Vibrations of non-homogeneous media and the prediction of mechanical resonance in human tibia
| dc.creator | Miller, Allen Charles | |
| dc.date.accessioned | 2016-11-14T23:08:03Z | |
| dc.date.available | 2011-02-18T22:42:30Z | |
| dc.date.available | 2016-11-14T23:08:03Z | |
| dc.date.issued | 2000-08 | |
| dc.degree.department | Mathematics | en_US |
| dc.description.abstract | An analysis of longitudinal and transverse vibration in thin rods and Euler-Bernoulli beams is presented in which consitutive and geometric properties are allowed to vary with spatial coordinates. The specific form of cross-sectional areas and material properties that are adopted are used to model the mechanical resonances of the human tibia. Three specific models are presented. The transeverse vibrations in a beam with linear cross-sectional taper are addressed. This model is considered with both free-free and torsion spring-mass boundary conditions. A second model for transverse vibration in a beam with three piecewise linearly tapered segments is also analyzed. This model is considered with free-free boundary conditions. A model for longitudinal vibration in a beam with general cross-sectional areas and Young's modulus with free-free boundary conditions is also presented. For each of these beams, parameters are chosen to model data from the human tibia. The low-order frequencies of vibrations are computed and a comparison of other results in the literature is made. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/2346/18712 | en_US |
| dc.language.iso | eng | |
| dc.publisher | Texas Tech University | en_US |
| dc.rights.availability | Unrestricted. | |
| dc.subject | Tibia | en_US |
| dc.subject | Vibration | en_US |
| dc.subject | Resonance | en_US |
| dc.subject | Bones | en_US |
| dc.title | Vibrations of non-homogeneous media and the prediction of mechanical resonance in human tibia | |
| dc.type | Thesis |