倒三角形荷载下双重弯剪型结构的位移计算方法

Displacement calculation method of the dual flexural-shear structure subjected to inverted triangular load

为了研究双重弯剪型结构承受倒三角形荷载的位移计算方法,在前期研究工作基础上,首次推导出倒三角形荷载下双重弯剪型结构中两个子结构的弯曲变形、剪切变形、总水平位移的通用表达式,进一步完善了广义双重结构的位移计算理论。针对框架-密肋复合墙结构、框架-剪力墙结构的变形特点,由双重弯剪型结构的位移计算公式出发,推导出前两种结构承受倒三角形荷载时的特解与位移解析解,证明了:框架-密肋复合墙结构是双重弯剪型结构的一个子结构抗弯刚度趋于无穷大的具体表现形式;框架-剪力墙结构是双重弯剪型结构的一个子结构抗弯刚度趋于无穷大且另一个子结构抗剪刚度趋于无穷大的具体表现形式。本文对具有不同变形特征的双重结构位移计算方法的分析有助于从更高层面理解水平荷载下任意双重结构的变形规律及相互之间的关系。

Displacement calculation method of the dual flexural-shear structure subjected to inverted triangular load is researched in this paper.Based on the previous research achievements,the bending deformation solution and the shear deformation solution of two substructures,and the total displacement solution of the structure subjected to inverted triangular load are derived,and the unified displacement calculation method of the dual structure is perfected.According to the deformation characters of the frame-composite wall structure and the frame-shear wall structure,the particular solution and displacement analytical expressions for the structures subjected to inverted triangular load are derived from the formula of the dual flexural-shear structure.Frame-composite wall structure can be regarded as the concrete expression form of the dual structure when the shear stiffness of one substructure tends to infinity,and frame-shear wall structure can be regarded as the concrete expression form of the dual structure when the shear stiffness of one substructure and the flexural stiffness of the other tends to infinity.The analysis for the displacement calculation method of dual flexural-shear structure has important theoretical significance to understand deformation mechanisms,mechanical characteristics and distribution mechanisms of inertial forces of structures with different deformation characters.