基于彭色列闭合多边形的马鞍状单层交叉索网体系研讨

RESEARCH ON SADDLE-SHAPED SINGLE-LAYER CROSS CABLE NETWORK SYSTEM BASED ON PONCELET CLOSED

依据彭色列双心椭圆闭合多边形几何定理,提出一种彭色列双心椭圆式马鞍形单层交叉索网体系屋盖结构。研究表明:彭色列双心椭圆式马鞍形单层空间交叉索网体系具有良好的受力性能,下凹承重缆索和上凸稳定索两组缆索协同工作,确保抗风稳定性。结合300 m级超大跨径的体育场屋盖结构,开展几何构形研究,进行工程参数设计,建立MIDAS有限元分析模型,开展马鞍形单层交叉索网体系找形分析,进行其竖向荷载和风荷载作用下的内力分析,验证彭色列双心椭圆式马鞍形单层交叉索网结构体系的合理性。

Based on the geometric theorem of Poncelet double-center ellipse type closed polygon,a Poncelet double-center ellipse type saddle-shaped single-layer cross cable network roof structure is proposed.Results show that the Poncelet double-center ellipse type saddle-shaped single-layer cross cable network system has excellent mechanical properties.The concave load-bearing cable and convex stabilizing cable work together for stable resistance to wind.In conjunction with the 300m superlarge-span roofs of stadiums geometric configuration research was carried out for engineering parameter design.The MIDAS finite element analysis model was built for form fining analysis of the saddleshaped single-layer cross cable network system.The rationality of the Poncelet double-center ellipse type saddle-shaped single-layer cross cable network system was verified through internal force analysis of vertical and wind loads.