弯剪型-弯曲型双重抗侧力结构体系水平位移的解析解
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摘要
对中高层弯剪型-弯曲型双重抗侧力结构体系的水平位移计算方法进行了研究.将弯曲型子结构视为仅发生弯曲变形的悬臂墙,将弯剪型子结构视为同时发生弯曲变形和剪切变形的Timoshenko悬臂墙,在此基础上建立了弯剪型-弯曲型双重抗侧力结构体系的位移微分方程,结合边界条件,推导了均布荷载等三种荷载下结构的弯曲变形、剪切变形和总水平位移的解析解.探讨了弯剪型-弯曲型双重结构与剪切形-弯曲形双重结构位移计算方法的关系.结果表明,剪切形-弯曲形双重结构可视为弯剪型-弯曲型双重结构在弯剪型子结构抗弯刚度取无穷大时的一种特殊表现形式.
A calculation method of horizontal displacement was studied for the dual structure consisting of flexural-shear substructures and flexural substructures.The flexural substructures are regarded as flexural cantilever walls which exhibit a predominantly flexural behavior,and the flexural-shear substructures are regarded as Timoshenko cantilever walls which exhibit a mixed flexural/shear behavior.On the basis of the above assumptions,a differential equation was established for calculating the displacement of the dual structure.With boundary conditions,the analytical solutions of the displacement,including the flexural deformation,the shear deformation and the total horizontal displacement,were derived when the dual structure was subjected to uniform loads.The relation between the dual structure consisting of flexural-shear substructures & flexural substructures and that consisting of shear substructures & flexural substructures was discussed,and the result shows that the later can be viewed as a special form of the former where the flexural stiffness of the flexural-shear substructures tends to infinity.
引文
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