无虚拟节点罚函数位移协调法  

No-Pseudo-Node Displacement Consistent Method for FEM Interface

作　　者：孙志刚[1] 高希光[1] 上官莉英[1] 宋迎东[1] 

机构地区：[1]南京航空航天大学能源与动力学院,南京210016

出　　处：《南京航空航天大学学报》2009年第2期171-175,共5页Journal of Nanjing University of Aeronautics & Astronautics

摘　　要：基于罚函数提出了一种界面协调技术——无虚拟节点罚函数位移协调法,推导了该界面协调技术的耦合公式,证明了当惩罚参数γ趋于无穷大时该方法的解趋于理论解。该方法的刚度矩阵具有对称性、带状性,同时该法还有精度高、计算效率高等优点。最后,通过算例分析,验证了其合理性。Based on penalty frame method an interface consistent technology, called the no-pseudo-node displacement consistent method, is presented. The formulations of the interface consistent technology are derivated. And the result proves that when the penalty parameter γ increases to infinity, the solution of the method tends towards the theoretical solution. The stiffness matrix of the method is symmetrical and banded. The accuracy and the efficiency of the method are satisfactory. The validity of the proposed method is verified by an example.

关 键 词：有限元法 罚函数法 界面协调 

分 类 号：O241.82[理学—计算数学]