Analytical viscoelastic modelling of whiplash using lumped-parameter approach
Source abstract
Abstract
A two-dimensional lumped-parameter simulation of the head and neck has been carried out to capture the dynamic whiplash response during rear-end collisions in the sagittal plane. Joint locations are positioned at the instantaneous axis of rotation locations to capture the realistic intervertebral motions of the cervical spine for the 50th percentile male. Rotational viscoelastic joints are defined at each joint using linear stiffness and damping parameters in a Voigt configuration. Lagrangian mechanics is used to derive the whiplash response for a given collision acceleration. An inverse analysis is used to determine the viscoelastic lumped-parameter values based on cadaver whiplash test results. The results of four models are presented, demonstrating the response and influence of stiffness and damping joint parameters for the following models: (1) uniform joint stiffness with no damping, (2) joint stiffness with no damping, (3) joint damping with no stiffness, and (4) joint stiffness and joint damping. The rigid-linkage viscoelastic joint stiffness and joint damping lumped-parameter model is seen to provide quick solution results and good overall results for the head and intervertebral response (peak head x-displacement, y-displacement and rotation within 10, 20 mm and 7.5°) compared with cadaver test results. This model can be easily scaled to accommodate anthropometric differences in occupant height, weight, gender, and posture for the desired collision dynamics. These properties make this rigid-linkage model well-suited for injury assessment and use in head-restraint optimization to minimize injury and improve neck biofidelity in anthropometric test dummies.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Automotive and Human Injury Biomechanics · Musculoskeletal pain and rehabilitation · Spine and Intervertebral Disc Pathology
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (37)
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1. Amevo, B., Worth, D., Bogduk, N.: Instantaneous axes of rotation of the typical cervical motion segments: a study in normal volunteers. Clin. Biomech. 6, 111–117 (1991)10.1016/0268-0033(91)90008-E ↗
2. Bertholon, N.: Modelisation 3D du cou humain en situation de chocs omnidirectionnels analyse cinematique et aspects lesionnels (1999)
3. Bertholon, N., Robin, S., Le Coz, J.-Y., Portier, P., Lassau, J.-P., Skalli, W.: Human head and cervical spine behaviour during low-speed rear-end impacts. PMHS sled tests with rigid seat. In: International Research Council on the Biomechanics of Injury (IRCOBI) (2000)
4. Blumenstein, R.: Baseball Catcher’s Mitt Helps to Inspire a Safer, Whiplash-Resistant Auto Seat. Wall Street Journal, New York (1995)
5. Book, A.S.: In: NASA Reference Publication 1024 (1978)
6. Boström, O., Svensson, M., Aldman, B., Hansson, H., Håland, Y., Lövsund, P., Seeman, T., Suneson, A., Säljö, A., Örtengren, T.: A new neck injury criterion candidate based on injury findings in the cervical spinal ganglia after experimental neck extension trauma. In: International IRCOBI conference on the biomechanics of impact, pp. 123–136, Dublin, Ireland (1996)
7. Breig, A.: Adverse Mechanical Tension in the Central Nervous System: An Analysis of Cause and Effect: Relief by Functional Neurosurgery. Almqvist & Wiksell International, Stockholm (1978)
8. Croft, A.: The new model of whiplash, part I. http://www.dynamicchiropractic.com/mpacms/dc/article.php?id=35026 (1999a). Accessed 15 March 2015
9. Croft, A.: The new model of whiplash, part II. http://www.dynamicchiropractic.com/mpacms/dc/article.php?id=35076 (1999b). Accessed 15 March 2015
10. De Jager, M.J.K.: Mathematical head-neck models for acceleration impacts. Technical University of Eindhoven (1996)
11. Ethier, C.R., Simmons, C.A.: Introductory Biomechanics: From Cells to Organisms. Cambridge Univ Press, Cambridge (2007)10.1017/CBO9780511809217 ↗
12. Evans, R.W.: Some observations on whiplash injuries. Neurol. Clin. 10(4), 975–997 (1992)
13. Grauer, J.N., Panjabi, M.M., Cholewicki, J., Nibu, K., Dvorak, J.: Whiplash produces an S-shaped curvature of the neck with hyperextension at lower levels. Spine 22(21), 2489 (1997)10.1097/00007632-199711010-00005 ↗
