Characteristics of the double-cycled motion-ruled surface of the Schatz linkage based on differential geometry
This paper applies Euclidean invariants from differential geometry to kinematic properties of the ruled surfaces generated by the coupler link and the constraint-screw axes. Starting from investigating the assembly configuration, the work reveals two cycle phases of the coupler link when the input l...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Professional Engineering Publishing Ltd.
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/7649 |
| _version_ | 1848745430515449856 |
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| author | Cui, Lei Dai, J. Lee, C. |
| author_facet | Cui, Lei Dai, J. Lee, C. |
| author_sort | Cui, Lei |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper applies Euclidean invariants from differential geometry to kinematic properties of the ruled surfaces generated by the coupler link and the constraint-screw axes. Starting from investigating the assembly configuration, the work reveals two cycle phases of the coupler link when the input link finishes a full rotation. This leads to analysis of the motion ruled surface generated by the directrix along the coupler link, where Euclidean invariants are obtained and singularities are identified. This work further presents the constraint ruled surface that is generated by the constraint screw axes and unveils its intrinsic characteristics. |
| first_indexed | 2025-11-14T06:17:14Z |
| format | Journal Article |
| id | curtin-20.500.11937-7649 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:17:14Z |
| publishDate | 2014 |
| publisher | Professional Engineering Publishing Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-76492017-09-13T14:33:46Z Characteristics of the double-cycled motion-ruled surface of the Schatz linkage based on differential geometry Cui, Lei Dai, J. Lee, C. differential geometry Euclidean invariants ruled surface Over-constrained mechanism This paper applies Euclidean invariants from differential geometry to kinematic properties of the ruled surfaces generated by the coupler link and the constraint-screw axes. Starting from investigating the assembly configuration, the work reveals two cycle phases of the coupler link when the input link finishes a full rotation. This leads to analysis of the motion ruled surface generated by the directrix along the coupler link, where Euclidean invariants are obtained and singularities are identified. This work further presents the constraint ruled surface that is generated by the constraint screw axes and unveils its intrinsic characteristics. 2014 Journal Article http://hdl.handle.net/20.500.11937/7649 10.1177/0954406214541430 Professional Engineering Publishing Ltd. fulltext |
| spellingShingle | differential geometry Euclidean invariants ruled surface Over-constrained mechanism Cui, Lei Dai, J. Lee, C. Characteristics of the double-cycled motion-ruled surface of the Schatz linkage based on differential geometry |
| title | Characteristics of the double-cycled motion-ruled surface of the Schatz linkage based on differential geometry |
| title_full | Characteristics of the double-cycled motion-ruled surface of the Schatz linkage based on differential geometry |
| title_fullStr | Characteristics of the double-cycled motion-ruled surface of the Schatz linkage based on differential geometry |
| title_full_unstemmed | Characteristics of the double-cycled motion-ruled surface of the Schatz linkage based on differential geometry |
| title_short | Characteristics of the double-cycled motion-ruled surface of the Schatz linkage based on differential geometry |
| title_sort | characteristics of the double-cycled motion-ruled surface of the schatz linkage based on differential geometry |
| topic | differential geometry Euclidean invariants ruled surface Over-constrained mechanism |
| url | http://hdl.handle.net/20.500.11937/7649 |