框架—剪力墙结构由于具有广泛的适用性和良好的抗震性能，在高层建筑中得到了大量应用。本文就框架—剪力墙结构中剪力墙合理数量进行了优化设计研究。主要内容和结论如下: （1）为计算优化方法中的目标函数及约束条件，介绍了框架—剪力墙结构协同工作原理，对框架—剪力墙结构进行结构分析，并利用边界条件，求解基本微分方程得出框架—剪力墙结构铰结体系与刚结体系的内力位移计算公式。 （2）根据我国现行建筑抗震设计规范对结构最大层间位移角限值的要求，以地震作用最小为目标，用计算机VC语言编写出框架—剪力墙结构的优化程序，来计算出满足要求的剪力墙数量，简单实用，适用于地震区高层建筑结构的初步设计阶段。 （3）通过算例分析比较了框架—剪力墙结构铰结体系与刚结体系的最优剪力墙数量，得出在框架—剪力墙结构中通过加强连梁约束刚度也可以达到减少剪力墙数量的目的，并用计算机VC语言编制出求解框架—剪力墙结构层间位移角的程序，来证明优化程序给出的刚度特征值的合理性以及框架—剪力墙结构的最优剪力墙刚度；同时用结构基本自振周期的取值范围验证了优化结果的合理性。

Frame-shear wall structure has been widely used in the high rise due to its good ability to resist the seismic behavior. The frame-shear wall system Optimal design for the reasonable stiffness of shearing walls is done. The main jobs and conclusions are as follows: (1) To calculate the objective function and constraint condition in optimization method, it presents the team-work principle of frame-shear wall structure and its structural analysis. Work out the fundamental differential equation by making use of the boundary condition to achieve the formula for internal force displacement in hinged and rigid connection system of frame-shear wall structure. (2) According to the limitation of maximum drift angle between stories of the earthquake resistant design code, it uses a computer language-VC to compile the continuous analysis principle of team work in frame-shear wall structure, which aims to the objective of minimizing earthquake. It can calculate the number of shear walls that meet the requirements. This method which is fit for the primary design of high-rise buildings in earthquake zone, is simple and practical in actual application. (3) Through the analysis and comparison of the optimal number of walls in hinged and rigid connection system of frame-shear wall structure by examples, it shows that we can also achieve the purpose of reducing the number of walls by strengthening beams stiffness in the frame - shear wall structure. It uses the computer language VC to compiles a program to solve frame - shear wall drift angle, and to prove the reasonableness of the optimization of value of the stiffness characteristics and the optimization stiffness of frame-shear wall. At the same time, it verifies the reasonableness of the optimization results with the range of basic structure of the natural cycle.