Response of a nonlinear two-degree-of-freedom system to a horizontal harmonic excitation

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dc.creatorLi, Wenlung
dc.date.accessioned2016-11-14T23:08:01Z
dc.date.available2011-02-18T22:41:10Z
dc.date.available2016-11-14T23:08:01Z
dc.date.issued1985-12
dc.degree.departmentMechanical Engineeringen_US
dc.description.abstractAn elastic structure containing a fluid subjected to a horizontal sinusoidal excitation is investigated. The system is found to include cubic nonlinearities. The system response is determined by using the multiple scales asymptotic approximation method. The method predicts that primary resonances may occur when the excitation frequency, Ω is close to either the first mode natural frequency, ω1, or the second mode natural frequency, ω2. The system behavior under the fourth order internal resonance condition (ω2 ≈ 3ω1) is predicted. The system response under conditions of primary resonances (Ω ≈ω1 and Ω≈ω2), together with internal resonance is also considered. Other features, such as amplitude jump phenomenon and chaotic-like response have been observed. Two possible responses have been found when Ω is near ω2 = unlmodal response and autoparametric interaction response. The boundaries of these two motions are defined in the excitation amplitude - frequency plane. Moreover, the so called "static attractor" is also observed.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2346/18674en_US
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.rights.availabilityUnrestricted.
dc.subjectVibration -- Mathematical modelsen_US
dc.subjectCylinders -- Vibrationen_US
dc.subjectDegree of freedomen_US
dc.subjectOscillationsen_US
dc.subjectSloshing (Hydrodynamics)en_US
dc.titleResponse of a nonlinear two-degree-of-freedom system to a horizontal harmonic excitation
dc.typeThesis

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