广义双重抗侧力结构体系的统一位移计算理论

在广义概念上将建筑结构视为由同时考虑弯曲变形、剪切变形的两种子结构组成的双重抗侧力结构体系, 提出弹性阶段广义双重结构水平位移的统一的计算方法. 子结构单独承受水平外载荷时其内力与变形的关系服从Timoshenko剪切梁基本理论, 在子结构协同工作的基础上, 采用水平变形连续化的计算方法, 建立了广义双重抗侧力结构体系的统一位移微分方程, 以结构承受均布载荷作用为例推导出两个子结构的弯曲变形、剪切变形及结构总水平位移的通用解析表达式. 对框架-剪力墙结构与广义双重结构的位移微分方程式、微分方程特解、水平位移解析解进行了全面对比分析, 证明了框架-剪力墙结构是隶属于广义双重结构体系的一种具体表现形式; 算例分析表明, 对于一般中高层双重抗侧力结构, 采用解析法计算所得的位移结果能够满足一般工程设计的精度要求. 

UNIFIED DISPLACEMENT CALCULATION THEORY OF GENERALIZED STRUCTURE WITH DOUBLE RESISTANCES TO LATERAL FORCE

The building structure is considered as a structure with double resistance to lateral force and consists of two substructures in generalized concept. Horizontal deformation of the substructure consists of bending deformation and shear deformation. Unified displacement calculation method of the dual structure in elastic stage will be proposed in this paper. The basic regulation between internal force and deformation of every substructure obeys Timoshenko beam theory. Based on cooperative work mechanism of two substructures, the unified displacement differential equation of generalized structure with double resistance to lateral force is established by deformation continuation approach. Taking uniform load as a sample, the unified displacement analytical solutions of the dual structure are deduced which include bending deformation solution, shear deformation solution and the total deformation solution. The displacement differential equation, special solution and displacement analytical expressions are compared between frame-shear wall structure and generalized structure with double resistances to lateral force. Frame-shear wall structure can be regarded as one of the concrete expression forms of the double structure. Numerical example results indicate that calculation accuracy by analytical method can meet the requirement to the middle-high dual structures. The unified displacement theory of generalized dual structure makes structures with different deformation characteristics to connect together essentially, and it has important theoretical significance for us to understand deformation mechanism and internal relations of the building structures deeply.