Robotic-assisted bone reduction surgery consists in using robots to reconnect patients’ bone fragments prior to fracture healing. The goal of this study is to propose a novel augmented 3-RPSP tripod mechanism with six degree of freedom for longitudinal bone reduction surgery. Its inverse kinematic model is studied and its forward kinematic model is solved by establishing the constraint equations, applying Sylvester’s dialytic method and finding the solutions of the resulting polynomial equation. The velocity model is calculated and its Jacobian matrix is used to identify its singular configurations. In comparison to the Stewart–Gough platform that is a typical mechanism used in this application, the proposed mechanism offers larger reachable workspace which is an important aspect in the femoral shaft bone reduction. A Physiguide and Msc Adams software are used to carry out a simulation of a real femur fracture reduction using the proposed mechanism to validate its suitability. A robotic prototype has been designed and manufactured in order to test its capability of performing diaphyseal femur reduction surgery.
BowmanENMehlmanCTLindsellCJ, et al.Non-operative treatment of both-bone forearm shaft fractures in children: predictors of early radiographic failure. J Pediatr Orthop2011; 31(1): 23–32.
2.
ArnesonTLMeltonLJLewallenDG, et al.Epidemiology of diaphyseal and distal femoral fractures in Rochester, Minnesota, 1965-1984. Clin Orthop Relat Res1998; 234: 188–194.
3.
ZlowodzkiMBhandariMMarekDJ, et al.Operative treatment of acute distal femur fractures: systematic review of 2 comparative studies and 45 case series (1989 to 2005). J Orthop Trauma2006; 20(5): 366–371.
4.
ZhangYZ. Minimally invasive reduction and fixation in orthopedic Trauma. Chin Med J2016; 129(21): 2521–2523.
5.
XieLWuWJLiangY. Comparison between minimally invasive transforaminal lumbar interbody fusion and conventional open transforaminal lumbar interbody fusion: an updated meta-analysis 2016. Chin Med J; 129(16): 1969–1986.
6.
SeideKWolterDKortmannHR. Fracture reduction and deformity correction with the hexapod Ilizarov fixator. Clin Orthop Relat Res1999; 363: 186–195.
7.
SeideKFaschingbauerMWenzlME, et al.A hexapod robot external fixator for computer assisted fracture reduction and deformity correction. Int J Med Robotics Comput Assist Surg2004; 1(1): 64–69.
8.
MajidifakhrKKazemiradSFarahmandF. Robotic assisted reduction of femoral shaft fractures using Stewart Platform. Stud Health Technol Inform2009; 142: 177–179.
9.
TangPHuLDuH, et al.Novel 3D hexapod computer-assisted orthopaedic surgery system for closed diaphyseal fracture reduction. Int J Med Robotics Comput Assist Surg2012; 8(1): 17–24.
10.
MohammadHAGallardo-AlvaradoJFarahmandF. A wide-open 3-legged parallel robot for long bone fracture reduction. J Mech Robotics2017; 9(1): 015001.
11.
Nguyen PhuSEssombaTIdramI, et al.Kinematic analysis and evaluation of a hybrid mechanism for computer assisted bone reduction surgery. Mech Sci2019; 10(2): 589–604.
12.
FüchtmeierBEgersdoerferSMaiR, et al.Reduction of femoral shaft fractures in vitro by a new developed reduction robot system ‘RepoRobo’. Int J Care Injured2004; 35: 113–119.
13.
WestphalRGöslingTOszwaldM, et al.Robot assisted fracture reduction. Exp Robotics2008; 39: 153–163.
14.
GoslingTWestphalRHufnerT, et al.Robot-assisted fracture reduction: a preliminary study in the femur shaft. Med Biol Eng Comput2005; 43: 115–120.
15.
OszwaldMWestphalRBredowJ, et al.Robot-assisted fracture reduction using three-dimensional intraoperative fracture visualization: an experimental study on Human Cadaver Femora. J Orthop Res2010; 28(9): 1240–1244.
16.
OszwaldMRuanJWestphalR, et al.A rat model for evaluating physiological responses to femoral shaft fracture reduction using a surgical robot. J Orthop Res2008; 26(12): 1656–1659.
17.
WestphalRWinkelbachSWahF, et al.Robot-assisted long bone fracture reduction. Int J Robotics Res2009; 28(10): 1259–1278.
18.
KimYHNozomuIChaoEYS. Kinematic simulation of fracture reduction and bone deformity correction under unilateral external fixation. J Biomech2002; 35: 1047–1058.
19.
KooTKKChaoEYSMakAFT. Development and validation of a new approach for computer-aided long bone fracture reduction using unilateral external fixator. J Biomech2006; 39: 2104–2112.
20.
KooTKKMakAFT. A knowledge-based computer-aided system for closed diaphyseal fracture reduction. Clin Biomech2007; 22: 884–893.
