十二参能量正交三角形板元

The energy-orthogonal triangular plate element with 12-parameter

构造了一个具有能量正交形函数空间的12参数三角形板元,其单元刚度矩阵由两部分组成:Ke=Krc+Kh,其中Krc只和形函数空间的常应变模态有关,Kh由高阶模态决定.证明了它们对4阶问题在任何剖分形式下均收敛.其插值误差为O(h2),优于Bergan元.

A 12-parameter triangle plate element having energy-orthogonal shape function space is presented. The stiffness matrix Ke = Krc ＋ Kh of the element is block diagonal, where Krc depends only onconstant strain modes of shape function space and Kh is determind by high order modes. It is proved that the element is convergent for 4-order plate problem with any mesh form. The interpolation error of energy norm is of O （h^2） better than that of Bergan element.