Large bone vibration: Modeling and experimental measurements

Azra Alizad, Matthew Walch, Mostafa Fatemi

Research output: Chapter in Book/Report/Conference proceedingConference contribution


A model for vibration of large bones, such as a femur, is presented. Using this model, the resonance frequencies of an intact, partially fractured, and bonded (healed) bone are determined. To measure bone resonance frequencies experimentally, a non-contact method for bone excitation and motion detection is developed. This method uses the radiation force of focused amplitude-modulated ultrasound to exert a vibrating force directly, and remotely, on excised bone. The vibration frequency is varied in the range of interest to induce resonances in the bone. The resulting bone motion is detected by a laser vibrometer and the resonance frequencies are determined. Experiments are conducted on excised rat femurs and resonance frequencies of intact, fractured, and bonded (simulating healed) bones are measured. The experiments demonstrate that the fractured bone exhibits a lower resonance frequency than the intact bone, and the resonance frequency of the bonded bone approaches that of the intact bone. These results are in agreement with the predictions of the model. It is concluded that the resonance frequencies of bone can be used as markers of its integrity, and the radiation force method may be used as a remote and noninvasive tool for studying one fracture.

Original languageEnglish (US)
Title of host publicationIFMBE Proceedings
EditorsSun I. Kim, Tae Suk Suh
PublisherSpringer Verlag
Number of pages4
ISBN (Print)9783540368397
StatePublished - 2007
Event10th World Congress on Medical Physics and Biomedical Engineering, WC 2006 - Seoul, Korea, Republic of
Duration: Aug 27 2006Sep 1 2006

Publication series

NameIFMBE Proceedings
ISSN (Print)1680-0737
ISSN (Electronic)1433-9277


Other10th World Congress on Medical Physics and Biomedical Engineering, WC 2006
Country/TerritoryKorea, Republic of


  • Bone
  • Bone healing
  • Modeling
  • Radiation force
  • Ultrasound
  • Vibrometery

ASJC Scopus subject areas

  • Bioengineering
  • Biomedical Engineering


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