中文摘要：

介绍了一种新型开合结构——径向可开启板式结构．针对它在几何协调性方面存在的缺陷，分析了这种结构的基本构成并给出基本几何方程；运用欧式几何分析方法研究了开启时具有圆形开口的结构各单元之间的拓扑关系，得到了临界方程和限制方程，据此绘制了一些常用参数下的临界曲线和限制曲线，以便设计者选用；给出了两种开启时可形成梅花形开口或多边形开口的新型结构，解决了特定参数下屋面设计的几何协调性问题．研究结果为径向可开启板式结构的设计提供了有价值的参考．

英文摘要：

A new type of retractable structures, radially retractable plate structures （RRPS）, was introduced. In order to solve some geometric problems of RRPS, basal form and equations of RRPS were given. The topology of RRPS with circular opening was analyzed by using Euclid geometry method, and critical equation and constraint equation were derived. According to the equations, corresponding curves with common design parameters were drawn to designers＇ convenience. Two novel types of RRPS with lobe or polygonal openings in the opening configuration were presented. And the geometrical compatibility of RRPS with special design parameters was matched automatically. The work here had advanced the practical application of RRPS.