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.
出处
《南京航空航天大学学报》
EI
CAS
CSCD
北大核心
2009年第2期171-175,共5页
Journal of Nanjing University of Aeronautics & Astronautics
关键词
有限元法
罚函数法
界面协调
finite element method
penalty frame method
interface consistence