Construction of Center-Coincident Deployable Mechanisms Based on Cyclic and Circumscribed Polygon

A generalized method of cyclic and circumscribed deployable mechanism composed of multiple generalized angulated elements with the same deployable center is proposed. The construction conditions of N two Type I generalized angulated elements ( N-TGAE I) and N two Type II generalized angulated elements ( N-TGAE II) with the same deployable center are analyzed, respectively. By analyzing the constraint conditions, the distances from the intermediate hinge points of all angulated elements to the deployable center are the same. These constraint conditions are used to construct center-coincident deployable mechanisms based on the cyclic and circumscribed polygon. The construction methods of cyclic polygon and circumscribed polygon center-coincident deployable mechanisms based on N-TGAE I and N-TGAE I are presented.