21.
HungSSLeeMY. Functional assessment of a surgical robot for reduction of lower limb fractures. Int J Med Robotics Comput Assist Surg2010; 6: 413–421.
22.
WangJHanWLinH. Femoral fracture reduction with a parallel manipulator robot on a traction table. Int J Med Robotics Comput Assist Surg2013; 9: 464–471.
23.
DuHHuLLiC, et al.Advancing computer-assisted orthopaedic surgery using a hexapod device for closed diaphyseal fracture reduction. Int J Med Robotics Comput Assist Surg2015; 11: 348–359.
CarreteroJAPodhorodeskiRPNahonMA, et al.Kinematic analysis and optimization of a new three degree-of-freedom spatial parallel manipulator. J Mechanism Design2000; 122(1): 17–24.
26.
XieFLiuXJWangJ. A 3-DOF parallel manufacturing module and its kinematic optimization. Robotics Comput Integr Manuf2012; 28: 334–343.
27.
LiBLiYZhaoX. Kinematics analysis of a novel over-constrained three degree-of-freedom spatial parallel manipulator. Mechanism Machine Theory2016; 104: 222–233.
28.
ZhangDXuYYaJ, et al.Design of a novel 5-DOF hybrid serial-parallel manipulator and theoretical analysis of its parallel part. Robotics Comput Integr Manuf2019; 53: 228–239.
29.
BejiLPascalM. The kinematics and the full minimal dynamic model of a 6-DOF parallel robot manipulator. Nonlinear Dyn1999; 18: 339–356.
30.
BehiF. Kinematic analysis for a six-degree-of-freedom 3-PRPS parallel mechanism. IEEE J Robotics Automation1988; 4(5): 561–565.
31.
ShimJHKwonDSChoHS. Kinematic analysis and design of a six D.O.F. 3-PRPS in-parallel manipulator. Robotica1999; 17: 269–281.
32.
TahmasebiFTsaiLW. On the stiffness of a novel six-degree-of-freedom parallel minimanipulator. J Robotics Syst1995; 12(12): 845–856.
33.
KimJParkFCRyuSJ, et al.Design and analysis of a redundantly actuated parallel mechanism for rapid machining. IEEE Trans Robotics Automation2001; 17(4): 423–424.
34.
LuYLiaXP. Dynamics analysis for a novel 6-DoF parallel manipulator I with three planar limbs. Adv Robotics2014; 28(16): 1121–1132.
35.
AzulayHMahmoodinMZhaoR, et al.Comparative analysis of a new 3-PPRS parallel kinematic mechanism. Robotics Comput Integr Manuf2014; 30: 369–378.
36.
NagAMohanSBandyopadhyayS. Forward kinematic analysis of the 3-RPRS parallel manipulator. Mechanism Machine Theory2017; 116: 262–272.
37.
MohanSCorvesB. Inverse dynamics and trajectory tracking control of a new six degrees of freedom spatial 3-RPRS parallel manipulator. Mech Sci2017; 8: 235–248.
38.
NguyenAVBouzgarrouBCCharletK, et al.Static and dynamic characterization of the 6-Dofs parallel robot 3CRS. Mechanism Machine Theory2015; 93: 65–82.
39.
LiWAngelesJ. A novel three-loop parallel robot with full mobility: kinematics, singularity, workspace and dexterity Analysis. J Mech Robotics2017; 9(5): 051003.
40.
MonsarratBGosselinCM. Workspace analysis and optimal design of a 3-Leg 6-DOF parallel platform mechanism. IEEE Trans Robotics Automation1989; 19(6): 954–966.
41.
RezaeiAAkbarzadehA. Position, Jacobean and workspace analysis of a 3-PSP spatial parallel manipulator. Robotics Comput Integr Manuf2013; 29: 158–173.
42.
EpsteeS. Analog of sylvester’s dialytic method of elimination. Am Math Monthly1903; 10(3): 63–64.
43.
MasoryOWangJ. Workspace evaluation of Stewart platforms. Adv Robotics1994; 9(4): 443–461.
44.
TsaiKYLinJC. Determining the compatible orientation workspace of Stewart – Gough parallel manipulators. Mechanism Machine Theory2006; 41: 1168–1184.
45.
GuoWLiRCaoC, et al.Kinematics, dynamics, and control system of a new 5-degree-of-freedom hybrid robot manipulator. Adv Mech Eng2016; 8(11): 1–19.
46.
WuGCaroSBaiS, et al.Dynamic modeling and design optimization of a 3-DOF spherical parallel manipulator. Robotics Autonomous Syst2014; 62: 1377–1386.
47.
LeePYLaiJYHuangCY, et al.Computer assisted fracture reduction and fixation simulation for pelvic fractures. J Med Biol Eng2014; 34(4): 368–376.