14. Gray, H.: Gray’s anatomy, revised American from the 15th English edition. In: Pick, T.P., Howden, R. (eds) New York-Avenel. Gramercy Books, New York (1977)
15. Himmetoglu, S., Acar, M., Taylor, A.J., Bouazza-Marouf, K.: A multi-body head and neck model for low speed rear impact analysis. Paper presented at the 12th IFToMM world congress, France, 18–21 June 2007
16. Hung, T.K., Lin, H.S., Bunegin, L., Albin, M.S.: Mechanical and neurological response of cat spinal cord under static loading. Surg. Neurol. 17(3), 213–217 (1982)10.1016/0090-3019(82)90284-1 ↗
17. Huston, R.L.: Multibody dynamics including translation between the bodies with application to head-neck systems. University of Cincinnati (1978)
18. Ivancic, P.C., Sha, D.: Comparison of the whiplash injury criteria. Accid. Anal. Prev. 42, 56–63 (2010)10.1016/j.aap.2009.07.001 ↗
19. Kaneoka, K., Ono, K., Inami, S., Hayashi, K.: Motion analysis of cervical vertebrae during whiplash loading. Spine 24(8), 763 (1999)10.1097/00007632-199904150-00006 ↗
20. Kumar, S., Ferrari, R., Narayan, Y.: Kinematic and electromyographic response to whiplash loading in low-velocity whiplash impacts—a review. Clin. Biomech. 20(4), 343–356 (2005)10.1016/j.clinbiomech.2004.11.016 ↗
21. Kumar, S., Narayan, Y., Amell, T.: An electromyographic study of low-velocity rear-end impacts. Spine 27, 1044–1055 (2002)10.1097/00007632-200205150-00009 ↗
22. Merrill, T., Goldsmith, W., Deng, Y.: Three-dimensional response of a lumped parameter head-neck model due to impact and impulsive loading. J. Biomech. 17(2), 81–95 (1984)10.1016/0021-9290(84)90126-X ↗
23. Ono, K., Kaneoka, K., Wittek, A., Kajzer, J.: Cervical injury mechanism based on the analysis of human cervical vertebral motion and head-neck-torso kinematics during low-speed rear impacts. Society of Automotive Engineers Inc. pp. 339–356 (1997)10.4271/973340 ↗
24. Panjabi, M.M., Ito, S., Ivancic, P.C., Rubin, W.: Evaluation of the intervertebral neck injury criterion using simulated rear impacts. J. Biomech. 38(8), 1694–1701 (2005)10.1016/j.jbiomech.2004.07.015 ↗
25. Panjabi, M.M., Pearson, A.M., Ito, S.: Cervical spine curvature during simulated whiplash. Clin. Biomech. 19, 1–9 (2004)10.1016/j.clinbiomech.2003.09.006 ↗
26. Penning, L.: Normal movements of the cervical spine. Am. J. Roentgenol. 130, 317–326 (1978)10.2214/ajr.130.2.317 ↗
27. Radanov, B.P., Sturzenegger, M., Di Stefano, G.: Long-term outcome after whiplash injury: a 2-year follow-up considering features of injury mechanism and somatic, radiologic, and psychosocial findings. Medicine 74(5), 281 (1995)10.1097/00005792-199509000-00005 ↗
28. Reber, J.G., Goldsmith, W.: Analysis of large head–neck motions. J. Biomech. 12(3), 211–222 (1979)10.1016/0021-9290(79)90144-1 ↗
29. Robbins, D.H.: Anthropometric specifications for mid-sized male dummy. In: UMTRI-83-53-2. University of Michigan Transportation Research Institute, vol. 2 (1983)
30. Siegmund, G.P., King, D.J., Lawrence, J.M., Wheeler, J.B., Brault, J.R., Smith, T.A.: Head/neck kinematic response of human subjects in low-speed, rear-end collisions. Society of Automotive Engineers. pp. 357–386 (1997)10.4271/973341 ↗
31. Stemper, B.D., Yoganandan, N., Pintar, F.A.: Gender dependent cervical spine segmental kinematics during whiplash. J. Biomech. 36, 1281–1289 (2003)10.1016/S0021-9290(03)00159-3 ↗
32. Sterner, Y., Gerdle, B.: Acute and chronic whiplash disorders—a review. J. Rehabil. Med. 36(5), 193 (2004)10.1080/16501970410030742 ↗
33. Van den Kroonenberg, A.J., Thunnissen, J., Wismans, J.: A human model for low-severity rear-impacts. In: International Research Council on Biomechanics of Impact (IRCOBI), Hannover, pp. 117–132 (1997)
34. Van Lopik, D.W., Acar, M.: A computational model of the human head and neck system for the analysis of whiplash motion. Int. J. Crashworthiness 9(5), 465–473 (2010)10.1533/ijcr.2004.0302 ↗
35. Vasavada, A.N., Danaraj, J., Siegmund, G.P.: Head and neck anthropometry, vertebral geometry and neck strength in height-matched men and women. J. Biomech. 41(1), 114–121 (2008)10.1016/j.jbiomech.2007.07.007 ↗
36. Viano, D.C.: Role of the seat in rear crash safety. Society of Automotive Engineers, Warrendale (2003)10.4271/R-317 ↗
37. White, A.A., Panjabi, M.M.: Clinical biomechanics of the spine, vol. 446. Lippincott (1990)