The barrel vault elastic gridshell is a type of spatial structure composed of long continuous solid timber or hollow GFRP members and achieves its shape from elastic deformations during the construction process of lifting or pushing. The shape forming mechanism of elastic gridshells is very complicated due to significant geometric non-linearity. This research aims to propose analytic formulations to estimate the deformed shapes of barrel vault elastic gridshells considering the mechanical properties of structure. Simplified model of a single member subjected to distributed loads and concentrated forces was established for theoretical analysis, from which the deformations and bending moments of the structure were calculated. Finite element models were further established to validate the accuracy of the proposed approach, and both simple cantilever beams and spatial barrel vault elastic gridshells were employed as investigation objects. Various cases of dimensional parameters were covered so that the wide applicability of such analytical method can be verified. Results show that the derived performance indexes of all members are very close to the results from finite element analysis, indicating that the proposed theoretical approach is effective and efficient in predicting the structural behaviors of barrel vault elastic gridshells when lifting construction method is adopted.

桶形拱顶弹性格架是一种由连续的长实心木材或中空GFRP构件组成的空间结构，通过提升或推动施工过程中的弹性变形而达到其形状。由于明显的几何非线性，弹性格栅壳的形状形成机制非常复杂。这项研究的目的是提出一种解析公式，以考虑结构的机械特性来估计筒形穹顶弹性格栅的变形形状。建立了单构件承受分散载荷和集中力的简化模型用于理论分析，由此计算出结构的变形和弯矩。进一步建立了有限元模型，以验证所提出方法的准确性，并以简单的悬臂梁和空间筒形拱顶弹性格栅作为研究对象。涵盖了尺寸参数的各种情况，因此可以验证这种分析方法的广泛适用性。结果表明，得出的所有构件的性能指标与有限元分析的结果非常接近，表明所提理论方法在采用举升法施工时预测筒形拱顶弹性板壳的结构性能是有效而有效的。