短肢剪力墙的一种新计算方法

在三次样条函数及分段样条函数等概念的基础上，考虑墙肢截面竖向位移的非均匀性分布，提出了短肢剪力墙的样条有限墙元模型。在建立单元的能量方程后，对方程进行变分得到墙元的常微分方程。通过推导单元特征方程的解及应用虚功原理，建立了墙元的刚度矩阵和荷载向量。应用本文提出的模型，进行了算例分析。通过比较三种模型的计算结果，可以证明，用分段样条函数插值的方法代替线性插值，提高了计算精度，增加了灵活性，比较真实地反映了短肢剪力墙结构的受力和变形特点，并且计算量小，计算结果可靠，因此可以广泛地应用于这种结构的受力分析中。

A new computation method for short -leg shear wall

On the basis of three spline function and piecewise spline functions, spline finite wall element model for short - leg shear wall was put forward, which considered the heterogeneity distribution of section longitudinal displacemcnt. When energy equation for element was built, variational method was used to get ordinary differential equation. Stiffness matrix and load vector were founded on developing eigen - equation for wall clement and applying principle of virtual work. An example was analyzed by three kinds of models which contained spline finite wall element model, frame model and shell element model. Through comparing the results, it shows that substituting piecewise spline interpolation function for linear interpolation is feasible. Not only does it exactly reflect the mechanical performance of short - leg shear wall structure, but also improves calculation accuracy and adaptability. Applying the method and model, computational cost is small and consequences are reliable. Therefore, this model can be widely applied to catty out loading analysis of short - leg shear wall structure.