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本文用结构优化的方法,对地震区框架—剪力墙高层建筑结构的剪力墙数量,在已知材料及结构型式的条件下进行分析。在分析剪力培刚度与地震荷载相互关系的基础上,建立了解此问题的数学模型,并提出它的数值解。文中着重分析高度在50米以下及高宽比小于4的房屋。分别考虑了剪力墙的剪切变形和结构的扭转变形对计算结果的影响。提出了以单位建筑平面积上剪力墙有效惯性矩的值作为墙率的指标。文中给出一个计算剪力墙最优数量的图表,可供初步设计时采用。最后给出一个工程实例,进一步阐明该方法在工程中的运用。
In this paper, the structural optimization method is used to analyze the number of shear walls of the high-rise building structure with frame-shear wall in the seismic region under the condition of known materials and structural types. Based on the analysis of the relationship between shear stiffness and seismic load, a mathematical model for understanding this problem was established and its numerical solution was proposed. The article focuses on the analysis of houses with a height of less than 50 meters and an aspect ratio of less than 4. The effects of the shear deformation of the shear wall and the torsional deformation of the structure on the calculation results are considered separately. The value of the effective moment of inertia of the shear wall on the flat area of the unit building is proposed as an index of the wall rate. A graph showing the optimal number of shear walls is given in this paper, which can be used for preliminary design. Finally, an engineering example is given to further clarify the application of the method in engineering.