有限元、组合条元与映射无穷元联合应用研究

Research of Joint Application of Finite Element, Combined Strip Element and Mapped Infinite Element

提出了将有限元、组合条元与映射无穷元联合应用求解无限域问题的思想 .首先介绍 6种映射无穷元的位移模式和坐标映射关系 ;然后基于联合应用组合条元的要求 ,提出了一种新型单元—组合映射无穷元 ,并建立了相应的公式 ;编制了计算程序 ,经过算例分析证明了有限元。

In order to solve infinite field problems better and eliminate negative influence of the truncation boundary method on computational accuracy of load near field, the method about joint application of finite element, combined strip element and mapped infinite element on infinity field problems is put forward in this paper. In accordance with displacement compatibility among finite element, combined strip element and mapped infinite element, displacement field of six mapped infinite elements is established, in which a kind of new element--combined mapped infinite element is presented. In terms of construction methods of combined strip element and mapped infinite element, displacement model and coordinate mapped formula of combined mapped infinite element are deduced. The analysis demonstrates that the method can decrease computational effort greatly in comparison with the truncation boundary method, and computational accuracy of the analysis method is improved. Thereby the effectiveness of the method is proved.