Design Innovation Paper

The Wide-Open Three-Legged Parallel Robot for Long-Bone Fracture Reduction

[+] Author and Article Information
Mohammad H. Abedinnasab

Department of Biomedical Engineering,
Rowan University,
Glassboro, NJ 08028
e-mail: abedin@rowan.edu

Farzam Farahmand

School of Mechanical Engineering,
Sharif University of Technology,
Tehran 11365-9567, Iran;
Tehran University of Medical Sciences,
Tehran, Iran

Jaime Gallardo-Alvarado

Department of Mechanical Engineering,
Instituto Tecnológico de Celaya,
Celaya 38010, GTO, México

Manuscript received May 17, 2016; final manuscript received December 10, 2016; published online January 12, 2017. Assoc. Editor: Byung-Ju Yi.

J. Mechanisms Robotics 9(1), 015001 (Jan 12, 2017) (10 pages) Paper No: JMR-16-1145; doi: 10.1115/1.4035495 History: Received May 17, 2016; Revised December 10, 2016

Robotic reduction of long bones is associated with the need for considerable force and high precision. To balance the accuracy, payload, and workspace, we have designed a new six degrees-of-freedom three-legged wide-open robotic system for long-bone fracture reduction. Thanks to the low number of legs and their nonsymmetrical configuration, the mechanism enjoys a unique architecture with a frontally open half-plane. This facilitates positioning the leg inside the mechanism and provides a large workspace for surgical maneuvers, as shown and compared to the well-known Gough–Stewart platform. The experimental tests on a phantom reveal that the mechanism is well capable of applying the desired reduction steps against the large muscular payloads with high accuracy.

