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  HomeContents of Chinese Journal of Mechanical Engineering (English Edition),2007 No.6FORWARD KINEMATICS ANALYSIS FOR A NOVEL 5-DOF PARALLEL MECHANISM USING TETRAHEDRON CONFIGURATIONS

QI Ming
School of Mechanical Engineering,
Tianjin University,
Tianjin 300072, China

QIE Yanhui
School of Mechanical Engineering, Hebei University of Technology,
Tianjin 300130, China

 

 

FORWARD KINEMATICS ANALYSIS FOR A NOVEL 5-DOF PARALLEL MECHANISM USING TETRAHEDRON CONFIGURATIONS 

 

Abstract: Forward kinematics analysis of a novel 5-DOF parallel mechanism using tetrahedron configurations is presented. Such mechanism is suitable to many tasks requiring less than 6 DOFs. It consists of a movable platform connected to the base by five identical 6-DOF active limbs plus one active limb with its DOF being exactly the same as the specified DOF of the movable platform, which leads to its legs’ topology 4-UPS/UPU. Based on the tetrahedron geometry, both closed-form solution with an extra sensor and numerical method using iterative algorithm are employed to obtain the forward kinematics solutions of the mechanism. Compared with the conventional methods, the proposed closed-form solution has the advantages in automatically avoiding unnecessary complex roots and getting a unique solution for the forward kinematics. Finally, an example shows that the proposed numerical algorithm is so effective that it enables a real-time forward kinematics solution to be achieved and the initial value can be chosen easily.

Key words: Forward  kinematics  Numerical analysis  Parallel mechanism

 


Received November 8, 2006; received in revised form July 16, 2007; accepted August 1, 2007

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