弦支穹顶结构预应力设计及其抗震性能研究

本文给出了弦支穹顶结构的一种基于平衡矩阵理论和最优化理论的预应力确定方法。通过对不同预应力水平以及不同上部单层网壳截面弦支穹顶的模态分析讨论了该结构体系的动力特性。并研究了弦支穹顶在地震作用下的基本特性，对比分析了相应单层网壳和弦支穹顶的动力响应。分析结果表明：弦支穹顶结构的自振频率随着预应力水平的提高而增大；但随着上部单层网壳刚度的增大，预应力的大小对其自振频率的影响逐渐减小；弦支穹顶的下部张力集成体系（索杆体系）降低了上部单层网壳大部分单元在地震作用下的最大应力，尤其是外层单元的应力。

Prestress Design and Seismic Behavior of Suspen-dome

Based on the equilibrium matrix theory and optimization theory, the design method of the prestress force of suspen-dome structure was presented. Then dynamic properties of the suspen-dome structure were investigated by the modal analysis with different prestress force values and different section of the upper single-layer dome. At last, the earthquake response analysis was carried out to discuss the basic behavior of the suspend-dome under earthquake loading and the dynamic responses between the single-layer dome structure and suspen-dome structure were compared. The results show that the natural frequencies of the suspen-dome will increase when the prestress forces of the cables increase. And the effect of the prestress force on the natural frequencies of the suspen-dome structure becomes smaller while the stiffness of the upper single-layer dome increases. The tensegric system (cable-strut system) of suspen-dome structure decreases the maximum stresses in most of elements by comparing the results of the seismic analysis of the suspen-dome structure and single-layer structure.