HYPERBOLIC PARABOLOID (HP) PANTOGRAPHIC STRUCTURE WITH LINER SCISSORS

Abstract

A pantograph is a foldable structure which consists of scissor link units. A unit consists of two bars elements which are capable of rotating about their intermediate pivot node. The pantographic structures are generally utilized in flat (like roof), cylindrical (like barrel), and spherical (like dome) deployable structure and they are not used in anticlastic structure like hyperbolic parabolic (HP) structure. The HP surface may form when a convex parabolic goes on the length of concave ones with the same curvature. On the other hand, the hyperbolic surface can be constructed using two families of mutually skew lines in which the lines in each family are parallel to a common plane, but not to each other. In this paper, the creation of HP surface with pantographic structure is presented. The creation of a HP pantographic structure is demonstrated with the use of three methods including: a) two border scissors; b) four border scissors; c) All-scissor HP Pantographic Structures. Finally, the proposed methods have been compared.