Thirteen long tibia (bovine) bones were utilized in vitro to experimentally extract modal frequencies in the cranial-caudal (C-C) and medial–lateral (M–L) planes. Bones were instrumented with four single-axis accelerometers uniformly placed along the length of the bone and hammer impacted at different locations in both planes. Frequency response function (FRF) and complex mode indicator function (CMIF) techniques were used to identify the modal frequencies. CMIF has an advantage of detecting closely spaced modes by excluding misinterpreted peaks. It was found that the difference between the two methods did not exceed 2.98%. CMIF data were more consistent when varying impact location. The effect of bone's geometrical attributes on modal frequencies was statistically scrutinized and highly correlated parameters were identified. Bone length exhibited high correspondence to frequencies (p < 0.05) for practically all modes. Also, four simple equations were developed, relating modes 1 and 2 in the C-C and M-L planes to bone length. To determine the first and second modal shapes, subset of 6 tibia bones was further instrumented. Mode shapes were extracted in the C-C and M-L planes.
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November 2018
Research-Article
Dynamic Assessment and Modeling of the Modal Frequencies and Shapes of Bovine Tibia
Reem Yassine,
Reem Yassine
Mechanical Engineering Department,
American University of Beirut,
P.O. Box 11-0236,
Riad El-Solh,
Beirut 1107 2020, Lebanon
American University of Beirut,
P.O. Box 11-0236,
Riad El-Solh,
Beirut 1107 2020, Lebanon
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Ali Fakhreddine,
Ali Fakhreddine
Mechanical Engineering Department,
American University of Beirut,
Riad El-Solh,
Beirut 1107 2020, Lebanon
American University of Beirut,
P
.O. Box 11-0236, Riad El-Solh,
Beirut 1107 2020, Lebanon
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Mohammad Sayegh,
Mohammad Sayegh
Mechanical Engineering Department,
American University of Beirut,
Riad El-Solh,
Beirut 1107 2020, Lebanon
American University of Beirut,
P
.O. Box 11-0236, Riad El-Solh,
Beirut 1107 2020, Lebanon
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Samir Mustapha,
Samir Mustapha
Mechanical Engineering Department,
American University of Beirut,
P.O. Box 11-0236,
Riad El-Solh,
Beirut 1107 2020, Lebanon
American University of Beirut,
P.O. Box 11-0236,
Riad El-Solh,
Beirut 1107 2020, Lebanon
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Ramsey F. Hamade
Ramsey F. Hamade
Mechanical Engineering Department,
American University of Beirut,
P.O. Box 11-0236,
Riad El-Solh,
Beirut 1107 2020, Lebanon
e-mail: rh13@aub.edu.lb
American University of Beirut,
P.O. Box 11-0236,
Riad El-Solh,
Beirut 1107 2020, Lebanon
e-mail: rh13@aub.edu.lb
Search for other works by this author on:
Reem Yassine
Mechanical Engineering Department,
American University of Beirut,
P.O. Box 11-0236,
Riad El-Solh,
Beirut 1107 2020, Lebanon
American University of Beirut,
P.O. Box 11-0236,
Riad El-Solh,
Beirut 1107 2020, Lebanon
Ali Fakhreddine
Mechanical Engineering Department,
American University of Beirut,
Riad El-Solh,
Beirut 1107 2020, Lebanon
American University of Beirut,
P
.O. Box 11-0236, Riad El-Solh,
Beirut 1107 2020, Lebanon
Mohammad Sayegh
Mechanical Engineering Department,
American University of Beirut,
Riad El-Solh,
Beirut 1107 2020, Lebanon
American University of Beirut,
P
.O. Box 11-0236, Riad El-Solh,
Beirut 1107 2020, Lebanon
Samir Mustapha
Mechanical Engineering Department,
American University of Beirut,
P.O. Box 11-0236,
Riad El-Solh,
Beirut 1107 2020, Lebanon
American University of Beirut,
P.O. Box 11-0236,
Riad El-Solh,
Beirut 1107 2020, Lebanon
Ramsey F. Hamade
Mechanical Engineering Department,
American University of Beirut,
P.O. Box 11-0236,
Riad El-Solh,
Beirut 1107 2020, Lebanon
e-mail: rh13@aub.edu.lb
American University of Beirut,
P.O. Box 11-0236,
Riad El-Solh,
Beirut 1107 2020, Lebanon
e-mail: rh13@aub.edu.lb
1Corresponding author.
Manuscript received November 30, 2017; final manuscript received July 5, 2018; published online August 16, 2018. Assoc. Editor: Fabrizio Ricci.
ASME J Nondestructive Evaluation. Nov 2018, 1(4): 041006-041006-9 (9 pages)
Published Online: August 16, 2018
Article history
Received:
November 30, 2017
Revised:
July 5, 2018
Citation
Yassine, R., Fakhreddine, A., Sayegh, M., Mustapha, S., and Hamade, R. F. (August 16, 2018). "Dynamic Assessment and Modeling of the Modal Frequencies and Shapes of Bovine Tibia." ASME. ASME J Nondestructive Evaluation. November 2018; 1(4): 041006–041006–9. https://doi.org/10.1115/1.4040797
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