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三广义位移板的新型有限元模式
NEW FINITE ELEMENT MODE FOR PLATE OF THREE GENERALIZED DISPLACEMENTS
【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,无自锁现象和机动变形模态等优点
【Abstract】 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.
【关键词】 三广义位移板;
广义变分原理;
有限元;
【Key words】 plate of three generalized displacements; generalized variational principle; finite element;
【Key words】 plate of three generalized displacements; generalized variational principle; finite element;
- 【文献出处】 山东建筑工程学院学报 ,JOURNAL OF SHANDONG INSTITUTE OF ARCHITECTURE AND ENGINEERING , 编辑部邮箱 ,1995年01期
- 【分类号】O343
- 【下载频次】16