Abstract
Vibrations can have a range of pathological effects on the human spine, such as lower-back pain. Such effects are commonly observed in tractor drivers, earthmoving machinery (Excavators, Backhoes and Bulldozers etc.) and buses, as well as in the general public who drive for prolonged time. To date, majorly experimental studies have been conducted to understand the negative vibrational effects on the spine, especially in the lumber section. However, there is insufficient knowledge about vibrational characteristics that may severely effect to the various spinal segments. In this work, a novel finite element model was created to study the vibrational effects on the spine's lumbar, thoracic, and cervical sections. Each spinal section was considered with various vertebrae and discs, sand both homogenous and composite-based material models were tested. The system equations were employed to solve the eigenvalue problem and quantify the natural frequencies for different spinal sections with both material models. The developed FE model was validated by comparing the results for the lumber section with the literature. The natural frequencies were estimated for the different spinal sections for the first time, which, if matched by any external vibration, may cause resonance and harm the spine, including lower back pain and fracture. The findings would be valuable for the global spine community and manufacturers of automobiles, railways, airplanes, and spacecraft.
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References
J. Sandover, Behaviour of the spine under shock and vibration: a review. Clin. Biomech. 3(4), 249–256 (1988). https://doi.org/10.1016/0268-0033(88)90045-9
M.J. Griffin, J. Erdreich, Handbook of human vibration. J. Acoust. Soc. Am. 90(4), 2213 (1991). https://doi.org/10.1121/1.401606
T.E. Hill, G.T. Desmoulin, C.J. Hunter, Is vibration truly an injurious stimulus in the human spine? J. Biomech. 42(16), 2631–2635 (2009). https://doi.org/10.1016/j.jbiomech.2009.10.001
Q.D. Wang, L.X. Guo, Biomechanical role of nucleotomy in vibration characteristics of human spine. Int. J. Precis. Eng. Manuf. 22(7), 1323–1334 (2021). https://doi.org/10.1007/s12541-021-00519-9
D.G. Wilder, B.B. Woodworth, J.W. Frymoyer, M.H. Pope, Vibration and the human spine. Spine (Phila Pa 1976) 7(3), 243–254 (1982). https://doi.org/10.1097/00007632-198205000-00008
D.G. Wilder, M.H. Pope, Epidemiological and aetiological aspects of low back pain in vibration environments—an update. Clin. Biomech. 11(2), 61–73 (1996). https://doi.org/10.1016/0268-0033(95)00039-9
Y. Matsumoto, M.J. Griffin, Dynamic response of the standing human body exposed to vertical vibration: influence of posture and vibration magnitude. J. Sound Vib. 212, 85–107 (1998). https://doi.org/10.1006/jsvi.1997.1376
M. Verver, J. van Hoof, C.W. Oomens, N. van de Wouw, J.S.H. Wismans, Estimation of spinal loading in vertical vibrations by numerical simulation. Clin. Biomech. 18(9), 800–811 (2003). https://doi.org/10.1016/S0268-0033(03)00145-1
D.Z.M. Ramirez, S. Strike, R. Lee, Vibration transmission of the spine during walking is different between the lumbar and thoracic regions in older adults. Age Ageing 46(6), 982–987 (2017). https://doi.org/10.1093/ageing/afx041
W.Z. Kong, V.K. Goel, Ability of the finite element models to predict response of the human spine to sinusoidal vertical vibration. Spine (Phila Pa 1976) 28(17), 1961–1967 (2003)
G. Lx, T. Ec, L. Kk, Z. Qh, Vibration characteristics of the human spine under axial cyclic loads: effect of frequency and damping. Spine (Phila Pa 1976) 30(5), 631–637 (2005)
P.P. Valentini, Modeling human spine using dynamic spline approach for vibrational simulation. J. Sound Vib. 331(26), 5895–5909 (2012). https://doi.org/10.1016/j.jsv.2012.07.039
P.P. Valentini, E. Pennestrì, An improved three-dimensional multibody model of the human spine for vibrational investigations. Multibody Syst. Dyn. 36(4), 363–375 (2016). https://doi.org/10.1007/s11044-015-9475-6
