1):8~17 |
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| 加强板的弯矩函数列式 |
| Moment function formulation of stiffened plates |
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| DOI：10.7511/jslx19991003 |
| 中文关键词: 加强板 弯矩函数 Hamilton体系 平面弹性问题 |
| 英文关键词:stiffened plate,moment function,Hamiltonian system |
| 基金项目: |
| 刘世龄 |
| 香港理工大学土木系 |
| 摘要点击次数: 1447 |
| 全文下载次数: 8 |
| 中文摘要: |
| 本文首先谇薄板弯曲问题矩函数的物理意义，据此，将弯矩函数列式推广到具有加强条的薄板弯曲问题，给出了与平面弹性问题完全对应的余能原理。 |
| 英文摘要: |
| The physical meaning of moment functions in plate theory is first discussed. Based on this understanding the formulation of plate bending in terms of moment functions is extended to stiffened plates. A corresponding complementary energy theorem is also derived in such a form that it clearly demonstrates the duality analogy with the displacement formulation of a plane elasticity problem. Thus, the method of Hamiltonian operator matrix developed by Zhong may easily be applied to the present case. More importantly, the displacement finite elements constructed for plane elasticity with high performance can directly be employed for solving stiffened plate problems. |
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