摘要
根据ｐ 型有限单元法的阶谱特点， 详细论述了三维阶谱单元法的基本的分析过程和具体的实现路径，包括基函数的构造、边界约束条件的处理、刚度矩阵和荷载列阵的形成、提高数值积分效率的途径等． 引入了三维阶谱单元法的虚结点和广义结点的概念， 并把三维阶谱单元法应用于水工结构计算．
Based on the hierarchical characteristic of p\|version FEM,the analytic process and the way to realize the 3\|D hierrchical FEM are explained in detail,including the construction of basic functions,the way to deal with the constraint conditions,the formation of stiffness matrix and load vector as well as the method for efficient numerical quadrature.The concepts of virtual nodes and generalized nodes for 3\|D hierarchical FEM are introduced.The method is applied to hydraulic structure calculation practice.
出处
《水利学报》
EI
CSCD
北大核心
1999年第12期53-58,共6页
Journal of Hydraulic Engineering
基金
国家自然科学基金
关键词
有限元法
阶谱单元
三维分析
水工结构
FEM,hierarchical element, 3\|D analysis,p\|version,hydraulic structure.
