Title
Efficient modeling and computation of manipulator dynamics using orthogonal Cartesian tensors
Abstract
The authors use orthogonal second-order Cartesian tensors to formulate the Newton-Euler dynamic equations for a robot manipulator. Based on this formulation, they develop two efficient recursive algorithms for computing the joint actuator torques/forces. The proposed algorithms are applicable to all rigid-link manipulators with open-chain kinematic structures with revolute and/or prismatic joints. An efficient implementation of one of the proposed algorithms shows that the joint torques/forces for a six-degrees-of-freedom manipulator with revolute joints, can be computed in approximately 489 multiplications and 420 additions. For manipulators with zero or 90° twist angles, the required computations are reduced to 388 multiplications and 370 additions. For manipulators with even simpler geometric structures, these arithmetic operations can be further reduced to 277 multiplications and 255 additions
Year
DOI
Venue
1988
10.1109/56.9304
Robotics and Automation, IEEE Journal of  
Keywords
Field
DocType
dynamics,robots,Newton-Euler dynamic equations,manipulator dynamics,open-chain kinematic structures,orthogonal Cartesian tensors,rigid-link manipulators,robot
Kinematics,Control theory,Cartesian tensor,Robot kinematics,Control engineering,Industrial robot,Revolute joint,Mathematics,Computational complexity theory,Computation,Actuator
Journal
Volume
Issue
ISSN
4
6
0882-4967
Citations 
PageRank 
References 
13
2.17
5
Authors
3
Name
Order
Citations
PageRank
C. A. Balafoutis14610.06
R. V. Patel27010.54
Pradeep Misra314920.90