摘要
从弹性应变能密度的概念１２σｉｊεｉｊ出发，应用线性拉氏乘子法，建立了具有三个广义位移的板的广义变分原理，进一步放松离散边界位移连续条件，给出了板的新型广义杂交混合单元模式。算例表明，该单元具有精度高，收敛快。
Based on the concept of elastic potential energy density 12 σ ij ε ij , a gene ralized variational principle for plate of three displacements is established by linear lagrange multiplier method. And then, a new generalized hybrid mixed finite element mode has been built up on a modified form of the principle. Numerical examples demonstrate that the element has many advantayes such as high precision, favorable convergence behavior, free from spurious kinematic mode and do not exhibit locking phenomenon in thin plate limit etc.
出处
《山东建筑大学学报》
1995年第1期7-12,共6页
Journal of Shandong Jianzhu University
关键词
三广义位移板
广义变分原理
有限元
plate of three generalized displacements
generalized variational principle
finite element
