Theory of Performance Control of Building Frames and Its Application to Earthquake-resistant Design

本课题旨在构建一种较为合理的抗震设计方法，称为“地震反应约束设计方法”。提出的方法使人们能够找到建筑物框架的构件刚度集合，这些构件刚度对设计地震表现出规定分布的局部响应。得到了以下结果：(1)针对平面剪力建筑、弹性支承平面剪力建筑、三维剪力建筑和平面支撑框架，已经发展了地震反应约束设计方法。(2)对采用该方法设计的框架进行了10次人工地震的一系列时程分析，验证了该方法的有效性。(3)将地震反应约束设计方法推广到一维分布质量结构。给出了一种计算具有特定响应曲率分布的结构质量分布的方法。(4)引入了类似规则桁架的有序最优解集的新概念。在此基础上，提出了一种实用的大型规则桁架塑性近似优化设计方法。在关于基本固有频率的一组有序最优解的基础上，设计了规则桁架的顺序最优桁架生成器。(5)提出了在一组静态设计荷载作用下，给定一组构件端纤维应变的多层多跨平面框架的设计问题。对该问题导出了几类具有实际意义的闭型解。

The purpose of this project is to construct a more rational earthquake-resistant design method, referred to as "earthquake-response constrained design method." The proposed method enables one to find the set of member stiffnesses of the building frame which exhibits local responses of a prescribed distribution to design earthquakes. The following results have been obtained.(1)Earthquake-response constrained design methods have been developed for plane shear buildings, for elastically supported plane shear buildings, for three-dimensional shear buildings and for plane braced frames.(2)A series of time history analyses have been conducted on frames designed by means of the proposed method subjected to ten artificial earthquakes and the validity of the proposed method has been verified.(3)The earthquake-response constrained design method has been extended to one-dimensional distributed-mass structures. A procedure for finding the mass distribution of the structure which exhibits a specified response curvature distribution has been presented.(4)A new concept called an ordered set of optimal solutions of similar regular trusses has been introduced. A practically powerful method has been presented of approximate optimum plastic design of large regular trusses on the basis of this concept. A sequential optimal truss generator has also been devised for regular trusses on the basis of an ordered set of optimal solutions with respect to the fundamental natural frequency.(5)A problem of designing a multi-story multi-span plane frame for a specified set of member-end fiber strains under a set of static design loads has been formulated. Several classes of closed-form solutions of practical significance have been derived to the problem.