Mathematical Modeling and Analysis of Vibration Reduction of a Simulated Femoral Shaft using Robotic Assisted Damping Drilling System

Volume 11, Issue 1, February 2026     |     PP. 8-23      |     PDF (3747 K)    |     Pub. Date: March 11, 2026
DOI: 10.54647/dee470576    18 Downloads     265 Views  

Author(s)

Orelaja Oluseyi.A, School Department of Mechanical Engineering, Moshood Abiola Polytechnic, Abeokuta, Nigeria
Odunlami Samson.A, School Department of Mechanical Engineering, Fededral Polytechnic Ilaro, Ogun State, Nigeria
Xingsong Wang, School Department of Electro-Mechanical Engineering, Southeast University, Nanjing, China
Adeleke M.B, School Department of Mechanical Engineering, Moshood Abiola Polytechnic, Abeokuta, Nigeria

Abstract
Femoral shaft fracture is one of the prominent high impact energy injuries of the lower extremity. One of the common techniques to cut hard tissues in orthopedics, neurosurgery, and others is drilling. Robot assisted femoral shaft drilling and fracture reduction systems have been designed and their applications in the theatre room are vast, but still have some demerits. The use of robots in the theatre room for drilling and cutting hard tissues are so enormous due its flexibility and high precision Although, vibration drilling is also a method of adding axial vibration to the drill bit, but the objective research work is to focus on the modeling and analysis of possible damage caused by high cutting force and vibration with an effort to reduce the drilling force and the consequence of vibration on bone micro-structure during repositioning and drilling. This experiment encompasses the use of integrated vibration reduction system includes ‘8 sets of visco-elastic air balloon damper’, 6DOF Hans Robot, flexible bracket, contact vibration sensor, force sensor, the jig frame, the drill, air-pump, proportional air controller (PAC), air control lines, drill, speed controller, voltage amplifier and Monitor (Laptop).

Keywords
Drilling, Vibration, Reduction, Force, Muscle, Femur, Analysis, Signal Processing

Cite this paper
Orelaja Oluseyi.A, Odunlami Samson.A, Xingsong Wang, Adeleke M.B, Mathematical Modeling and Analysis of Vibration Reduction of a Simulated Femoral Shaft using Robotic Assisted Damping Drilling System , SCIREA Journal of Electrical Engineering. Volume 11, Issue 1, February 2026 | PP. 8-23. 10.54647/dee470576

