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中文摘要：
将索杆及节点自重转化为等效节点荷载，提出了圆形平面Levy型索穹项考虑白重的初始预应力分布简捷计算法。该方法从节点平衡关系入手，推导了不设内环和设内环的Levy型索穹顶考虑自重的初始预应力分布公式。比较了相同中心压杆预应力水平时，索穹顶考虑自重与理想初始预应力分布的差异，以及理想初始预应力分布的索穹顶结构体系在自重荷载下的节点位移。计算结果表明：索穹顶初始预应力考虑自重后，内圈脊索和内圈环索内力降低，其余杆件内力增加。理想初始预应力分布的索穹顶结构体系在自重荷载下节点位移较大，较大偏离了建筑师的设计外形。最后给出了索穹顶考虑自重的初始预应力分布设计流程。
英文摘要：
A simplified calculation method for initial prestress of Levy cable domes with the consideration of self-weight was proposed in this paper through assuming the self-weight of cable, strut and joint as equivalent nodal forces. Based on the nodal equilibrium equations, the general equations for computing the initial prestress of domes with and without inner hoops are deduced. The initial prestress with and without consideration of self-weight were compared. The vertical displacements of domes subjected to self-weight were also studied. The results showed that the internal forces of inner ridge cables and inner hoops decrease and internal forces of the rest of cables increase. The displacement of the dome without of self-weight was larger than that under self-weight and the dome deviated from the designed geometry due to the deformation. Finally the process for prestress design of cable domes with the consideration of self-weight was presented.
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