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| 一种由平面矩形单元转化而来的十字形平面刚架单元 | |
| 引用本文： | 夏红兵,徐颖,沈兆武.一种由平面矩形单元转化而来的十字形平面刚架单元[J].合肥工业大学学报(自然科学版),2007,30(9):1205-1208. |
| 作者姓名： | 夏红兵 徐颖 沈兆武 |
| 作者单位： | 1. 中国科学技术大学,力学和机械工程系,安徽,合肥,230026;安徽理工大学,土木系,安徽,淮南,232001 2. 安徽理工大学,土木系,安徽,淮南,232001 3. 中国科学技术大学,力学和机械工程系,安徽,合肥,230026 |
| 基金项目： | 教育部新世纪优秀人才资助项目(NECT-05-0599) |
| 摘 要： | 文章提出了一种用平面刚架结构来替代平面问题连续体的有限元方法,将平面连续体离散为5结点15自由度矩形单元,再将矩形单元转化为十字形平面刚架单元;先求出外载荷作用下平面刚架结点位移、结点力,再由虚拟力求梁横截面变形引起的十字形单元结点力,将各次所求结点力叠加,得矩形单元结点力;并编制计算程序,进行数值计算和比较,表明该方法可行。 |
| 关 键 词： | 平面矩形单元 梁单元 十字形单元 平面刚架 虚拟力 |
| 文章编号： | 1003-5060(2007)09-1205-05 |
| 修稿时间： | 2007年5月18日 |
Cross-frame element transformed from the planar rectangular element |
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| XIA Hong-bing,XU Ying,SHEN Zhao-wu.Cross-frame element transformed from the planar rectangular element[J].Journal of Hefei University of Technology(Natural Science),2007,30(9):1205-1208. | |
| Authors: | XIA Hong-bing XU Ying SHEN Zhao-wu |
| Abstract: | A new FEM is given in which the planar continuum is replaced by the planar frame.Firstly the planar continuum is subdivided into the planar rectangular element with 5 nodes and 15 degrees of freedom,and then the rectangular element is transformed into the cross-frame element,thus replacing the planar continuum by the planar frame.Nodal force in the cross-frame element under loading is calculated.By means of virtual force method,the cross-section deformation of the beam is calculated,and then the new nodal force is calculated by using the deformation in the cross-frame element.By superposing the nodal forces of the same cross-frame element,nodal force in the planar rectangular element is obtained.Numerical analysis is carried out to test the method and results show that the method is feasible. |
| Keywords: | planar rectangular element beam element cross-frame element planar frame virtual force |
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