References

[ 1 ] Zhu Q, Liang B, Wang X, Sun X, Wang L. Minimally invasive treatment of displaced femoral shaft fractures with a teleoperated robot-assisted surgical system. J Injury, 2017. 48(10): p. 2253-2259. doi: 10.1016/j.injury.2017.07.014.
[ 2 ] Sohn HS, Jeon YS, Lee J, Shin SJ. Clinical comparison between open plating and minimally invasive plate osteosynthesis for displaced proximal humeral fractures: A prospective randomized controlled trial. J Injury, 2017. 48(6): p. 1175-1182. doi: 10.1016/j.injury.2017.03.027.
[ 3 ] Cleather DJ, Godwin JE, Bull AM. Hip and Knee joint loading during vertical jumping and push jerking. J. Clin.Biomech (Bristol, Avon), 203. 28(1): p.98-103. doi:1016/j.clinbiomech.2012.10.006.
[ 4 ] Oszwald M, Westphal R, Loughlin PF, Kendoff D, Hufner T, Wahl F, Krettek C, Gosling T. A rat model for evaluating physiological responses to femoral shaft fracture reduction using a surgical robot. J Orthopaedic Research, 2008. 26(12):p.1656-9. doi: 10.1002/jor.20698.
[ 5 ] Chen W, Jing Y, Lv H, Wang J, Hou Z, Zhang Y. Displaced femoral shaft fractures treated by antegrade nailing with the assistance of an intramedullary reduction device. Inter. J Orthopaedics, 2015. 40(8): p. 1735-1739. doi:10.1007/s00264-015-3036-8.
[ 6 ] Bertelsen A, Melo J, Sanchez E, Borro D. A review of surgical robots for spinal interventions. Int J Med. Robotics and Computer Assisted Surgery 2012. 9(4): p. 407-22. doi:10.1002/rcs.1469.
[ 7 ] Shweikeh F, Amadio JP, Arnell M, Barnard T, Zachary R, Kim J, Johnson P, Drazin D. Robotics and the spine: a review of current and ongoing applications. J Neurosurgical Focus, 2014. 36(3), E10. doi: 10.3171/2014.1.focus13526.
[ 8 ] Ma K, Wang X, Shen D. Design and Experiment of Robotic Belt Grinding System with Constant Grinding Force. Inter. Conf. on Mechatronics and Machine Vision in Practice, 2018. (M2VIP): p. 1-6. doi: 10.1109/m2vip.2018.8600899.
[ 9 ] Adamkowski, A., Henke, A., & Lewandowski, M. , Resonance of torsional vibrations of centrifugal pump shafts due to cavitation erosion of pump impellers. J Engineering Failure Analysis, 2016. 70: p. 56-72. doi: 10.1018/j.engfailanal.2016.07.011.
[ 10 ] Sun H, Yuan S, Luo Y. Cyclic Spectral Analysis of Vibration Signals for Centrifugal Pump Fault Characterization. IEEE Sensors Journal, 2018.18(7):p.2925-2933. doi:10.1109/jsen.2018.2804908.
[ 11 ] Wang Y, Cao M, Zhao Y, Zhou G, Liu W, Li D. Experimental Investigations on Microcracks in Vibrational and Conventional Drilling of Cortical Bone. J Nanomaterials, 2013. p.1-5. doi:10.1155/2013/845205.
[ 12 ] Alizad, A., Walch, M. J., Greenleaf, F., and Fatemi, M., Vibrational characteristics of bone fracture and fracture repair: application to excised rat femur. J Biomech Eng, 2006. 128(3): p. 300-8. doi:10.1115/1.2187037.
[ 13 ] Zhu, Q., Liang, B., Wang, X., Sun, X., Wang, L., Force-torque intraoperative measurements for femoral shaft fracture reduction. Computer Assisted Surgery, 2016. 21: p. 37-45. doi: 10.1080/24699322.2016.1240311.
[ 14 ] Dai Y, Zhang J, Xue Y. Use of wavelet energy for spinal cord vibration analysis during spinal surgery. The Inter J of medical robotics and Computer Assisted surgery, 2012. 9(4): 433-440. doi: 10.1002/rcs.1477.
[ 15 ] Coulson, C, Taylor R, Griffiths M, Proops , D, and Brett P. An autonomous surgical robot for drilling a cochleostomy?porcine trial. J Clinical Otolaryngology and Allied Sciences, 2006. 31: p. 580-580. doi: 10.1111/j.1365-2273.2006.01341_6.x.
[ 16 ] Lee Y, Park S, Yoon S, Kong Y, Goh J. Pedestrian accident analysis with a silicone dummy block. Inter J Forensic Science, 2012. 220: p. e13-16. doi: 10.1016/j.forsciint.2012.03.001.
[ 17 ] Roukema J and Altintas Y. Generalized modeling of drilling vibrations. Part I: Time domain model of drilling kinematics, dynamics and hole formation. International Journal of Machine Tools and Manufacture, 2007.47:p.1455-1473. doi: 10.1016/j.ijmachtools.2006.10.005.
[ 18 ] Lee S.J., Liong K, Tse KM, and Lee H.P. Biomechanics of the deformity of septal L-Struts. Laryngoscope, 2010. 120(8): p. 1508-15. doi: 10.1002/lary.20976.
[ 19 ] Burr D.B, Turner C.H, Naick P, Forwood M.R, Ambrosius W, Sayeed Hasan M, and Pidaparti R. Does Microdamage Accumulation affect the Mechanical Properties of Bone? J Biomech, 1998. 31(4): p. 337-45.doi: 10.1016/s0021-9290[1]00016-5.
[ 20 ] Langer J, Gardner M, Ricci W. The Cortical Step Sign as a Tool for Assessing and Correcting Rotational Deformity in Femoral Shaft Fractures. J Orthopaedic Trauma, 2010. 24: p. 82-8. doi: 10.1097/bot.0b013e3181b66f96.
[ 21 ] Fang C, Gibson W, Lau T.M, Fang B, Wong T.M, and Leung F, Important tips and numbers on using the cortical step and diameter difference sign in assessing femoral rotation– Should we abandon the technique?.J.Injury, 2015.46(7).doi: 10.1016/j.injury.2015.04.009.
[ 22 ] Füchtmeier B., Egersdoerfer S., Mai R., Hente R., Dragoi D., Monkman G., Nerlich M, Reduction of femoral shaft fractures in vitro by a new developed reduction robot system 'RepoRobo'. J Injury, 2004. 35(1): p. 113-119. doi: 10.1016/j.injury.2004.05.019.