orthogonal plane
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2019 ◽  
Vol 15 ◽  
pp. 1829-1837 ◽  
Author(s):  
Jason Yin Hei Man ◽  
Ho Yu Au-Yeung

A series of hetero [4]-, [5]- and [6]rotaxanes containing both cucurbit[6]uril (CB[6]) and γ-cyclodextrin (γ-CD) as the macrocyclic components have been synthesized via a threading-followed-by-stoppering approach. Due to the orthogonal binding of CB[6] to ammonium and γ-CD to biphenylene/tetra(ethylene glycol), the [n]rotaxanes display a specific sequence of the interlocked macrocycles. In addition, despite of the asymmetry of γ-CD with respect to the orthogonal plane of the axle, only one stereoisomer of the [6]rotaxane was obtained.


2019 ◽  
Vol 11 (4) ◽  
Author(s):  
Damien Chablat ◽  
Luc Rolland

This article presents a new variable actuation mechanism based on the 3-RPR parallel robot. This mechanism is an evolution of the NaVARo robot, a 3-RRR parallel robot, for which the second revolute joint of the three legs is replaced by a scissor to obtain a larger working space and avoid the use of parallelograms to operate the second revolute joint. To obtain better spatial rigidity, the leg mechanism is constructed by placing the scissors in an orthogonal plane to the plane of the manipulator displacement (3-RRR or even the 3-RPR). This geometric property brings the significant consequence of allowing the scissors to directly substitute the prismatic chains in the 3-RPR and enjoy the same kinematics advantages for the overall robots as only one solution to the inverse kinematic model. From the Jacobian expression, surfaces of singularity can be calculated and presented in a compact form. The singularity equations are presented for a robot with a similar base and mobile platform. The properties of the scissors are then determined to have a prescribed regular workspace.


Author(s):  
Damien Chablat ◽  
Luc Rolland

This article presents a new variable actuation mechanism based on the 3-RPR parallel robot. This mechanism is an evolution of the NaVARo robot, a 3-RRR parallel robot, for which the second revolute joint of the three legs is replaced by a scissor to obtain a larger working space and avoid the use of parallelograms to operate the second revolute joint. To obtain a better spatial rigidity, the leg mechanism is constructed by placing the scissors in an orthogonal plane to the displacement. Unlike the first NaVARO robot, the kinematic model is simpler because there is only one solution to the inverse kinematic model. Surfaces of singularity can be calculated and presented in a compact form. The singularity equations are presented for a robot with a similar base and mobile platform.


2018 ◽  
Vol 13 (9) ◽  
pp. 1321-1333 ◽  
Author(s):  
Arash Pourtaherian ◽  
Farhad Ghazvinian Zanjani ◽  
Svitlana Zinger ◽  
Nenad Mihajlovic ◽  
Gary C. Ng ◽  
...  

2017 ◽  
Vol 62 (11) ◽  
pp. 4571-4588 ◽  
Author(s):  
M Flesch ◽  
M Pernot ◽  
J Provost ◽  
G Ferin ◽  
A Nguyen-Dinh ◽  
...  

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