ARTICLES

A cortical bone milling force model based on orthogonal cutting distribution method

  • Qi-Sen Chen ,
  • Li Dai ,
  • Yu Liu ,
  • Qiu-Xiang Shi
Expand
  • School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, People's Republic of China

Received date: 2019-06-08

  Revised date: 2019-12-30

  Online published: 2020-06-08

Supported by

This research was supported by the National Natural Science Foundation of China (Grant Nos. 51875094 and 51775085) and the Fundamental Research Funds for the Central Universities of China (Grant Nos. N170304020 and 2020GFYD023).

Abstract

In orthopedic surgery, the bone milling force has attracted attention owing to its significant influence on bone cracks and the breaking of tools. It is necessary to build a milling force model to improve the process of bone milling. This paper proposes a cortical bone milling force model based on the orthogonal cutting distribution method (OCDM), explaining the effect of anisotropic bone materials on milling force. According to the model, the bone milling force could be represented by the equivalent effect of a transient cutting force in a rotating period, and the transient milling force could be calculated by the transient milling force coefficients, cutting thickness, and cutting width. Based on the OCDM, the change in transient cutting force coefficients during slotting can be described by using a quadratic polynomial. Subsequently, the force model is updated for robotic bone milling, considering the low stiffness of the robot arm. Next, an experimental platform for robotic bone milling is built to simulate the milling process in clinical operation, and the machining signal is employed to calculate the milling force. Finally, according to the experimental result, the rationality of the force model is verified by the contrast between the measured and predicted forces. The milling force model can satisfy the accuracy requirement for predicting the milling force in the different processing directions, and it could promote the development of force control in orthopedic surgery.

The full text can be downloaded at https://link.springer.com/article/10.1007/s40436-020-00300-7

Cite this article

Qi-Sen Chen , Li Dai , Yu Liu , Qiu-Xiang Shi . A cortical bone milling force model based on orthogonal cutting distribution method[J]. Advances in Manufacturing, 2020 , 8(2) : 204 -215 . DOI: 10.1007/s40436-020-00300-7

