短肢剪力墙剪滞效应的变分解法

研究短肢剪力墙的力学模型和计算方法，根据短肢剪力墙的受力和变形特点，摒弃杆模型平截面假定的限制，引入了剪滞位移自由度，构造了新的截面位移模式。依据能量变分原理推导出了考虑剪滞效应和剪切变形的控制方程和边界条件，以控制方程的解析解为形函数，建立了各种异形截面短肢剪力墙的统一单元刚度矩阵。采用MATLAB语言研制了相应的分析程序，算例分析表明本文方法比较真实地反映了短肢剪力墙结构的力学性能，自由度少，计算简单，可用于结构受力分析。

Variational solution of shear-lag effect of short-leg shear wall

The mechanic models and calculation methods of the short-leg shear wall is researched. According to the force and deformation characteristics of the short-leg wall and by introducing the displacement variables deriving from the shear-lag effect, a new displacement model is created, beyond the restriction of the plan assumption. Following the variation principle, the governing equation and boundary condition are derived, taking into account the effect of shear-lag and shear deformation. Then by adoping the governing equation solution as displacement function, the integrated element stiffiness matrix adapted to all specially short-leg shear wall is developed. Finally a computer program was developed based on MATLAB language. Compared with other method , the method in this paper has the advantages of minor degree of freedom and calculation simplicity. A series calculated example show that it actually reveals the mechanic behavior of short-leg shear wall and can be applied to the analysis of the structure.