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施威德勒弦支穹顶结构的静力稳定性分析与研究
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摘要
预应力弦支穹顶结构是将单层网壳和张拉整体、索穹顶等柔性结构相结合而形成的一种新型的空间结构体系。同单层曲面网壳相比,刚度和稳定性得到了很大的提高;同索穹顶相比,设计、施工、节点构造都得到了较大简化。结构体系可以更合理、更经济的应用于大跨度空间结构当中,具有很好的应用前景。
     本文介绍了弦支穹顶结构的特点、组成和分类,对国内外研究现状和成果进行了总结,并提出了弦支穹顶结构需要解决的问题。利用ANSYS有限元程序对弦支穹顶结构进行线性理论分析,通过考虑矢跨比、边界条件及预应力等主要参数,对弦支穹顶结构的静力性能进行比较深入的研究和总结。
     通过考虑初始几何缺陷及活荷载不利分布形式,分别对五种矢跨比的弦支穹顶和单层网壳进行特征值屈曲、非线性屈曲、非线性极限承载力、荷载-位移平衡路径跟踪分析和比较,阐述了弦支穹顶结构的各项性能。并与单层网壳进行分析对比,证实弦支穹顶结构的优越性。
     通过分析拉索预应力、撑杆高度、矢跨比、布索方式、边界条件、活荷载不对称分布形式及初始缺陷等参数变化对弦支穹顶结构极限承载力、节点位移和构件内力的影响,总结出适用于弦支穹顶结构的合理的矢跨比、撑杆高度、环索预应力以及布索方式。
     综上所述,本文针对预应力弦支穹顶结构,系统地研究了初始缺陷、拉索预应力、撑杆高度、矢跨比、布索方式及活荷载不对称分布形式等参数对弦支穹顶结构稳定性能的影响,得到了相应的结论、特性。并进行荷载-位移全过程平衡路径跟踪分析,总结出弦支穹顶结构的屈曲过程及屈曲位置。最后,对弦支穹顶结构研究存在的问题进行了总结和展望。
Prestress suspendome is a new type spacial structure system, which is composed by the cable dome and tensegrity system with single-layer spherical reticulated shell. Compared to single-layer spherical reticulated shell structures, stiffness and stability are improved effectively. Contrasted to cable dome, designing, constructing and joint treatments are simplified much more easily. The suspen-dome can be applied to much more large-span of the spatial structure and has a good application prospect.
     This paper introduced the characteristics, composition and classification of suspendome structure, summarizing research status and achievements at home and abroad, puting forward the suspendome structure problems need to be solved. By ANSYS finite element, linear theory analysis of suspendome structures was going on. And through a lot of parameter analysis, such as rise-span ratios, boundary conditions and prestress, static performance of suspendome was deeply researched and summarized.
     By considering the initial geometric imperfection and form of live—load distribution, analysis was carried out respectively for the suspendome and single-layer spherical reticulated shell of five types of rise-span ratios on eigenvalues buckling, nonlinear buckling, nonlinear limit bearing capacity. The load - displacement equilibrium path tracking analysis and comparison was also proceeded, and expounding each performance of the suspendome. Compared with single-layer spherical reticulated shell, the superiority of the suspendome structure was verified.
     Through the analysis of parameters variation, such as cable prestress, struts height, rise-span ratios, cable layout, boundary conditions, live—load asymmetric distributions and initial defects, which have an influence on the suspendome’s ultimate bearing capacity, node displacement and internal force of component, some rational parameters were summarized, which were applicable to the suspendome structure, such as rise-span ratios, struts height, cable prestress and cable layout.
     To sum up, this paper systematically studied the parameters variation, which have an influence on the suspendome structure stability, such as initial defects, cable prestress, struts height, rise-span ratios, cable layout and live—load asymmetric distributions. And obtaining the corresponding conclusions and characteristics. Then the whole process of load - displacement equilibrium path tracking analysis was carried out to summarize the suspendome buckling process and buckling position. Finally, the existing problems of the research of the suspendome structure is summarized and prospected.
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