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Kaye, J. , and Jick, H. , 2004, “ Epidemiology of Lower Limb Fractures in General Practice in the United Kingdom,” Inj. Prev., 10(6), pp. 368–374. [CrossRef] [PubMed]
Hung, S.-S. , and Lee, M.-Y. , 2010, “ Functional Assessment of a Surgical Robot for Reduction of Lower Limb Fractures,” Int. J. Med. Rob. Comput. Assisted Surg., 6(4), pp. 413–421. [CrossRef]
Tang, P. , Hu, L. , Du, H. , Gong, M. , and Zhang, L. , 2012, “ Novel 3D Hexapod Computer-Assisted Orthopaedic Surgery System for Closed Diaphyseal Fracture Reduction,” Int. J. Med. Rob. Comput. Assisted Surg., 8(1), pp. 17–24. [CrossRef]
Wolinsky, P. R. , McCarty, E. , Shyr, Y. , and Johnson, K. , 1999, “ Reamed Intramedullary Nailing of the Femur: 551 Cases,” J. Trauma Acute Care Surg., 46(3), pp. 392–399. [CrossRef]
Gosling, T. , Westphal, R. , Hufner, T. , Faulstich, J. , Kfuri, M., Jr. , Wahl, F. , and Krettek, C. , 2005, “ Robot-Assisted Fracture Reduction: A Preliminary Study in the Femur Shaft,” Med. Biol. Eng. Comput., 43(1), pp. 115–120. [CrossRef] [PubMed]
Buschbaum, J. , Fremd, R. , Pohlemann, T. , and Kristen, A. , 2015, “ Computer-Assisted Fracture Reduction: A New Approach for Repositioning Femoral Fractures and Planning Reduction Paths,” Int. J. Comput. Assisted Radiol. Surg., 10(2), pp. 149–159. [CrossRef]
Füchtmeier, B. , Egersdoerfer, S. , Mai, R. , Hente, R. , Dragoi, D. , Monkman, G. , and Nerlich, M. , 2004, “ Reduction of Femoral Shaft Fractures in vitro by a New Developed Reduction Robot System ‘Reporobo’,” Injury, 35(1), pp. 113–119. [CrossRef]
Oszwald, M. , Ruan, Z. , Westphal, R. , O'Loughlin, P. F. , Kendoff, D. , Hufner, T. , Wahl, F. , Krettek, C. , and Gosling, T. , 2008, “ A Rat Model for Evaluating Physiological Responses to Femoral Shaft Fracture Reduction Using a Surgical Robot,” J. Orthop. Res., 26(12), pp. 1656–1659. [CrossRef] [PubMed]
Hawi, N. , Haentjes, J. , Suero, E. M. , Liodakis, E. , Krettek, C. , Stübig, T. , Hüfner, T. , and Citak, M. , 2011, “ Navigated Femoral Shaft Fracture Treatment: Current Status,” Technol. Health Care, 20(1), pp. 65–71.
Westphal, R. , Winkelbach, S. , Gösling, T. , Hüfner, T. , Faulstich, J. , Martin, P. , Krettek, C. , and Wahl, F. , 2006, “ A Surgical Telemanipulator for Femur Shaft Fracture Reduction,” Int. J. Med. Rob. Comput. Assisted Surg., 2(3), pp. 238–250. [CrossRef]
Westphal, R. , Winkelbach, S. , Wahl, F. , Gösling, T. , Oszwald, M. , Hüfner, T. , and Krettek, C. , 2009, “ Robot-Assisted Long Bone Fracture Reduction,” Int. J. Rob. Res., 28(10), pp. 1259–1278. [CrossRef]
Oszwald, M. , Westphal, R. , Bredow, J. , Calafi, A. , Hufner, T. , Wahl, F. , Krettek, C. , and Gosling, T. , 2010, “ Robot-Assisted Fracture Reduction Using Three-Dimensional Intraoperative Fracture Visualization: An Experimental Study on Human Cadaver Femora,” J. Orthop. Res., 28(9), pp. 1240–1244. [CrossRef] [PubMed]
Li, C. , Wang, T. , Hu, L. , Zhang, L. , Du, H. , Wang, L. , Luan, S. , and Tang, P. , 2014, “ Accuracy Analysis of a Robot System for Closed Diaphyseal Fracture Reduction,” Int. J. Adv. Rob. Syst., 11(10), p. 169.
Seide, K. , Faschingbauer, M. , Wenzl, M. , Weinrich, N. , and Juergens, C. , 2004, “ A Hexapod Robot External Fixator for Computer Assisted Fracture Reduction and Deformity Correction,” Int. J. Med. Rob. Comput. Assisted Surg., 1(1), pp. 64–69. [CrossRef]
Maeda, Y. , Sugano, N. , Saito, M. , Yonenobu, K. , Sakuma, I. , Nakajima, Y. , Warisawa, S. , and Mitsuishi, M. , 2008, “ Robot-Assisted Femoral Fracture Reduction: Preliminary Study in Patients and Healthy Volunteers,” Comput. Aided Surg., 13(3), pp. 148–156. [CrossRef] [PubMed]
Majidifakhr, K. , Kazemirad, S. , and Farahmand, F. , 2009, “ Robotic Assisted Reduction of Femoral Shaft Fractures Using Stewart Platform,” Stud. Health Technol. Inf., 142, pp. 177–179.
Ye, R. , Chen, Y. , and Yau, W. , 2012, “ A Simple and Novel Hybrid Robotic System for Robot-Assisted Femur Fracture Reduction,” Adv. Rob., 26(1–2), pp. 83–104. [CrossRef]
Hu, L. , Zhang, J. , Li, C. , Wang, Y. , Yang, Y. , Tang, P. , Fang, L. , Zhang, L. , Du, H. , and Wang, L. , 2013, “ A Femur Fracture Reduction Method Based on Anatomy of the Contralateral Side,” Comput. Biol. Med., 43(7), pp. 840–846. [CrossRef] [PubMed]
Wang, J. , Han, W. , and Lin, H. , 2013, “ Femoral Fracture Reduction With a Parallel Manipulator Robot on a Traction Table,” Int. J. Med. Rob. Comput. Assisted Surg., 9(4), pp. 464–471. [CrossRef]
Wang, T. , Li, C. , Hu, L. , Tang, P. , Zhang, L. , Du, H. , Luan, S. , Wang, L. , Tan, Y. , and Peng, C. , 2014, “ A Removable Hybrid Robot System for Long Bone Fracture Reduction,” Biomed. Mater. Eng., 24(1), pp. 501–509. [PubMed]
