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dc.contributor.authorGoyal, Vijay Kumaren_US
dc.date.accessioned2014-03-14T20:13:50Z
dc.date.available2014-03-14T20:13:50Z
dc.date.issued2002-07-02en_US
dc.identifier.otheretd-07102002-135308en_US
dc.identifier.urihttp://hdl.handle.net/10919/28244
dc.description.abstractBecause of the inherent complexity of fiber-reinforced laminated composites, it can be challenging to manufacture composite structures according to their exact design specifications, resulting in unwanted material and geometric uncertainties. Thus the understanding of the effect of uncertainties in laminated structures on their static and dynamic responses is highly important for a reliable design of such structures. In this research, we focus on the deterministic and probabilistic stability analysis of laminated structures subject to subtangential loading, a combination of conservative and nonconservative tangential loads, using the dynamic criterion. Thus a shear-deformable laminated beam element, including warping effects, is derived to study the deterministic and probabilistic response of laminated beams. This twenty-one degrees of freedom element can be used for solving both static and dynamic problems. In the first-order shear deformable model used here we have employed a more accurate method to obtain the transverse shear correction factor. The dynamic version of the principle of virtual work for laminated composites is expressed in its nondimensional form and the element tangent stiffness and mass matrices are obtained using analytical integration. The stability is studied by giving the structure a small disturbance about an equilibrium configuration, and observing if the resulting response remains small. In order to study the dynamic behavior by including uncertainties into the problem, three models were developed: Exact Monte Carlo Simulation, Sensitivity-Based Monte Carlo Simulation, and Probabilistic FEA. These methods were integrated into the developed finite element analysis. Also, perturbation and sensitivity analysis have been used to study nonconservative problems, as well as to study the stability analysis using the dynamic criterion.en_US
dc.publisherVirginia Techen_US
dc.relation.haspartphd3.pdfen_US
dc.rightsI hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Virginia Tech or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.en_US
dc.subjectDynamic Stabilityen_US
dc.subjectNonconservative Loadingen_US
dc.subjectFinite Elementen_US
dc.subjectProbabilistic Mechanicsen_US
dc.subjectUncertaintiesen_US
dc.subjectLaminated Beamsen_US
dc.titleDynamic Stability of Uncertain Laminated Beams Subjected to Subtangential Loadsen_US
dc.typeDissertationen_US
dc.contributor.departmentAerospace and Ocean 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 and Ocean Engineeringen_US
dc.contributor.committeechairKapania, Rakesh K.en_US
dc.contributor.committeememberPlaut, Raymond H.en_US
dc.contributor.committeememberThangjitham, Suroten_US
dc.contributor.committeememberSingh, Mahendra P.en_US
dc.contributor.committeememberJohnson, Eric R.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-07102002-135308/en_US
dc.date.sdate2002-07-10en_US
dc.date.rdate2003-07-24
dc.date.adate2002-07-24en_US


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