Vibration of structures with non-linear damping

dc.contributor.advisorKirk, Colin L.
dc.contributor.authorGabri, B. S.
dc.date.accessioned2009-08-10T11:27:37Z
dc.date.available2009-08-10T11:27:37Z
dc.date.issued1978-03
dc.description.abstractThe work reported here is directed towards the problem of measuring and modeling non-linear damping in steel space frame civil engineering structures. In order to gain a better understanding of the damping mechanism in such structures, tests were performed on a full scale bolted lattice structure and the results of section A show that the joint' damping can be represented approximately in the form: FD =C (1 +e IXIn) where n=1. Other situations. where this form of non-linear damping occurs is in the case of fluid flow past a solid body. In offshore structures the hydro-dynamic force due to drag effects are found to be proportional to velocity squared. For non linear material damping, n, takes a value of 6. In section B. various methods of solution to the non-linear dynamical system under random excitation were studied and it was found that the 'Equivalent Non- Linear Differential Equationl, (ENL) method yields a better measure of the response of the non-linear system to white noise excitation than other approximate methods. Analytical expressions are derived for the mean-square response, probability density function and level crossing rates. With the modified IENLI method (MENL) it is shown how one can extract the non-linear damping and excitation power spectral density. A good correlation is obtained between experimental and theoretical results.en_UK
dc.identifier.urihttp://hdl.handle.net/1826/3567
dc.language.isoenen_UK
dc.publisherCranfield Universityen_UK
dc.titleVibration of structures with non-linear dampingen_UK
dc.typeThesis or dissertationen_UK
dc.type.qualificationlevelDoctoralen_UK
dc.type.qualificationnamePhDen_UK

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