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为了改善传统索穹顶结构的受力性能,该文提出了一种联方型双撑杆索穹顶结构,该索穹顶的上弦节点与两根斜撑杆相连,稳定性好并且便于张拉施工。针对联方型双撑杆索穹顶的找力分析问题,根据节点平衡方程,推导出考虑结构自重时索穹顶的预应力计算公式;给出了不同参数下联方型双撑杆索穹顶的预应力计算表,分析了该结构的受力特性;比较了考虑结构自重和不考虑结构自重时索穹顶初始预应力的差别,并采用有限元迭代法对比验证了理论公式的准确性。分析结果表明:随着矢跨比和撑杆高度的增大,结构中所有构件的初始预应力将减小;在自重荷载下,内圈脊索内力降低,最外圈斜索和环索内力显著增加;采用该文提出的理论公式可快速准确的获得考虑结构自重时联方型双撑杆索穹顶的实际预应力分布,为工程设计提供参考。
In order to improve the mechanical performance of the traditional cable dome structure, this paper presents a joint double-pole cable dome structure. The upper winding node of the cable dome is connected with two diagonal braces, which has good stability and easy tension construction. Aiming at the problem of force analysis of double-pole cable dome with connection square, according to the node equilibrium equation, the formula of prestressing force of cable dome is deduced considering the self-weight of the structure. The prestressing force of the double-pole cable dome with different parameters is given. The difference between the initial prestressing force and the initial stress of the dome without considering the self-weight of the structure is compared. The accuracy of the theoretical formula is verified by comparison with the finite element method. The analysis results show that the initial prestress of all members in the structure decreases with the increase of span ratio and strut height. Under the self-weight load, the internal force of the inner ridges decreases, and the internal force of the outer ring cords and ring cables significantly The theoretical formula proposed in this paper can quickly and accurately obtain the actual prestress distribution of the double-pole cable-stayed cable dome considering the structural self-weight, and provide a reference for engineering design.