References

1. Jacobs CH, Pope MH, Berry JT et al (1974) A study of the bone machining process-orthogonal cutting. J Biomech 7(2):131-136
2. Jacob CH, Berry JT, Pope MH et al (1976) A study of the bone machining process-drilling. J Biomech 9(5):343-349
3. Sui J, Sugita N, Ishii K et al (2013) Force analysis of orthogonal cutting of bovine cortical bone. Mach Sci Technol 17(4):637-649
4. Ong FR, Bouazza-Marouf K (1999) The detection of drill bit break-through for the enhancement of safety in mechatronic assisted orthopaedic drilling. Mechatronics 9(6):565-588
5. Sugita N, Osa T, Aoki R et al (2009) A new cutting method for bone based on its crack propagation characteristics. CIRP Ann 58(1):113-118
6. Yao Q, Luo M, Zhang D et al (2018) Identification of cutting force coefficients in machining process considering cutter vibration. Mech Syst Signal Process 103:39-59
7. Saito A, Takahashi M, Miyano Y et al (2014) Influence of the cutting condition on cutting performance with twisted fixed abrasive diamond saw wire (ADW). Int J Soc Mater Eng Resour 20(2):181-185
8. Liao Z, Axinte DA, Gao D (2017) A novel cutting tool design to avoid surface damage in bone machining. Int J Mach Tools Manuf 116:52-59
9. Feldmann A, Ganser P, Nolte L (2017) Orthogonal cutting of cortical bone:temperature elevation and fracture toughness. Int J Mach Tools Manuf 118:1-11
10. Santiuste C, Rodríguez-Millán M, Giner E et al (2014) The influence of anisotropy in numerical modeling of orthogonal cutting of cortical bone. Compos Struct 116:423-431
11. Wiggins KL, Malkin S (1978) Orthogonal machining of bone. J Biomech Eng 100(3):122-130
12. Sugita N, Mitsuishi M (2009) Specifications for machining the bovine cortical bone in relation to its microstructure. J Biomech 42(16):2826-2829
13. Alam K, Mitrofanov AV, Silberschmidt VV (2009) Finite element analysis of forces of plane cutting of cortical bone. Comput Mater Sci 46(3):738-743
14. Takabi B, Tai BL (2017) A review of cutting mechanics and modeling techniques for biological materials. Med Eng Phys 45:1-14
15. Lee JE, Gozen BA, Ozdoganlar OB (2012) Modeling and experimentation of bone drilling forces. J Biomech 45(6):1076-1083
16. Sui J, Sugita N, Ishii K et al (2014) Mechanistic modeling of bone-drilling process with experimental validation. J Mater Process Technol 214(4):1018-1026
17. Lughmani WA, Bouazza-Marouf K, Ashcroft I (2015) Drilling in cortical bone:a finite element model and experimental investigations. J Mech Behav Biomed Mater 42:32-42
18. Arbabtafti M, Moghaddam M, Nahvi A et al (2011) Physicsbased Haptic simulation of bone machining. IEEE Trans Haptics 4(1):39-50
19. Al-Abdullah KIA, Abdi H, Lim CP et al (2018) Force and temperature modelling of bone milling using artificial neural networks. Measurement 116:25-37
20. Liao Z, Axinte D, Gao D (2019) On modelling of cutting force and temperature in bone milling. J Mater Process Technol 266:627-638
21. Mamedov A, Lazoglu I (2015) Micro ball-end milling of freeform titanium parts. Adv Manuf 3(4):263-268
22. Conward M, Samuel J (2016) Machining characteristics of the haversian and plexiform components of bovine cortical bone. J Mech Behav Biomed Mater 60:525-534
23. Yeager C, Nazari A, Arola D (2008) Machining of cortical bone:surface texture, surface integrity and cutting forces. Mach Sci Technol 12(1):100-118
24. Liao Z, Axinte DA (2016) On monitoring chip formation, penetration depth and cutting malfunctions in bone micro-drilling via acoustic emission. J Mater Process Technol 229:82-93
25. Griesmann U (2012) Microscopy of bone and step-by-step sample preparation. Micscape. http://www.microscopy-uk.org.uk/mag/artmay12/ug-Bone.html. Accessed 15 Oct 2018
26. Liao Z, Axinte DA (2016) On chip formation mechanism in orthogonal cutting of bone. Int J Mach Tools Manuf 102:41-55
27. Liu Y, Wang Z, Liu K et al (2017) Chatter stability prediction in milling using time-varying uncertainties. Int J Adv Manuf Technol 89(9/12):2627-2636
28. Kumanchik LM, Schmitz TL (2007) Improved analytical chip thickness model for milling. Precis Eng 31(3):317-324
29. Han X, Tang L (2015) Precise prediction of forces in milling circular corners. Int J Mach Tools Manuf 88:184-193
30. Kavina YB, Kochekali H, Whitaker RA (1987) An analytical and modular approach to robotic force control using a wrist-based force sensor. In:McGoldrick PF (ed) Advances in manufacturing technology II:proceedings of the third national conference on production research. Springer, Boston, pp 175-179
31. Cordes M, Hintze W, Altintas Y (2019) Chatter stability in robotic milling. Robot Comput Integr Manuf 55:11-18
32. Alam K, Mitrofanov AV, Silberschmidt VV (2011) Experimental investigations of forces and torque in conventional and ultrasonically-assisted drilling of cortical bone. Med Eng Phys 33(2):234-239
33. Luczynski KW, Steiger-Thirsfeld A, Bernardi J et al (2015) Extracellular bone matrix exhibits hardening elastoplasticity and more than double cortical strength:Evidence from homogeneous compression of non-tapered single micron-sized pillars welded to a rigid substrate. J Mech Behav Biomed Mater 52:51-62
34. Walden SJ, Evans SL, Mulville J (2017) Changes in Vickers hardness during the decomposition of bone:Possibilities for forensic anthropology. J Mech Behav Biomed Mater 65:672-678
Outlines

/