Du, H. , Hu, L. , Li, C. , Wang, T. , Zhao, L. , Li, Y. , Mao, Z. , Liu, D. , Zhang, L. , He, C. , Zhang, L. , Hou, H. , Zhang, L. , and Tang, P. , 2015, “ Advancing Computer-Assisted Orthopaedic Surgery Using a Hexapod Device for Closed Diaphyseal Fracture Reduction,” Int. J. Med. Rob. Comput. Assisted Surg., 11(3), pp. 348–359. [CrossRef]
Staubli, 2016, “Robotics, SCARA and 6 Axis Industrial Robots & Software Solutions,” Staubli, Pfaffikon, Switzerland.
Gough, V. E. , and Whitehall, S. G. , 1962, “ Universal Tyre Test Machine,” 9th International Technical Congress FISITA, pp. 117–137.
Stewart, D. , 1965, “ A Platform With Six Degrees of Freedom,” Proc. Inst. Mech. Eng., Part A, 180(1965), pp. 371–386. [CrossRef]
St-Onge, B. M. , and Gosselin, C. M. , 2000, “ Singularity Analysis and Representation of the General Gough–Stewart Platform,” Int. J. Rob. Res., 19(3), pp. 271–288. [CrossRef]
Dasgupta, B. , and Mruthyunjaya, T. , 2000, “ The Stewart Platform Manipulator: A Review,” Mech. Mach. Theory, 35(1), pp. 15–40. [CrossRef]
Li, H. , Gosselin, C. M. , and Richard, M. J. , 2007, “ Determination of the Maximal Singularity-Free Zones in the Six-Dimensional Workspace of the General,” Mech. Mach. Theory, 42(4), pp. 497–511. [CrossRef]
Jiang, Q. , and Gosselin, C. M. , 2009, “ Determination of the Maximal Singularity-Free Orientation Workspace for the Gough–Stewart Platform,” Mech. Mach. Theory, 44(6), pp. 1281–1293. [CrossRef]
Jiang, Q. , and Gosselin, C. M. , 2009, “ Maximal Singularity-Free Total Orientation Workspace of the Gough–Stewart Platform,” ASME J. Mech. Rob., 1(3), p. 034501. [CrossRef]
Jiang, Q. , and Gosselin, C. M. , 2009, “ Evaluation and Representation of the Theoretical Orientation Workspace of the Gough–Stewart Platform,” ASME J. Mech. Rob., 1(2), p. 021004. [CrossRef]
Inner, B. , and Kucuk, S. , 2013, “ A Novel Kinematic Design, Analysis and Simulation Tool for General Stewart Platforms,” Simulation, 89(7), pp. 876–897. [CrossRef]
Liu, G. , Qu, Z. , Liu, X. , and Han, J. , 2014, “ Singularity Analysis and Detection of 6-UCU Parallel Manipulator,” Rob. Comput.-Integr. Manuf., 30(2), pp. 172–179. [CrossRef]
Karimi, A. , Masouleh, M. T. , and Cardou, P. , 2014, “ Singularity-Free Workspace Analysis of General 6-UPS Parallel Mechanisms Via Convex Optimization,” Mech. Mach. Theory, 80, pp. 17–34. [CrossRef]
Zhou, W. , Chen, W. , Liu, H. , and Li, X. , 2015, “ A New Forward Kinematic Algorithm for a General Stewart Platform,” Mech. Mach. Theory, 87, pp. 177–190. [CrossRef]
Abedinnasab, M. H. , Farahmand, F. , Tarvirdizadeh, B. , Zohoor, H. , and Gallardo-Alvarado, J. , 2016, “ Kinematic Effects of Number of Legs in 6-DOF UPS Parallel Mechanisms,” Robotica (accepted).
Abedinnasab, M. H. , Yoon, Y.-J. , and Zohoor, H. , 2012, Exploiting Higher Kinematic Performance–Using a 4-Legged Redundant PM Rather Than Gough–Stewart Platforms, InTech, Rijeka, Croatia.
Abedinnasab, M. H. , and Vossoughi, G. R. , 2009, “ Analysis of a 6-DOF Redundantly Actuated 4-Legged Parallel Mechanism,” Nonlinear Dyn., 58(4), pp. 611–622. [CrossRef]
Aghababai, O. , 2005, “ Design, Kinematic and Dynamic Analysis and Optimization of a 6 DOF Redundantly Actuated Parallel Mechanism for Use in Haptic Systems,” M.Sc. thesis, Sharif University of Technology, Tehran, Iran.
Gao, X.-S. , Lei, D. , Liao, Q. , and Zhang, G.-F. , 2005, “ Generalized Stewart–Gough Platforms and Their Direct Kinematics,” IEEE Trans. Rob., 21(2), pp. 141–151. [CrossRef]
Faugère, J.-C. , and Lazard, D. , 1995, “ Combinatorial Classes of Parallel Manipulators,” Mech. Mach. Theory, 30(6), pp. 765–776. [CrossRef]
Wampler, C. W. , 1996, “ Forward Displacement Analysis of General Six-in-Parallel SPS (Stewart) Platform Manipulators Using Soma Coordinates,” Mech. Mach. Theory, 31(3), pp. 331–337. [CrossRef]
Gallardo-Alvarado, J. , 2014, “ A Simple Method to Solve the Forward Displacement Analysis of the General Six-Legged Parallel Manipulator,” Rob. Comput.-Integr. Manuf., 30(1), pp. 55–61. [CrossRef]
Zhao, Y. , Liu, J. , and Huang, Z. , 2011, “ A Force Analysis of a 3-RPS Parallel Mechanism by Using Screw Theory,” Robotica, 29(07), pp. 959–965. [CrossRef]
Gallardo-Alvarado, J. , Orozco-Mendoza, H. , and Rico-Martínez, J. M. , 2010, “ A Novel Five-Degrees-of-Freedom Decoupled Robot,” Robotica, 28(6), pp. 909–917. [CrossRef]
Gallardo-Alvarado, J. , Rico-Martínez, J. M. , and Alici, G. , 2006, “ Kinematics and Singularity Analyses of a 4-DOF Parallel Manipulator Using Screw Theory,” Mech. Mach. Theory, 41(9), pp. 1048–1061. [CrossRef]
Tsai, L.-W. , 1999, Robot Analysis: The Mechanics of Serial and Parallel Manipulators, Wiley, Hoboken, NJ.
Tsai, L.-W. , 1998, “ The Jacobian Analysis of a Parallel Manipulator Using Reciprocal Screws,” Advances in Robot Kinematics: Analysis and Control, J. Lenarcic and M. L. Husty , eds., Kluwer Academic, Dordrecht, The Netherlands.


