Abstract The GFRP elastic gridshell is a type of spatial structure composed of long continuous hollow GFRP members and has been used in large-span roof structures. The elastic gridshell achieves its shape as the result of elastic deformations during the construction process of lifting or pushing. The shape-forming mechanism of such structures is very complicated due to significant geometric non-linearity. This research aims to propose analytic formulations to estimate the structural features of the GFRP elastic gridshell under lifting construction. An analytical theory, considering the large geometric deformations, is first presented for analyzing single lifted member. Based on the given theory and an iteration process, a form-finding method is further proposed for predicting the deformation, nodal forces and bending moment of biaxial symmetrical GFRP elastic gridshells during the lifting construction. The form-finding method is realized on the Matlab platform and a case study is carried out. Finite element analysis is further conducted to validate the accuracy and practicability of the proposed method. Results show that, the analytic theory is highly accurate for the analysis of lifted members, and the proposed form-finding method is applicable in predicting the structural behaviors of GFRP elastic gridshells for which the lifting construction is adopted.

中文翻译：

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GFRP弹性网壳起重施工找形的解析解

摘要 GFRP弹性网壳是一种由长连续空心GFRP构件组成的空间结构，已应用于大跨度屋盖结构中。弹性网格壳在提升或推动施工过程中由于弹性变形而达到其形状。由于显着的几何非线性，这种结构的形状形成机制非常复杂。本研究旨在提出解析公式来估计在起重施工下 GFRP 弹性网格壳的结构特征。考虑到大几何变形的解析理论首先被提出用于分析单个被提升的构件。基于给定的理论和迭代过程，进一步提出了一种用于预测变形的找形方法，双轴对称GFRP弹性网格壳在吊装过程中的节点力和弯矩。在Matlab平台上实现了找形方法并进行了案例研究。进一步进行有限元分析以验证所提出方法的准确性和实用性。结果表明，解析理论对被吊构件的分析具有较高的精度，所提出的找形方法适用于预测采用吊装结构的GFRP弹性网格壳的结构行为。