The use of robotics to enhance visualization and tissue manipulation capabilities contributes to the advancement of minimally invasive surgery. For the development of surgical robot manipulators, the use of advanced dynamic control is an important aspect at the design stage to determine the driving forces and/or torques, which must be exerted by the actuators in order to produce a desirable trajectory of the end effector. Therefore, this study focuses on the generation of inverse dynamic models for a spherical bevel-geared mechanism called Compact Bevel-geared Robot for Advanced Surgery (CoBRASurge), which is used as a surgical tool manipulator. For given typical trajectories of end effectors in clinical experiments, the motion of each element in the mechanism can be derived using the inverse kinematic equations. The driving torques exerted by actuators can be determined according to the presented inverse dynamic formulations. The simulation results of CoBRASurge reveal the nature of the driving torques in spherical bevel-geared mechanisms. In addition, sensitivity analysis of mass contribution has been performed to evaluate the effect of individual elements on the peak driving torques. Dynamic models, such as the one presented, can be used for the design of advanced dynamic control systems, including gravity compensation and haptic interfaces for enhanced surgical functionality. The accompanying sensitivity analysis also provides a solid guideline for the design of the next generation CoBRASurge prototype. The present dynamic modeling methodology also gives a general dynamic analysis approach for other spherical articulated linkage mechanisms.
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e-mail: xiaoli.zhang@wilkes.edu
e-mail: cnelson5@unl.edu
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December 2010
Research Papers
On the Dynamic Modeling of a Bevel-Geared Surgical Robotic Mechanism
Xiaoli Zhang,
Xiaoli Zhang
Division of Engineering and Physics,
e-mail: xiaoli.zhang@wilkes.edu
Wilkes University
, Wilkes-Barre, PA 18766
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Carl A. Nelson
Carl A. Nelson
Department of Mechanical Engineering,
e-mail: cnelson5@unl.edu
University of Nebraska-Lincoln
, Lincoln, NE 68588; Department of Surgery, Center for Advanced Surgical Technology, University of Nebraska Medical Center
, Omaha, NE 68198
Search for other works by this author on:
Xiaoli Zhang
Division of Engineering and Physics,
Wilkes University
, Wilkes-Barre, PA 18766e-mail: xiaoli.zhang@wilkes.edu
Carl A. Nelson
Department of Mechanical Engineering,
University of Nebraska-Lincoln
, Lincoln, NE 68588; Department of Surgery, Center for Advanced Surgical Technology, University of Nebraska Medical Center
, Omaha, NE 68198e-mail: cnelson5@unl.edu
J. Med. Devices. Dec 2010, 4(4): 041002 (11 pages)
Published Online: October 12, 2010
Article history
Received:
September 5, 2009
Revised:
August 26, 2010
Online:
October 12, 2010
Published:
October 12, 2010
Citation
Zhang, X., and Nelson, C. A. (October 12, 2010). "On the Dynamic Modeling of a Bevel-Geared Surgical Robotic Mechanism." ASME. J. Med. Devices. December 2010; 4(4): 041002. https://doi.org/10.1115/1.4002549
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