Characteristics of the double-cycled motion-ruled surface of the Schatz linkage based on differential geometry
2014 ◽
Vol 229
(5)
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pp. 957-964
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Keyword(s):
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.
1987 ◽
Vol 109
(1)
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pp. 101-106
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2008 ◽
Vol 2008
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pp. 1-19
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Keyword(s):
2011 ◽
Vol 28
(4)
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pp. 667
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1915 ◽
Vol 16
(1)
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pp. 89
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Keyword(s):
1933 ◽
Vol 29
(3)
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pp. 382-388
2006 ◽
Vol 37
(3)
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pp. 221-226
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