| 拟协调元的位移函数及节点误差 |
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| 引用本文： | 何东升,唐立民.拟协调元的位移函数及节点误差[J].应用数学和力学,2002,23(2):119-127. |
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| 作者姓名： | 何东升 唐立民 |
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| 作者单位： | 大连理工大学力学系, 大连 116023 |
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| 摘 要： | 直接从拟协调元的应变关系式出发,构造具有明确物理意义的幂级数形式的位移函数,从而得出拟协调元的常应变和线性应变系数是唯一确定的,它只能收敛到常应变的结论;刚性位移项可采用多种构造方法,不同的方法得出的节点参数与单元的本身的节点参数存在不同阶次的误差,这与常规位移法有限元不同。
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| 关 键 词： | 拟协调元 位移函数 误差分析 有限元法 九参三角形板元 |
| 文章编号： | 1000-0887(2002)02-0119-09 |
| 收稿时间： | 2001-02-25 |
| 修稿时间： | 2000年12月25 |
The Displacement Function of Quasi-Conforming Element and Its Node Error |
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| HE Dong_sheng,TANG Li_min.The Displacement Function of Quasi-Conforming Element and Its Node Error[J].Applied Mathematics and Mechanics,2002,23(2):119-127. |
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| Authors: | HE Dong_sheng TANG Li_min |
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| Institution: | Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P R China |
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| Abstract: | Based on the strain formulation of the quasi_conforming finite element, displacement functions are constructed which have definite physical meaning, and a conclusion can be obtained that the coefficients of the constant and the linear strain are uniquely determined, and the quasi_conforming finite element method is convergent to constant strain. There are different methods for constructing the rigid displacement items, and different methods correspond to different order node errors, and this is different from ordinary displacement method finite element. |
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| Keywords: | quasi_conforming element displacement function error analysis finite element method 9_parameter triangular plate element |
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