一种剪力墙结构分析的32自由度和40自由度单元

A Higher Order Rectangular 8～10Noded Element with 32～40 Degrees of Freedom for Analysis of Shear Wall Structures

提出了一种水平方向采用3次Hermite多项式，铅垂方向采用高达5次和6次的La-grange多项式作插值函数的高阶矩形剪力培平面应力问题单元，这种单元不但位移精度高，而且具有高的应力精度．对于线性分析，单元刚度矩阵各元素全部经过十分繁荣的积分运算被解析的算出，并采用数值积分进行了复核，因此计算效率特别高．

Based on the beam - type element with inplane rotational degrees of freedom developed for shear wall structures, a higher order rectangular 8 ~10 noded element with 32 ~ 4o degrees of freedom is proposed. The element developed adopt a 3 ~ 4 order polynomial as the interpolation function along the vertical direction, each node has 4 degrees of freedom; 2 translations and 2 rotations. The numerical ex-amples of linear static analysis for shear walls show that the computational cost of the elements used is on-ly 1/4 ~ 1/8 and 1/2 ~ 1/5 times that of the 4 -noded bilinear element and that of the 8 - noded rectan-gular, respectively.