Mobility of ‘
N
-loops’: bodies cyclically connected by intersecting revolute hinges
2009 ◽
Vol 466
(2113)
◽
pp. 63-77
◽
Keyword(s):
The mobilities of many objects from toys and molecular models to large-scale deployable structures can be understood in terms of N -loops: sets of N bodies, cyclically connected by pairs of intersecting revolute hinges. A symmetry-extended version of the Grübler criterion for counting kinematic degrees of freedom is used to explain and rationalize the observed mobilities of N -loops with small N . Compared with simple counting, the symmetry-based approach gives improved detection and visualization of mechanisms and states of self-stress. It can also give a better account of the differing mobilities of conformers occupying different regions of the phase space, such as the rigid chair and flexible boat forms of cyclohexane.
2021 ◽
pp. 155534342110295
Keyword(s):
Keyword(s):
2003 ◽
Vol 125
(4)
◽
pp. 234-241
◽
2011 ◽
Vol 82
◽
pp. 722-727
◽
Keyword(s):
1999 ◽
pp. 295-299
◽
Keyword(s):