Transformation of polyhedrons

Polyhedral transformation enables large volumetric change amongst Platonic and Archimedean solids. It has great potential in applications where transportability and protection of payload are critical design features, e.g., small or micro satellites, space habitats or planetary rovers. However, exist...

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Bibliografische gegevens
Hoofdauteurs: Chen, Y, Yang, F, You, Z
Formaat: Journal article
Gepubliceerd in: Elsevier 2018
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author Chen, Y
Yang, F
You, Z
author_facet Chen, Y
Yang, F
You, Z
author_sort Chen, Y
collection OXFORD
description Polyhedral transformation enables large volumetric change amongst Platonic and Archimedean solids. It has great potential in applications where transportability and protection of payload are critical design features, e.g., small or micro satellites, space habitats or planetary rovers. However, existing designs introduce many degrees of freedoms, making the control of transformation process extremely difficult and cumbersome, and thus the practical applicability of the mechanisms is restricted. This paper develops a kinematic method to enable polyhedral transformation with a single degree of freedom. The approach has been implemented for the transformation between truncated octahedron and cube. Motion analysis indicates that transformation path is unique without singularity, which is further demonstrated with physical validation models. We envisage that our method could be suitable for extension to other paired polyhedron sets.
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spelling oxford-uuid:28e1d8ad-c160-4e1c-be63-88a2c7b4f9c22022-03-26T12:15:43ZTransformation of polyhedronsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:28e1d8ad-c160-4e1c-be63-88a2c7b4f9c2Symplectic Elements at OxfordElsevier2018Chen, YYang, FYou, ZPolyhedral transformation enables large volumetric change amongst Platonic and Archimedean solids. It has great potential in applications where transportability and protection of payload are critical design features, e.g., small or micro satellites, space habitats or planetary rovers. However, existing designs introduce many degrees of freedoms, making the control of transformation process extremely difficult and cumbersome, and thus the practical applicability of the mechanisms is restricted. This paper develops a kinematic method to enable polyhedral transformation with a single degree of freedom. The approach has been implemented for the transformation between truncated octahedron and cube. Motion analysis indicates that transformation path is unique without singularity, which is further demonstrated with physical validation models. We envisage that our method could be suitable for extension to other paired polyhedron sets.
spellingShingle Chen, Y
Yang, F
You, Z
Transformation of polyhedrons
title Transformation of polyhedrons
title_full Transformation of polyhedrons
title_fullStr Transformation of polyhedrons
title_full_unstemmed Transformation of polyhedrons
title_short Transformation of polyhedrons
title_sort transformation of polyhedrons
work_keys_str_mv AT cheny transformationofpolyhedrons
AT yangf transformationofpolyhedrons
AT youz transformationofpolyhedrons