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A Kinematic Theory for Planar Hoberman and Other Novel Foldable Mechanisms

Patel, Jiten and Ananthasuresh, GK (2006) A Kinematic Theory for Planar Hoberman and Other Novel Foldable Mechanisms. In: CD-ROM Proceedings of the ASME International Design Engineering and Technical Conferences, September 10–13, 2006, Philadelphia, Pennsylvania.

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In this paper, we present a kinematic theory for Hoberman and other similar foldable linkages. By recognizing that the building blocks of such linkages can be modeled as planar linkages, different classes of possible solutions are systematically obtained including some novel arrangements. Criteria for foldability are arrived by analyzing the algebraic locus of the coupler curve of a PRRP linkage. They help explain generalized Hoberman and other mechanisms reported in the literature. New properties of such mechanisms including the extent of foldability, shape-preservation of the inner and outer profiles, multi-segmented assemblies and heterogeneous circumferential arrangements are derived. The design equations derived here make the conception of even complex planar radially foldable mechanisms systematic and easy. Representative examples are presented to illustrate the usage of the design equations and the kinematic theory.

Item Type: Conference Paper
Publisher: ASME
Additional Information: Copyright of this article belongs to ASME.
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 22 Nov 2011 05:10
Last Modified: 22 Nov 2011 05:10
URI: http://eprints.iisc.ac.in/id/eprint/42323

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