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Fig. 1

(a) Schematics of the 6DOF three-legged wide-open mechanism. The legs of the mechanism are configured nonsymmetrically on semicircles on the base and moving platform, providing a frontally wide-open architecture. Each leg has two active joints (one rotary and one linear). (b) Kinematic variables of the ith leg are shown. θi is the active rotation, followed by the passive ψi rotation.

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Fig. 2

Time history of the prescribed harmonic movements, i.e., displacements and rotations, of the center of the moving platform, as well as prescribed harmonic forces and torques applied on the platform

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Fig. 3

Time history of the actuators forces and torques. The dynamic simulation is based on the inputs from Fig. 2.

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Fig. 4

Static input–output force transmission evaluation. Applied forces and torques on the moving platform are, respectively, set to 250 N and 3.2 N m. Based on Fig. 2, range of translational displacement of the center of the moving platform in x and y directions is ±5 cm; it is ±15 deg for three Euler rotations; and 0.15–0.35 m for z displacements. Darker circles correspond to larger translational and orientational displacements of the moving platform.

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Fig. 5

Architectures of the wide-open and Gough–Stewart mechanisms

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Fig. 6

Rotational workspaces of the wide-open and Gough–Stewart platforms. Cylindrical coordinates {r, θc, z} are used to represent the Euler angles {α1, α2, α3}, respectively.

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Fig. 7

Dexterous workspaces of the wide-open and Gough–Stewart platforms. At each point within the workspace, each of the Euler angles α1, α2, and α3 can be simultaneously rotated from −10 deg to +10 deg.

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Fig. 8

(a) Schematics of the detailed design of the robot. (b) The fully functional prototype of the wide-open robot. The experimental setup, including the optical stereoscopic vision system, is also shown in the figure. (c) Illustration of the robot for long-bone fracture reduction application. The robot has six degrees-of-freedom. It has a full-frontal open surface which provides a large operational field for the surgeon.

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Fig. 9

Control panel of the robot. The user can adjust the motion parameters from point 1 to point 2, including the time interval, translational and rotational step sizes, and so on. The robot is manipulated by pushing the plus or minus button for any of the six translational or rotational movements.

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Fig. 10

Experimental data in comparison with the predefined motions. Top: A circular trajectory in horizontal x–y plane. Bottom: A vertical trajectory in z direction.

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Fig. 11

Simulation of the fracture reduction on an experimental phantom. The reduction procedure was performed using the control panel shown in Fig. 9, starting from an unknown position.

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Fig. 12

High stiffness rubber bands which simulate the effects of muscular tissues are added to the system. The desired movements were accomplished with high precision, resulting in a complete fracture reduction.




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