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research-article

Dynamic Assessment and Modeling of the Modal Frequencies and Shapes of Bovine Tibia

[+] Author and Article Information
reem Yassine

Mechanical Engineering Department, American University of Beirut, P.O. Box 11-0236, Riad El-Solh, Beirut 1107 2020, Lebanon
ray16@mail.aub.edu

Ali Fakhreddine

Mechanical Engineering Department, American University of Beirut, P.O. Box 11-0236, Riad El-Solh, Beirut 1107 2020, Lebanon
asf14@mail.aub.edu

Mohammad Sayegh

Mechanical Engineering Department, American University of Beirut, P.O. Box 11-0236, Riad El-Solh, Beirut 1107 2020, Lebanon
mhs59@mail.aub.edu

Samir Mustapha

Mechanical Engineering Department, American University of Beirut, P.O. Box 11-0236, Riad El-Solh, Beirut 1107 2020, Lebanon
sm154@aub.edu.lb

Ramsey Hamade

Mechanical Engineering Department, American University of Beirut, P.O. Box 11-0236, Riad El-Solh, Beirut 1107 2020, Lebanon
rh13@aub.edu.lb

1Corresponding author.

ASME doi:10.1115/1.4040797 History: Received November 30, 2017; Revised July 05, 2018

Abstract

Thirteen long tibia (bovine) bones were utilized in vitro to experimentally extract modal frequencies in 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 was more consistent when varying impact location. 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 C-C and M-L planes.

Copyright (c) 2018 by ASME
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