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 8~10 Noded Element with 32~40 Degrees of Freedom for Analysis of Shear Wall Structures
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摘要: 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Lagrange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.Abstract: 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 examples of linear static analysis for shear walls show that the computational cost of the elements used is only 1/4~1/8 and 1/2~1/5 times that of the 4 -noded bilinear element and that of the 8-noded rectangular, respectively.
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