Nonlinear oscillations under multifrequency parametric excitation
| dc.contributor.author | Gentry, Jeanette J. | en |
| dc.contributor.committeecochair | Mook, Dean T. | en |
| dc.contributor.committeecochair | Plaut, Raymond H. | en |
| dc.contributor.committeemember | Nayfeh, Ali H. | en |
| dc.contributor.department | Engineering Mechanics | en |
| dc.date.accessioned | 2014-03-14T21:39:00Z | en |
| dc.date.adate | 2010-06-22 | en |
| dc.date.available | 2014-03-14T21:39:00Z | en |
| dc.date.issued | 1988-11-05 | en |
| dc.date.rdate | 2010-06-22 | en |
| dc.date.sdate | 2010-06-22 | en |
| dc.description.abstract | A second-order system of differential equations containing a multifrequency parametric excitation and weak quadratic and cubic nonlinearities is investigated. The method of multiple scales is used to carry out a general analysis, and three resonance conditions are considered in detail. First, the case in which the sum of two excitation frequencies is near two times a natural frequency, λ<sub>s</sub> + λ<sub>t</sub> <u>~</u>2Ï <sub>q</sub>, is examined. Second, the influence of an internal resonance, Ï <sub>q</sub =<u>~</u>3Ï r, on the previous case is studied. Finally, the effect of the internal resonance w<sub>r</sub><u>~</u>3w<sub>q</sub> on the resonance λ<sub>s</sub> + λ<sub>t</sub> <u>~</u>2Ï <sub>q</sub> is investigated. Results are presented as plots of response amplitudes as functions of a detuning parameter, excitation amplitude, and, for the first case, a measure of the relative values of λ<sub>s</sub> + λ<sub>t</sub>. | en |
| dc.description.degree | Master of Science | en |
| dc.format.extent | vi, 58 leaves | en |
| dc.format.medium | BTD | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.other | etd-06222010-020244 | en |
| dc.identifier.sourceurl | http://scholar.lib.vt.edu/theses/available/etd-06222010-020244/ | en |
| dc.identifier.uri | http://hdl.handle.net/10919/43402 | en |
| dc.publisher | Virginia Tech | en |
| dc.relation.haspart | LD5655.V855_1988.G467.pdf | en |
| dc.relation.isformatof | OCLC# 19289568 | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.lcc | LD5655.V855 1988.G467 | en |
| dc.subject.lcsh | Nonlinear oscillations | en |
| dc.subject.lcsh | Structural dynamics -- Mathematical models | en |
| dc.title | Nonlinear oscillations under multifrequency parametric excitation | en |
| dc.type | Thesis | en |
| dc.type.dcmitype | Text | en |
| thesis.degree.discipline | Engineering Mechanics | en |
| thesis.degree.grantor | Virginia Polytechnic Institute and State University | en |
| thesis.degree.level | masters | en |
| thesis.degree.name | Master of Science | en |
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