Journal of the Korean Society for Precision Engineering (한국정밀공학회지)

Korean Society for Precision Engineering (한국정밀공학회)
권호 표지

Application of Stiffness Matrix Element for Finite Element Analysis of Spine

척추의 유한 요소 해석을 위한 강성 행렬 요소의 적용

  • 정일섭 (영남대학교 기계공학부) ;
  • 안면환 (영남대학교 의과대학 정형외과)
  • Published : 2003.10.01
Download PDF
⟨ Previous Next ⟩

Abstract

Difficulties in the finite element modeling of human spine are evaded by using a stiffness matrix element whose properties can be characterized from experimentally measured stiffness of functional spinal units. Relative easiness is in that inter-vertebral discs, ligaments, and soft tissues connecting vertebrae do not need to be modeled as they are. The remarkable coupling effect between distinct degrees of freedom induced by the geometric complexity can be accommodated without much effort. An idealized block model with simple geometry for vertebra is employed to assess the feasibility of this method. Analyses are performed in both levels of motion segment and spinal column, and the result is compared with that from detail model. As far as the global behavior of spine is concerned, the simplification is found not to aggravate inaccuracy only if sufficient experimental data is provided and interpreted properly.

Keywords

References

  1. Goel, V. K. and Gilbertson, L. G., 'Application of the Finite Element Method to Thoracolumbar Spinal Research - Past, Present, and Future,' Spine, Vol. 20(15), pp. 1719-1727, 1995 https://doi.org/10.1097/00007632-199508000-00014
  2. Fagan, M. J., Julian, S. and Mohsen, A. M., 'Finite Element Analysis in Spine Research,' Proc Instn Mech Engrs Vol. 216 Part H: J. Engineering in Medicine, pp. 281-298, 2002 https://doi.org/10.1243/09544110260216568
  3. Belytschko, T., Schwer, L. and Privitzer, E., 'Theory and Application of a Three Dimensional Model of the Human Spine,' Aviation, Space, and Environmental Medicine, Vol. 49, pp. 158-165, 1978
  4. Viviani, G. R., Ghista, D. N., Lozada, P. J., Subbaraj, K. and Barnes, G., 'Biomechanical Analysis and Simulation of Scoliosis Surgical Correction,' Clin. Orthop. Related Res., Vol. 208, pp. 40-47,1986
  5. Stokes, 1. A. and Laible, J. P., 'Three Dimensional Osseo-Ligamentous Model of the Thorax Representing Initiation of Scoliosis by Asymmetric Growth,' J. Biomechanics, Vol. 23(6), pp. 589-595, 1990 https://doi.org/10.1016/0021-9290(90)90051-4
  6. Stokes, I. A. and Gardner-Morse, M., 'Three Dimensional Simulation of Harrington Distraction Instrumentation for Surgical Correction of Scoliosis,' Spine, Vol. 18(16), pp. 2457-2464,1993 https://doi.org/10.1097/00007632-199312000-00015
  7. Gardner-Morse, M. and Stokes, I.A., 'Three Dimensional Simulation of the Scoliosis Derotation Maneuver with Cotrel-Dubousset Instrumentation,' J. Biomechanics, Vol. 27(2), pp. 177-181, 1994 https://doi.org/10.1016/0021-9290(94)90206-2
  8. Shirazi-Adl, A. and Parnianpour, M., 'Nonlinear Response Analysis of the Human Ligamentous Lumbar Spine in Compression; On Mechanisms Affecting the Postural Stability,' Spine, Vol. 18(1), pp. 147-158, 1993 https://doi.org/10.1097/00007632-199301000-00021
  9. Lee, M., Kelly, D. W. and Steven, G. P., 'A Model of Spine, Ribcage and Pelvic Responses to a Specific Lumbar Manipulative Force in Relaxed Subjects,' J. Biomechanics, Vol. 28(11), pp. 1403-1408, 1995 https://doi.org/10.1016/0021-9290(95)00001-X
  10. Rohlmann, A., Calisse, J. and Bergmann, G., 'Internal Spinal Fixator Stiffness Has Only a Minor Influence on Stresses in the Adjacent Discs,' Spine, Vol. 24( 12), pp. 1192-1196, 1999 https://doi.org/10.1097/00007632-199906150-00004
  11. Stokes, I. A., Gardner-Morse, M., Churchill, D. and Laible, J. P., 'Measurement of a Spinal Motion Segment Stiffness Matrix,' J. Biomechanics, Vol. 35, pp. 517-521, 2002 https://doi.org/10.1016/S0021-9290(01)00221-4