考虑剪力墙剪切变形影响的框架-剪力墙结构分析

ANALYSIS METHOD OF FRAME-SHEAR WALL STRUCTURES WITH CONSIDERING SHEAR DEFORMATION EFFECT OF SHEAR WALL

考虑剪力墙剪切变形影响、连梁固接连接条件,基于Timoshenko两广义位移梁理论,建立了框架-剪力墙结构分析方法。当连梁约束抗弯刚度为0时固接体系可退化成铰接体系、当剪力墙抗剪刚度趋于无穷大时弯剪型剪力墙可退化为不考虑剪切变形的弯曲型剪力墙,因此该文方法可适应多种模型的计算。导出了三角形分布荷载、均布荷载和顶部集中荷载作用下挠度、转角、剪力墙弯矩和剪力、框架剪力的计算公式。计算公式表明:"框架广义剪力按框架抗推刚度和连梁约束抗弯刚度比分配"的结论在考虑剪力墙剪切变形影响的框架-剪力墙固接体系中不成立。通过算例讨论了框架-剪力墙的变形和内力分布,得到了连梁约束抗弯刚度显著影响框架-剪力墙的变形和内力分布、框架-剪力墙对剪力墙的抗剪刚度有敏感范围等结论。

Considering the shear deformation of shear wall and the rigid joint of connecting beam, based on Timoshenko＇s two generalized displacements beam theory, an analytical method was presented for frame-shear wall structures. When the constrained flexural stiffness of connecting beam was zero, the fixed system was degenerated into a hinged system, when the shear stiffness of shear wall tended into infinite, the flexural-shear type shear wall was transformed into the flexural type shear wall without the shear deformation effects, so the present method can be used to analyze various models. The deflection, slope, bending moment and shear force of shear wall, shear force of frame were derived under triangularly distributing load, uniformly distributing load and concentrated load on the top. Computational formulae show that the conclusion that ＂generalized shear force proportioned to the push-resistance stiffness of frame and the constrained flexural stiffness of connecting beam＂ does not exist for frame-shear wall that takes the shear deformation effects of shear wall into consideration. The distributions of deformations and internal forces of frame-shear wall are discussed through examples. Some conclusions are summarized that the constrained flexural stiffness of connecting beam dramatically affects the distributions of deformations and internal forces of frame-shear wall. There is a sensitive region of shear wall＇s shear stiffness for the distributions of deformations and internal forces of frame-shear wall.