中文摘要：

通过对两种层间最大位移角计算方法的对比分析，指出采用位移曲线二阶求导的方法是可行的．以结构协同工作的连续化分析及我国现行抗震设计规范反应谱理论为出发点，以结构地震作用最小为目标函数，最大层间位移角为约束条件建立优化模型，并用MATLAB高级语言编写了三种常见的荷载作用下的优化程序．通过算例计算了不同设防烈度、场地土类别及设计分组下剪力墙的合理数量，结果表明所需的剪力墙合理数量与设防烈度呈非线性关系；当结构较规则时，该法对超过40m的高层建筑仍然适用．该模型能反映出结构高度、结构重量等因素对剪力墙合理数量的影响，且简单、实用，可供初步设计使用

英文摘要：

By the comparison between two methods of calculating the maximum drift angle, it was found that the method of obtaining the angle from the differential coefficient of coordination deformation equation twice was feasible. Based on the principle of continuous analysis of interactive frame-shear wall structures and the theory about response spectra in the current Chinese code for seismic design of buildings, and regarding the minimum earthquake action as objective functions and the maximum drift angle as the restriction, an optimal model was established. The programs of calculating the optimal quantity of shear wall under the three familiar action forms were compiled by using the advanced language MATLAB. The various optimal quantities of shear walls were given under the different seismic fortification intensities, site sorts and deign groups. It is shown that the relationship between the optimal quantity of shear wall and the seismic fortification intensity is not linear, and the method still can be applied in tall buildings over forty meters when the structure is regular. This model can reflect the influence of some factors on the optimal quantity of shear wall, such as structural height, structural weight, and is accurate and convenient enough for use during the preliminary stage of design.