Cover
Vol. 14 No. 2 (2014)

Published: June 30, 2014

Pages: 229-239

Original Article

VIBRATION OF BONES: A CASE STUDY ON HUMAN FEMUR

Abstract

The frequency analysis of bones is a new tool to assess bone quality or integrity to characterize osteoporosis. The modal analysis can also be used to determine failure characteristics of remodeled bone in the fractured model. This study describes the numerical characterization of the modal analysis of the standardized femur model. The objective of the numerical procedure is to identify the natural frequencies and mode shapes of an unconstrained femur. The vibration modes of the human femur are studied by digital modal analysis and finite element simulation using ANSYS version 10 programs, with respect to femur dimensions and mechanical properties. The changing of the values of free vibration natural frequencies and mode shapes of the femur due to changing of the femur densities are studied. The results are compared to those obtained experimentally. The comparison of the results shows a good agreement, which indicates that the used model can be utilized in vibration analysis of bones.

References

  1. Daniel j. Gorman " Free vibration analysis of beams and shafts " John Wiley & sons, 1975.
  2. Beatrice Couteau, Marie-Christine Hobatho, Robert Darmana, Jean-Claude Brignola, Jean-Yves Arlaud " Finite element modelling of the vibrational behaviour of the human femur using CT-based individualized geometrical and material properties " Journal of Biomechanics,vol 31, 1998.
  3. Dimarogonas, A. “ Method And Apparatus For Determining Bone Density And Diagnosing osteoporosis ” US patant No. 5836876, nov. 1998.
  4. V. Pattijna, C. Van Lierdeb, G. Van der Perrea, I. Naertc, J. Slotena " The resonance frequencies and mode shapes of dental implants: Rigid body behaviour versus bending behaviour. A numerical approach " Journal of Biomechanics,vol.39,p.p 939–947,2006.
  5. Yoon Hyuk Kim, Chang Hwan Byun and Taek Yul Oh " EFFICT OF OSTEOPOOSIS ON NATURAL FREQUENCIES IN MOUSE FEMUR " research,Trans Tech Publication, Switzerland, 2006.
  6. Irina Ionescu, Ted Conway, Alexandra Schonning, Mutlaq Almutairi, David W. Nicholson " Solid Modeling And Static Finite Element Analysis Of The Human Tibia " University of Central Florida Orlando, Florida, 2003.
  7. rabia hürrem özdurak " Vibration Analysis In The Diagnosis Of Bone Mineral Density In Healthy And Osteopenia Radius Bone And Its Correlation To Muscle Strength "Master’s thesis, Department of Physical Education and Sports, Middle East Technical University, Ankara , JUNE 2004.
  8. Ahmet C. Cilingira, Vahdet Ucara, Recep Kazana " Three-Dimensional Anatomic Finite Element Modeling of Hemi Arthroplasty of Human Hip Joint " Trends Biomater. Artif. Organs, Vol 21,pp.(63-72), 2007.
  9. Biomechanics in dentistry from the site " http://www.feppd.org/ICB- Dent/campus/biomechanics_in_dentistry/ldv_data/mech/b asic_bone.htm "
  10. W.R. Taylor, E. Rolandb, H. Ploegc, D. Hertigc, R. Klabundec, M.D. Warnera, M.C. Hobathod, L. Rakotomananab, S.E. Clifta " Determination of orthotropic bone elastic constants using FEA and modal analysis " Journal of Biomechanics ,vol.35, pp. (767–773), 2002.
  11. Almudaffar M. A. Alwahid " DESIGN, CONSTRUCTION AND TESTING OFA GRASPING PLATE FOR HUMAN EXTRACAPSULAR FEMORAL NECK FRACTURE FIXATION " PhD thesis, University of Basrah, Mechanical engineering, October 2005.
  12. ANSYS Element Reference, from the site “ http://www.ansys.com/customure/ content/documentation/80/ansys/hlp-e-solid 187.html.
  13. J.F Dias Rodrigues, H. Lopes, EQ. de Melo and J.A. Sim6es " Experimental Modal Analysis of a Synthetic Composite Femur " , Society for Experimental Mechanics, 2002.
  14. S.V.N. Jaecques, C. Pastrav, A. Zahariuc, G. Van der Perre " Analysis of the fixation quality of cementless hip prostheses using a vibrational technique " K.U.Leuven, Department Mechanical Engineering, Division of Biomechanics and Engineering Design,ISMA,2004.
  15. http://hypertextbook.com/facts/2002/AnnaYarusskaya.sht ml.
  16. " http://courses.washington.edu/bonephys/opbmd.html
  17. Azra Alizad, Matthew Walch & James F. Greenleaf "Vibrational Characteristics of Bone Fracture and Fracture Repair: Application to Exercised Rat Femur" Journal of Biomechanical Engineering June Volume 128, Issue 3, pp. 300-308,2006.
  18. Sylvia S. Mader. “Understanding Human Anatomy & Physiology “Fifth Edition, The McGraw-Hill Companies, 2 Vander
  19. http://courses.washington.edu/bonephys/opbmd.html "