Nonlinear forced response of circular cylindrical shells

dc.contributor.authorRaouf, Raouf A.en
dc.contributor.departmentEngineering Science and Mechanicsen
dc.date.accessioned2020-12-14T16:35:03Zen
dc.date.available2020-12-14T16:35:03Zen
dc.date.issued1985en
dc.description.abstractA combination of the Galerkin procedure and the method of multiple scales is used to analyze the nonlinear forced response of circular cylindrical shells in the presence of internal (autoparametric) resonances. If ω<sub>f</sub> and a<sub>f</sub> denote the frequency and amplitude of a flexural mode and ω<sub>b</sub> and a<sub>b</sub> denote the frequency and amplitude of the breathing mode, the steady-state response exhibits a saturation phenomenon when ω<sub>b</sub> ≈ 2w<sub>f</sub> if the shell is excited by a harmonic load having a frequency Ω near ω<sub>b</sub>. As the amplitude f of the excitation increases from zero, a<sub>b</sub> increases linearly whereas a<sub>f</sub> remains zero until a threshold is reached. This threshold is a function of the damping coefficients and ω<sub>b</sub> -2w<sub>f</sub>. Beyond this threshold, a<sub>b</sub> remains constant (i.e., the breathing mode saturates) and the extra energy spills over into the flexural mode. In other words, although the breathing mode is directly excited by the load, it absorbs a small amount of the input energy (responds with a small amplitude) and passes the rest of the input energy into the flexural mode (responds with a large amplitude).en
dc.description.degreeM.S.en
dc.format.extentvi, 47 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/101255en
dc.language.isoenen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 15044566en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1985.R368en
dc.subject.lcshResonanceen
dc.titleNonlinear forced response of circular cylindrical shellsen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineEngineering Science and Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameM.S.en

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