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Document Type

Thesis - University Access Only

Award Date


Degree Name

Master of Science (MS)

Department / School

Mechanical Engineering

First Advisor

Shanzhong Duan


Low magnitude, high frequency whole-body vibration (WBV) has been found to increase bone mineral density in both animal and clinical studies. The biological mechanism behind this phenomenon is obscure and a model would be beneficial to assist in analyzing the effects of WBV on the human skeleton. In this thesis, Kane’s method is used to derive the equations of motion for a multi-body model of the human body standing on a vibration platform. The model consists of rigid bodies connected by ideal joints that simulate the skeletal structure of the human body. Spring and damper elements represent the ligaments and tendons connecting the rigid bodies; a sinusoidal force function denotes the vibration input of the platform. The equations of motion generated by Kane’s method are solved in MATLAB using fourth-order Runge-Kutta. The results from the simulation are compared to experimental data in order to validate the model.

Library of Congress Subject Headings

Vibration -- Physiological effect


Includes bibliographical references (pages 81-88)



Number of Pages



South Dakota State University


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