大跨度空间网格结构的鲁棒性研究

发布时间：2018-06-30 20:33

本文选题：大跨度空间网格结构 + 鲁棒性　；参考：《浙江大学》2013年硕士论文

【摘要】：结构鲁棒性问题的研究始于1968年英国伦敦Ronan Point公寓大楼因煤气爆炸导致结构东南角出现自上到下局部连续坍塌。在“9.11”事件中,世贸中心大楼遭受恐怖袭击而发生连续坍塌使得结构鲁棒性问题重新引起学者和工程师的重视。尽管国内外很多学者分别提出了基于结构属性和结构性能的鲁棒性指标,但是每种指标都有自身的缺陷,所以学术界对衡量结构鲁棒性的定量指标尚未达成一致意见。本文将大跨度空间网格结构在动力荷载作用下的动力学方程转化成状态空间方程,利用现代控制理论及矩阵相关知识解释结构的鲁棒性和判别结构响应对于矩阵元素摄动的敏感性,最终提出了结构鲁棒性指标。针对于本文中的大跨度空间网架结构,上弦杆和下弦杆的纵向杆件对结构的鲁棒性影响更大；离支座较近的腹杆对结构鲁棒性影响更大。本文采用剩余影响系数分析网架结构并且验证所提出的鲁棒性指标的有效性。对于结构在初始损伤下的动态响应的计算,本文介绍了三种基本解法：一般解法、迭代解法、精确解法。结构的鲁棒性研究采用动力分析方法的结果是最准确的,但是动力分析方法计算复杂,导致计算效率较低。因此,在引入荷载增大系数和动力增大系数的同时,采用静力分析方法代替动力分析方法是一种有效的简化计算办法。本文以具体的网架结构为例,给出了荷载增大系数和动力增大系数的参考取值为1.2～1.6。结构的鲁棒性设计不仅需要从定量上加以计算分析,而且需要从定性上了解加强结构鲁棒性的措施。本文从提高构件的延性,加强网格结构节点的构造和可靠连接；确保结构拥有多条传荷路径；增加冗余度等方面着重阐述,进一步确保结构具有充分的鲁棒性。
[Abstract]:The study of structural robustness began in 1968 when the Ronan Point apartment building in London, England, collapsed continuously from top to bottom in the southeastern corner of the structure due to gas explosion. In the "9.11" incident, the continuous collapse of the World Trade Center Building caused by terrorist attacks made the problem of structural robustness pay more attention to by scholars and engineers. Although many scholars at home and abroad have put forward the robustness index based on structural attributes and structural performance, each index has its own shortcomings, so the academic community has not reached a consensus on quantitative indicators to measure structural robustness. In this paper, the dynamic equations of long-span spatial grid structures under dynamic loads are transformed into state-space equations. Based on the modern control theory and matrix related knowledge, the robustness of the structure and the sensitivity of the structural response to the perturbation of the matrix elements are explained. Finally, the structural robustness index is proposed. For the long-span space truss structure in this paper, the longitudinal members of the upper chord and the lower chord have greater influence on the robustness of the structure, and the web bar near the support has a greater effect on the robustness of the structure. In this paper, the residual influence coefficient is used to analyze the grid structure and to verify the effectiveness of the proposed robustness index. For the calculation of dynamic response of structures under initial damage, this paper introduces three basic solutions: general solution, iterative solution and accurate solution. The result of dynamic analysis method is the most accurate, but the calculation of dynamic analysis method is complicated, resulting in low efficiency. Therefore, it is an effective and simplified method to use static analysis method instead of dynamic analysis method while introducing load increasing coefficient and dynamic increasing coefficient. Taking the concrete truss structure as an example, the reference values of load increasing coefficient and dynamic increasing coefficient are given in this paper. The reference value is 1. 2 ~ 1. 6. The robust design of the structure not only needs to be calculated and analyzed quantitatively, but also needs to understand qualitatively the measures to strengthen the robustness of the structure. This paper focuses on improving the ductility of the components, strengthening the construction and reliable connection of the nodes of the grid structure, ensuring that the structure has multiple load transfer paths, increasing redundancy, and so on, to further ensure that the structure has sufficient robustness.
【学位授予单位】：浙江大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：TU399

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