Design Method for Radially Retractable Single DOF Plate Structure Based on Regular 1-Uniform Regular Tessellations

Megaron

关键词: retractable structure;    tessellation;    dual;    mobility;    mechanism;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: KARE Publishing

【 摘 要 】

This paper is concerned with a method of designing single degree of freedom (DOF) radially retractable planar plate structures (RRPS). The shape of the plates are desired to be regular polygons and they are not allowed to overlap in any configuration and no gaps in the closed configuration. The method has been developed by translating geometric knowledge of tessellation in math. Therefore the paper firstly introduces the fundamentals of tessellations and then their classification based on polygon shape. After that it proposes a method of designing RRPS by using 1-uniform regular tessellations. The method identifies the plate types, shape and the way of connecting the plates with only revolute joints. Composed of various plates and joints, the proposed RRPSs based on 1- uniform regular tessellations are single DOF multi-loop planar mechanisms. Mobility analysis is made to prove the single DOF. After various mobility analysis, a theorem is developed to find the number of excessive plates. It is also introduced that there are passive joints besides excessive plates. When more plates and revolute joints are used in architectonic applications, the excessive plates and passive joints can be removed and reassembled if necessary for aesthetic or functional reasons. Finally, a single DOF radially retractable plate structure is proposed for a building façade as a sun shade to reduce the energy consumption.

【 授权许可】

CC BY-NC-ND