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dc.contributor.authorCamarda, Charles J.en_US
dc.date.accessioned2014-03-14T21:20:58Z
dc.date.available2014-03-14T21:20:58Z
dc.date.issued1990-09-06en_US
dc.identifier.otheretd-10132005-152517en_US
dc.identifier.urihttp://hdl.handle.net/10919/39810
dc.description.abstractThis dissertation evaluates higher-order modal methods for predicting thermal and structural response. More accurate methods or ones which can significantly reduce the size of complex, transient thermal and structural problems are desirable for analysis and are required for synthesis of real structures subjected to thermal and mechanical loading. A unified method is presented for deriving successively higher-order modal solutions related to previously developed, lower-order methods such as the mode-displacement and mode-acceleration methods. A new method, called the force derivative method, is used to obtain higher-order modal solutions for both uncoupled (proportionally-damped) structural problems as well as thermal problems and coupled (non-proportionally damped) structural problems. The new method is called the force-derivative method because, analogous to the mode-acceleration method, it produces a term that depends on the forcing function and additional terms that depend on the time derivatives of the forcing function. The accuracy and convergence history of various modal methods are compared for several example problems, both structural and thermal. The example problems include the case of proportional damping for: a cantilevered beam subjected to a quintic time varying tip load and a unit step tip load and a muItispan beam subjected to both uniform and discrete quintic time-varying loads. Examples of non-proportional damping include a simple two-degreeof-freedom spring-mass system with discrete viscous dampers subjected to a sinusoidally varying load and a multispan beam with discrete viscous dampers subjected to a uniform, quintic time varying load. The last example studied is a transient thermal problem of a rod subjected to a linearly-varying, tip heat load.en_US
dc.format.mediumBTDen_US
dc.publisherVirginia Techen_US
dc.relation.haspartLD5655.V856_1990.C373.pdfen_US
dc.subjectStructural analysis (Engineering) Approximation meen_US
dc.subject.lccLD5655.V856 1990.C373en_US
dc.titleDevelopment of advanced modal methods for calculating transient thermal and structural responseen_US
dc.typeDissertationen_US
dc.contributor.departmentAerospace Engineeringen_US
dc.description.degreePh. D.en_US
thesis.degree.namePh. D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineAerospace Engineeringen_US
dc.contributor.committeechairHaftka, Raphael T.en_US
dc.contributor.committeememberLutze, Frederick H. Jr.en_US
dc.contributor.committeememberLibrescu, Liviuen_US
dc.contributor.committeememberPlaut, Raymond H.en_US
dc.contributor.committeememberKapania, Rabesh K.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10132005-152517/en_US
dc.date.sdate2005-10-13en_US
dc.date.rdate2005-10-13
dc.date.adate2005-10-13en_US


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