考虑裁切线的马鞍形张拉膜结构找形分析

Form-finding analysis of the tensioned saddle membrane structure considering the cutting lines

传统的膜结构分析从找形、荷载分析到裁剪,均忽略了实际工程中的膜结构是带有裁切线的结构,而实际使用中膜材的褶皱、破坏等往往始于膜片连接周围。针对上述问题,对带有裁切线的膜结构进行设计,充分考虑膜片展平过程中的无应力状态和膜片连接处的搭接现状,首先采用测地线法生成空间裁切线,采用等效板单元法将裁切的空间膜片展平成平面近似无应力膜片;然后考虑膜片的连接,将无应力膜片进行热合连接形成新的几何膜片,对膜片进行二次找形;最后对比有、无裁切线膜结构的找形结果,证明了方法的正确性。研究结果可为今后的膜结构设计和施工提供参考。

Traditional membrane structure analysis including form-finding, load analysis and cutting ignores that in practical engineering the membrane structure is with cutting lines which will lead to wrinkle or destruction of the membrane, so the membrane structure with cutting line is designed. The lap joint and similar zero-stress state of the membrane are considered sufficiently during the membrane flatten process. Firstly, the geodesic method is used to generate space tangent line. The sliced space membrane diaphragms are unfolded to produce planar similar zero-stress membrane diaphragms with equivalent plate ele-ment method, then, with considering the joints of membrane diaphragms, the planar similar zero-stress membrane diaphragms are joined by thermal connect, and the second forming-finding of the membrane diaphragms is implemented. Finally, the results with and without cutting lines are compared, which proves the effectiveness of the method. The research can provide reference for future design and construction of membranes.