Design of a 2-DOF 8R Linkage for Transformable Hypar Structure

Double curved geometries including hyperbolicparaboloids (hypars) have become a trend in contemporary architecture. However, most of the constructed architectural examples of the hypars are static and cannot offer any form variability. In this paper, a 2-DOF 8 R linkage mechanism is introduced to buildtransformable hypar structures. It is inspired from the basic design principles of Bennett linkage. By its distinctive connection details and additional links, this novel mechanism can change its form fromplanar geometries to various hypars. The paper begins with the brief summary of the applications of hypar structures in architecture. Secondly, main principles and deficiencies of the Bennett linkage are presented. According to these deficiencies, structural synthesis of the novel mechanism is considered. Finally, advantages and potential uses of the proposed novel mechanism are explained.

[1]  J.Eddie Baker.  On the essential barrier to spatial analogues of plane linkage networks , 1988 .

[2]  Yu Hon-Cheung.  The Bennett linkage, its associated tetrahedron and the hyperboloid of its axes , 1981 .

[3]  Yan Chen,et al.  Square Deployable Frames for Space Applications. Part 1: Theory , 2006 .

[4]  W. J. Beranek.  Understanding of structures , 1988 .

[5]  J. Dai,et al.  Mobility in Metamorphic Mechanisms of Foldable/Erectable Kinds , 1998 .

[6]  G. K. Ananthasuresh,et al.  A kinematic theory for radially foldable planar linkages , 2007 .

[7]  Chintien Huang,et al.  The Cylindroid Associated With Finite Motions of the Bennett Mechanism , 1997 .

[8]  Charis J. Gantes,et al.  A novel adaptive spatial scissor-hinge structural mechanism for convertible roofs , 2011 .

[9]  Jerome J. Connor,et al.  A Systematic Design Methodology for Deployable Structures , 1994 .

[10]  Zhong You,et al.  On mobile assemblies of Bennett linkages , 2008, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[11]  J.Eddie Baker.  On equivalent motions in spatial linkages , 2000 .

[12]  J.Eddie Baker.  The axodes of the Bennett linkage , 2001 .

[13]  Koray Korkmaz.  Generation of a New Type of Architectural Umbrella , 2005 .

[14]  G. Kiper,et al.  A family of deployable polygons and polyhedra , 2008 .

[15]  G. T. Bennett,et al.  The Skew Isogram Mechanism , 1914 .

[16]  Yan Chen,et al.  Design of structural mechanisms , 2003 .

[17]  Yaozhi Luo,et al.  Deployable membrane structure based on the Bennett linkage , 2007 .

[18]  Alba Perez,et al.  Dimensional synthesis of Bennett linkages , 2003 .

[19]  Zhong You,et al.  Mobile assemblies based on the Bennett linkage , 2005, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[20]  Sunil K. Agrawal,et al.  Polyhedral Single Degree-of-freedom Expanding Structures: Design and Prototypes , 2002 .

[21]  J.Eddie Baker.  The Bennett linkage and its associated quadric surfaces , 1988 .

[22]  F Escrig,et al.  Geometry of Expandable Space Structures , 1993 .

[23]  Yan Chen,et al.  Square deployable frames for space applications. Part 2: Realization , 2007 .

[24]  T. Kokawa.  Structural idea of retractable loop-dome , 2000 .