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弦支穹顶结构的理论研究

Theoretical Research on Suspen-Dome

【作者】 张明山

【导师】 董石麟;

【作者基本信息】 浙江大学 , 结构工程, 2004, 博士

【摘要】 弦支穹顶结构是由上部的单层网壳结构和下部的张拉索杆体系组合而形成的新型自平衡体系,由于其造型新颖、美观,具有非常广阔的工程应用前景。近几年我国对弦支穹顶结构的研究刚刚起步,在理论方面还没有全面、深入的研究成果。本文从理论上对弦支穹顶结构进行了系统、深入分析。 首先,在大量查阅国内外文献的基础上,对弦支穹顶结构的发展历史和现状进行了描述,并扼要的介绍了其目前的工程应用。其次,根据弦支穹顶结构的构成,详细论述了弦支穹顶结构的原理、特点和分类。最后确定了论文的主要研究工作。 提出了基于将上部单层网壳和下部索杆体系两部分结构分块的新的分析方法—局部分析法,可以解决弦支穹顶结构的初始预应力分布的确定问题。结合整体可行预应力的概念,并考虑结构自身的拓扑关系,采用平衡矩阵理论方法和线性静力分析法,对弦支穹顶结构的初始预应力分布的确定进行简化。根据局部分析法的思路,编制了相应的程序。 本文对初始态下的Kiewitt型弦支穹顶结构在竖向荷载作用下的静力特性进行了深入分析,并同单层网壳结构静力特性进行比较;为了掌握各个参数对静力特性的影响程度,进行了参数分析。 本文对初始态下的Kiewitt型弦支穹顶结构静力稳定性进行了分析。采用非线性有限元理论,结合牛顿荷载增量法和柱面弧长法的跟踪技术,对Kiewitt型弦支穹顶结构进行了考虑几何非线性的全过程分析;为了掌握各个参数对静力稳定性的影响程度,进行了参数分析。 本文采用振型分解反应谱法和时程分析法两种方法,对Kiewitt型弦支穹顶预应力结构的水平和竖向地震作用下的地震效应进行计算分析,并同现行的规范和规程的规定方法一10%重力荷载代表值简化法计算结果进行了比较分析。 本文采用了遗传算法对弦支穹顶结构进行了预应力优化设计。从随机产生的初始种群出发,通过选择、杂交及变异等遗传算子,使种群一代一代地进化到最优解。本文采用二级优化的步骤对径向约束反力和上部杆件轴力两个优化目标同时进行了预应力优化,并编制了相应的程序对联方型和Kiewitt型弦支穹项结构进行了预应力优化设计。 本文提出了施工反分析法对弦支穹顶结构进行了施工全过程分析。该方法从弦支穹顶结构设计理想成形状态(初始态)出发,以成形时索、杆内力和几何状态为初值,按照一定施工顺序依次拆除各圈索杆,从而确定各个阶段的结构施工控制参数(包括索力和坐标),最终确定结构的零状态。 论文最后对上述研究内容及成果做了总结,并提出了今后有待解决的其他关键问题。

【Abstract】 Suspen-dome is a new self-equilibrium space structure, composed of single-layer lattice shell and cable-strut tensile structure. For its novel and beautiful shape, it has a widely practical perspective. The study on suspen-dome was just started in recently several years and there were no comprehensively and deeply research achievements in our country. Some systemic and deep research work on the theory of suspen-dome is carried out in this thesis.Based on reading many literatures, developmental history and present situation of suspen-dome are described, and project applications are introduced in this thesis. According to the combination of suspen-dome, structural principle, characteristic and types of the structure are described. At last, the work content of this thesis is put forward.In this thesis, a new method named local analysis method was presented which the whole structure is divided into two parts: the upper structure and the lower structure. The problem distribution of initial pre-stress of suspen-dome can solved by this method. Combined the topological relation of suspen-dome and the concept of overall feasible pre-stress , by using the equilibrium matrix theory method and linear static method, the problem of distribution of initial pre-stress of suspen-dome is simplified. Program has been developed based on the local analysis method.The static behavior under vertical loads of Kiewitt’s suspen-dome was analyzed on the initial state. Moreover, the behavior of suspen-dome and single-layer lattice shell are compared. The influence of kinds of parameters is studied.The stability behavior of Kiewitt’s suspen-dome was analyzed on the initial state. By the geometrical nonlinear finite element method, the equilibrium path is traced using the cylindrical arc length technology and incremental Newton-Raphson method. The influence of kinds of parameters is studied.Two types of seismic calucation methods that are response spectrum analysis and time-history analysis are used to analyze the seismic response of Kiewitt’s suspen-dome under lateral seismic action and vertical seismic action. The result obtained by above-mentioned methods and the code method are compared.Genetic algorithm method is proposed to optimize the prestress of suspen-dome. From the randomized initial population, using the operators such as select, crossover and mutation, it can converge the globe optimum solution. Two-level algorithm is developed to deal with the two objective function optimal designs that are the radial constraint force and the axial force of the upper structure. Corresponding program has been developed to optimize the prestress of the Lamella’s suspen-dome and Kiewitt’s suspen-dome.Analysis of construction process is the key problem to suspen-dome. A new method named inverse analysis of construction process is proposed to determinate the ideal status in each step of construction, including internal force and the coordinate of points. From the initial value that is the internal force and the geometrical coordinate of the initial state, according to the constructionsequence to remove the cable-strut tensile structure, it can determinate the zero state of the structure.At the end of the thesis some conclusions are summarized and the problems that should be studied further are put forward.

  • 【网络出版投稿人】 浙江大学
  • 【网络出版年期】2004年 03期
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