Transient response of a harmonic oscillator with quadratic damping

dc.contributor.advisorHolt, E. C.
dc.creatorGoering, Kent LaVerne
dc.date.accessioned2016-04-21T12:02:08Z
dc.date.available2016-04-21T12:02:08Z
dc.date.issued1967
dc.description.abstractAn analytical investigation is made of the transient response of a harmonic oscillator with damping proportional to the square of the velocity. The input motions considered are the half-cycle velocity pulse and the half- cycle displacement pulse. The response quantities studied are the maximum displacement, velocity, arid acceleration of the system. Results were obtained by integrating the equation numerically and are summarized in the form of response spectra. The results are compared to those obtained with linear damping; a method for obtaining equivalent linear damping coefficients is given. The study indicates that quadratic damping is most effective in reducing responses in the range of frequencies for which the responses are the largest. For lightly damped systems, quadratic damping was found to be equally effective in reducing each of the three responses studied. But for heavily damped systems it is most effective in reducing velocities.
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent54 ppen_US
dc.identifier.callnoThesis C.E. 1967 GOERINGen_US
dc.identifier.citationGoering, Kent LaVerne. "Transient response of a harmonic oscillator with quadratic damping." (1967) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/89308">https://hdl.handle.net/1911/89308</a>.
dc.identifier.digitalRICE0346en_US
dc.identifier.urihttps://hdl.handle.net/1911/89308
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.titleTransient response of a harmonic oscillator with quadratic damping
dc.typeThesis
dc.type.materialText
thesis.degree.departmentChemical and Biomolecular Engineering
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Science
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