离散算子差分法的单元函数

Element Functions of Discrete Operator Difference Method

1.
Center of CIMS & Robotics, Shanghai University, Shanghai 200072, P R China;
2.
Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, P R China;
3.
Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P R China

摘要: 给出了弹性力学离散算子差分法的离散格式,并给出了该方法的几个板弯曲单元和平面四边形单元,通过对它们的考察,分析了离散算子差分方法中的离散格式对单元位移函数的反映能力。在离散算子差分方法中,无论单元位移函数是否协调,其位移函数均能在离散格式中得到十分好的再现,说明了离散算子差分方法的离散格式是一种性能很优良的离散格式。
- 离散算子差分法 /
- 单元函数 /
- 准确再现
Abstract: The discrete scheme called discrete operator difference for differential equations was given.Several difference elements for plate bending problems and plane problems were given.By investigating these elements,the ability of the discrete forms expressing to the element functions was talked about.In discrete operator difference method,the displacements of the elements can be reproduced exactly in the discrete forms whether the displacements are conforming or not.According to this point,discrete operator difference method is a method with good performance.
- discrete operator difference method /
- element function /
- reproduce exactly

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