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Determination of the Filippov solutions of the nonlinear oscillator with dry friction

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dc.contributor.advisor Guenther, Ronald B.
dc.creator Moreland, Heather L.
dc.date.accessioned 2012-08-15T19:43:57Z
dc.date.available 2012-08-15T19:43:57Z
dc.date.copyright 2001-09-04
dc.date.issued 2001-09-04
dc.identifier.uri http://hdl.handle.net/1957/32440
dc.description Graduation date: 2002 en_US
dc.description.abstract In previous papers by Awrejcewicz in 1986 and Narayanan and Jayaraman in 1991, it was claimed that the nonlinear oscillator with dry friction exhibited chaos for several forcing frequencies. The chaos determination was achieved using the characteristic exponent of Lyapunov which requires the right-hand side of the differential equation to be differentiable. With the addition of the dry friction term, the right-hand side of the equation of motion is not continuous and therefore not differentiable. Thus this approach cannot be used. The Filippov definition must be employed to handle the discontinuity in the spatial variable. The behavior of the nonlinear oscillator with dry friction is studied using a numerical solver which produces the Filippov solution. The results show that the system is not chaotic; rather it has a stable periodic limit cycle for at least one forcing frequency. Other forcing frequencies produce results that do not clearly indicate the presence of chaotic motion. en_US
dc.language.iso en_US en_US
dc.subject.lcsh Nonlinear oscillations en_US
dc.subject.lcsh Chaotic behavior in systems en_US
dc.title Determination of the Filippov solutions of the nonlinear oscillator with dry friction en_US
dc.type Thesis/Dissertation en_US
dc.degree.name Master of Science (M.S.) in Mathematics en_US
dc.degree.level Master's en_US
dc.degree.discipline Science en_US
dc.degree.grantor Oregon State University en_US
dc.contributor.committeemember Barnes, Jeff
dc.contributor.committeemember Faridani, Adel
dc.contributor.committeemember Lee, John
dc.description.digitization File scanned at 300 ppi (Monochrome) using ScandAll PRO 1.8.1 on a Fi-6670 in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR. en_US
dc.description.peerreview no en_us


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