Elasticity-based vibrations of hollow anisotropic beams and an evaluation of the shape factor for hollow anisotropic sections
| dc.contributor.author | Lebsack, Michael J., author | |
| dc.contributor.author | Heyliger, Paul, advisor | |
| dc.contributor.author | Criswell, Marvin, committee member | |
| dc.contributor.author | Puttlitz, Christian, committee member | |
| dc.date.accessioned | 2007-01-03T08:10:23Z | |
| dc.date.available | 2007-01-03T08:10:23Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | This study considers the transverse vibrations and natural frequencies of hollow anisotropic beams free from end restraints using full three-dimensional elasticity solutions and common one-dimensional beam theory approximations. Calculations of the natural frequencies are made for a number of hollow beam dimensions using the one-dimensional Euler-Bernoulli, Rayleigh, and Timoshenko beam theories. Complete derivations of the elasticity solutions and beam theories are presented. The accuracy of the approximate methods is determined by comparison to elasticity solutions. Subsequent discussion on the limitations of each approximate beam theory in calculating natural frequencies is made. Mode shapes and cross-section deformations for the first five modes of vibration are presented. Additionally, the shape factor for the Timoshenko beam theory is analyzed for hollow-anisotropic sections. | |
| dc.format.medium | born digital | |
| dc.format.medium | masters theses | |
| dc.identifier | Lebsack_colostate_0053N_11152.pdf | |
| dc.identifier | ETDF2012500166CVEE | |
| dc.identifier.uri | http://hdl.handle.net/10217/67886 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation.ispartof | 2000-2019 | |
| dc.rights | Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright. | |
| dc.title | Elasticity-based vibrations of hollow anisotropic beams and an evaluation of the shape factor for hollow anisotropic sections | |
| dc.type | Text | |
| dcterms.rights.dpla | This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| thesis.degree.discipline | Civil and Environmental Engineering | |
| thesis.degree.grantor | Colorado State University | |
| thesis.degree.level | Masters | |
| thesis.degree.name | Master of Science (M.S.) |
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