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一 前言 目前,上部结构与地基基础共同作用问题越来越受到学术界与工程界的重视。早在50年代,G.G.Meyerhof就提出估算框架结构等效刚度的公式,以考虑上部结构刚度对基础刚度的贡献。S.Chamecki、H.Grosshof、H.Sommer等相继考虑上部结构刚度的共同作用分析基础的沉降、接触应力和弯矩。随着有限元和计算机的发展以及子结构分析方法的提出为上部结构与地基基础共同作用分析方法的广泛应用打下了基础。 在国内,60年代初就开始做过一些研究工作。70年代,我国高层建筑逐渐兴起,促使高层建筑与地基基础共同作用研究加速开展。北京、上海、天津等地进行了比较系统的理论研究与现场测试。但至今为止,上部结构与地基基础共同作用研究还未达到实用性阶段。本文的目的就是发展有效的计算方法和程序,以解决大型高层建筑、高低错落建筑与地基基础共同作用问题。 二 共同作用分析基本原理 地基—基础—上部结构共同作用的分析原理是分别建立地基土、基础和上部结构的刚度矩阵、然后将三者耦合求解。上部结构与地基基础共同作用是三维空间问题,故在程序编制过程中,减少计算机存储空间是非常重要的,而子结构法是行之有效的方法。
I. INTRODUCTION At present, the issue of the joint action between the superstructure and the foundation is getting more and more attention from the academic and engineering circles. As early as the 50’s, G.G. Meyerhof proposed the formula for estimating the equivalent stiffness of the frame structure to consider the contribution of the superstructure stiffness to the basic stiffness. S. Chamecki, H. Grosshof, H. Sommer and others have considered the joint action of superstructure stiffness to analyze the foundation settlement, contact stress and bending moment. With the development of finite element and computer and the proposed method of substructure analysis, it lays a foundation for the wide application of the analysis method of the joint action of the superstructure and foundation. In China, some research work began in the early 1960s. In the 1970s, China’s high-rise buildings gradually emerged, prompting the joint development of high-rise buildings and foundations to accelerate research. Beijing, Shanghai, Tianjin and other places have conducted systematic theoretical research and field tests. But so far, the study of the interaction between the superstructure and foundation has not yet reached the practical stage. The purpose of this paper is to develop effective calculation methods and procedures to solve the combined effects of large-scale high-rise buildings, high and low-rise buildings, and foundations. B. The basic principle of the joint action analysis The analysis principle of the joint action of the foundation-foundation-superstructure is to establish the stiffness matrix of the foundation soil, the foundation and the superstructure respectively, and then couple the three solutions. The interaction between the superstructure and the foundation is a three-dimensional problem. Therefore, it is very important to reduce the computer storage space during the programming process. The substructure method is an effective method.