Analysis of pantograph foldable structures

A review of planar scissor structural mechanisms: geometric principles and design methods

“…Patel and Ananthasuresh (2007) have explained the geometry and kinematics of scissor systems based on angulated elements and plates. Finally, Kaveh and Davaran (1996), Nagaraj et al (2009) and Zhao and Feng (2009) made a deep geometric and kinematic analysis of planar and spatial SUs and simple grids, using matrix-based methods. In fact, many calculation methods for designing both planar and spatial SSMs have been developed using simple geometric approaches based on trigonometric, analytic or matrix methods.…”

Structure synthesis and statics analysis of a foldable stair

“…Therefore, deployable structures were widely investigated in the late 20th century. The deployable concept was coined by Fuller in the early 1960s [2] and was initially used to the movable theater in the 1960s by Pienro, an architect from Spain [3,4]. From the viewpoint of mechanism theory, the deployable structures were probed as early as the 19th century by Sarrus, Bricard, and in the early 20th century by Bennett et al [5].…”

“…Because it has both the operational flexibility of a mechanism and the high strength and high rigidity of a statically indeterminate structure, the deployable structure has wide applications in civil engineering, mechanical engineering and space engineering. Escrig and Valcarcel [3] and Kaveh and Davaran [4] analyzed the foldable structures from the geometry conformation. Nagaraj et al [6] investigated the kinematics of the foldable structures in space engineering by focusing on pantograph masts.…”

“…Among the deployable structures, the foldable structures with large span based on scissor-like element [4,19,24] are generally used in engineering. A scissor-like element (SLE) shown in Fig.…”

A novel 2-DOF planar translational mechanism composed by scissor-like elements

“…The kinematic chain comprised by SLEs has a wide range of motion, which provides a benefit for the mechanism design. In the 1960s, a Spanish architect, E. P. Pienro (Escrig and Valcarcel, 1993;Kaveh and Davaran, 1996), initially employed SLEs to construct the movable theater. After that, SLEs were gradually applied from small-scale structures (Rosenfeld and Logcher, 1988;Escrig et al, 1996) to aerospace structures (Langbecker, 1999).…”