S. Amiri, S. Naserkhaki, M. Parnianpour, Effect of whole-body vibration and sitting configurations on lumbar spinal loads of vehicle occupants. Comput. Biol. Med. 107, 292–301 (2019). https://doi.org/10.1016/j.compbiomed.2019.02.019
L.X. Guo, E.C. Teo, Influence prediction of injury and vibration on adjacent components of spine using finite element methods. J. Spinal Disord. Tech. 19(2), 118–124 (2006). https://doi.org/10.1097/01.BSD.0000191527.96464.9C
L.X. Guo, Y.M. Zhang, M. Zhang, Finite element modeling and modal analysis of the human spine vibration configuration. IEEE Trans. Biomed. Eng. 58(10 PART 2), 2987–2990 (2011). https://doi.org/10.1109/TBME.2011.2160061
C.M. Comer, D. White, P.G. Conaghan, H.A. Bird, A.C. Redmond, Effects of walking with a shopping trolley on spinal posture and loading in subjects with neurogenic claudication. Arch. Phys. Med. Rehabil. 91(10), 1602–1607 (2010). https://doi.org/10.1016/j.apmr.2010.07.006
Y.P. Huang et al., Gait adaptations in low back pain patients with lumbar disc herniation: trunk coordination and arm swing. Eur. Spine J. 20(3), 491–499 (2011). https://doi.org/10.1007/s00586-010-1639-8
S. Schmid, M. Stauffer, J. Jäger, R. List, S. Lorenzetti, Sling-based infant carrying affects lumbar and thoracic spine neuromechanics during standing and walking. Gait Posture 67, 172–180 (2019). https://doi.org/10.1016/j.gaitpost.2018.10.013
R.C. Dong, Q.J. Guo, W. Yuan, W. Du, X.H. Yang, Y.J. Zhao, The finite element model of seated whole human body for vibration investigations of lumbar spine in complex system. IEEE Access 8, 125046–125055 (2020). https://doi.org/10.1109/ACCESS.2020.3007940
Y.H. Kim, B. Khuyagbaatar, K. Kim, Recent advances in finite element modeling of the human cervical spine. J. Mech. Sci. Technol. 32(1), 1–10 (2018). https://doi.org/10.1007/s12206-017-1201-2
R.S. Bridger, Introduction to Ergonomics, International. (CRC Press, 2008)
G. Singh, A. Chanda, Mechanical properties of whole-body soft human tissues: a review. Biomed. Mater. 16(6), 062004 (2021). https://doi.org/10.1088/1748-605X/AC2B7A
R. Davis, R.D. Henshell, G.B. Warburton, A Timoshenko beam element. J. Sound Vib. 22(4), 475–487 (1972). https://doi.org/10.1016/0022-460X(72)90457-9
M. Petyt, Introduction to Finite Element Vibration Analysis (Cambridge University Press, 2010)
T. Pitzen et al., A finite element model for predicting the biomechanical behaviour of the human lumbar spine. Control. Eng. Pract. 10(1), 83–90 (2002). https://doi.org/10.1016/S0967-0661(01)00129-0
T.X. Qiu, E.C. Teo, Finite element modeling of human thoracic spine. J. Musculoskelet. Res. 8(4), 133–144 (2004). https://doi.org/10.1142/S0218957704001302
B. Wang, W. Ke, W. Hua, X. Zeng, C. Yang, Biomechanical evaluation and the assisted 3D printed model in the patient-specific preoperative planning for thoracic spinal tuberculosis: a finite element analysis. Front. Bioeng. Biotechnol. 8, 1–12 (2020). https://doi.org/10.3389/fbioe.2020.00807
S. Yang et al., Finite element analysis of spinal cord stress in a single segment cervical spondylotic myelopathy. Front. Surg. 9, 1–7 (2022). https://doi.org/10.3389/fsurg.2022.849096
H. Asgharzadeh Shirazi, M. Fakher, A. Asnafi, S. Hosseini Hashemi, A new method to study free transverse vibration of the human lumbar spine as segmental multi-layer Timoshenko and Euler-Bernoulli beams. Int. J. Mech. Mater. Eng. (2018). https://doi.org/10.1186/s40712-018-0093-y
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Verma, S., Singh, G. & Chanda, A. Development of a Computational Framework for Determination of Detrimental Vibrations on the Human Spine Segments. Multiscale Sci. Eng. (2024). https://doi.org/10.1007/s42493-024-00109-7
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DOI: https://doi.org/10.1007/s42493-024-00109-7