| Reissner厚板弹性弯曲的理性有限元法 |
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| 引用本文： | 孙卫明,杨光松. Reissner厚板弹性弯曲的理性有限元法[J]. 应用数学和力学, 1999, 20(2): 181-186 |
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| 作者姓名： | 孙卫明 杨光松 |
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| 作者单位： | 1.海军工程学院蒸汽燃气与核动力工程系, 武汉430033; |
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| 摘 要： | 本文在非协调元的修正泛函中引入满足系统微分方程的单元变形模式,提出了一种将解析方法与数值方法有机结合的理性有限元法。这种新的计算方案合乎单元的力学要求和结构的几何复杂性要求。据此所得的厚板弯曲四边形单元具有计算精度高、可对刚度矩阵精确积分等优点。
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| 关 键 词： | Reissner厚板 厚板弹性弯曲 理性有限元 |
| 收稿时间： | 1997-05-15 |
Rational Finite Element Method for Elastic Bending of Reissner Plates |
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| Sun Weiming,Yang Guangsong. Rational Finite Element Method for Elastic Bending of Reissner Plates[J]. Applied Mathematics and Mechanics, 1999, 20(2): 181-186 |
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| Authors: | Sun Weiming Yang Guangsong |
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| Affiliation: | 1.Department of Steam, Gas and Nuclear Power Engineering, Naval Academy of Engineering, Wuhan 430033, P R China;2.Department of Astronautics, National University of Defence Technology, Changsha 410073, P R China;3.Mai box 7, Qinhe Building, Beijing 100085, P R China |
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| Abstract: | In this paper, some deformation patterns defined by differential equations of the elastic system are introduced into the revised functional for the incompatible elements. And therefore the rational FEM, which is perfect combination of the analytic methods and numeric methods, has been presented. This new approach satisfies not only the mechanical requirement of the elements but also the geometric requirement of the complex structures. What's more the quadrilateral element obtained accordingly for the elastic bending of thick plates demonstrates such advantages as high precision for computation and availability of accurate integration for stiffness matrices. |
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| Keywords: | thick Reissner plates elastic bending of thick plates rational finite element method |
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