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Frontiers of Mechanical Engineering

ISSN 2095-0233

ISSN 2095-0241(Online)

CN 11-5984/TH

邮发代号 80-975

2019 Impact Factor: 2.448

Frontiers of Mechanical Engineering  2012, Vol. 7 Issue (2): 163-187   https://doi.org/10.1007/s11465-012-0324-5
  RESEARCH ARTICLE 本期目录
Singularity and workspace analysis of three isoconstrained parallel manipulators with schoenflies motion
Singularity and workspace analysis of three isoconstrained parallel manipulators with schoenflies motion
Po-Chih LEE, Jyh-Jone LEE()
Department of Mechanical Engineering, Taiwan University, Taipei, China
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Abstract

This paper presents the analysis of three parallel manipulators with Schoenflies-motion. Each parallel manipulator possesses two limbs in structure and the end-effector has three DOFs (degree of freedom) in the translational motion and one DOF in rotational motion about a given direction axis with respect to the world coordinate system. The three isoconstrained parallel manipulators have the structures denoted as CuuUwHw-//-CvvUwHw, CuRuuUhw-//-CvRvvUhw and CuPuUhw-//- CvPvUhw. The kinematic equations are first introduced for each manipulator. Then, Jacobian matrix, singularity, workspace, and performance index for each mechanism are subsequently derived and analysed for the first time. The results can be helpful for the engineers to evaluate such kind of parallel robots for possible application in industry where pick-and-place motion is required.

Key wordsparallel manipulator    schoenflies motion    kinematics    singularity    workspace    performance index
收稿日期: 2012-01-31      出版日期: 2012-06-05
Corresponding Author(s): LEE Jyh-Jone,Email:jjlee@ntu.edu.tw   
 引用本文:   
. Singularity and workspace analysis of three isoconstrained parallel manipulators with schoenflies motion[J]. Frontiers of Mechanical Engineering, 2012, 7(2): 163-187.
Po-Chih LEE, Jyh-Jone LEE. Singularity and workspace analysis of three isoconstrained parallel manipulators with schoenflies motion. Front Mech Eng, 2012, 7(2): 163-187.
 链接本文:  
https://academic.hep.com.cn/fme/CN/10.1007/s11465-012-0324-5
https://academic.hep.com.cn/fme/CN/Y2012/V7/I2/163
Fig.1  
The first LimbThe second Limb
jaijαijdijθijaijαijdijθij
1a110d11θ11a210d21θ21
203π/20θ120π/20θ22
3a1300θ13a2300θ23
40p-d14θ140π-d24θ24
Tab.1  
The first LimbThe second Limb
jaijαijdijθijaijαijdijθij
1a110d11θ11a210d21θ21
2a1200θ12a2200θ22
303π/20θ130π/20θ23
40π-d14θ140π-d24θ24
Tab.2  
The first LimbThe second Limb
jaijαijdijθijaijαijdijθij
10π/2d11θ110π/2d21θ21
20π/2d12π0π/2d22π
303π/20θ130π/20θ23
40π-d14θ140π-d24θ24
Tab.3  
Fig.2  
Fig.3  
Fig.4  
Fig.5  
Fig.6  
Fig.7  
Fig.8  
Fig.9  
Fig.10  
Given structural parameters and data
a11=a21=27.0 cm,a13=a23=32.0 cm,L=42.5 cm,f=21.5 cm,
?0d14=23.5 cm,?0d24=67.74 cm,p1=3.0 cmp2=-0.75 cm,(d11)min?=(d21)min?=5.0 cm,(d11)max?=(d21)max?=91.0 cm,
(θ11)min?=(θ21)min?=-77.4°,(θ11)max?=(θ21)max?=77.4°
Tab.4  
Fig.11  
Fig.12  
Fig.13  
Given structural parameters and data
a11=a21=25.0 cm,a13=a23=33.0 cm,L=44.20710678 cm,
f=22.5 cm,?0d14=23.5 cm,?0d24=67.0 cm,p1=2.5 cm,p2=-2.5 cm(d11)min?=(d21)min?=10.0 cm,(d11)max?=(d21)max?<58.0 cm,
(θ11)min?=(θ21)min?=-80.0°,(θ11)max?=(θ21)max?=80.0°
Tab.5  
Fig.14  
Fig.15  
Fig.16  
Given structural parameters and data
L=43.5 cm,f=22.0 cm,?0d14=23.5 cm,?0d24=67.0 cm,p1=20.0 cm,p2=-20.0 cm,(d11)min?=(d21)min?(d11)max?=(d21)max?=120.0 cm=40.0 cm,
(θ11)min?=(θ21)min?=-60.0°,(θ11)max?=(θ21)max?=60.0°
Tab.6  
Fig.17  
Fig.18  
Fig.19  
Fig.20  
Fig.21  
Fig.22  
Fig.23  
Fig.24  
Fig.25  
Fig.26  
Fig.27  
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