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dc.contributor.advisorSmith, Douglas E., 1962-eng
dc.contributor.authorSiddhi, Vijendraeng
dc.date.issued2005eng
dc.date.submitted2005 Falleng
dc.descriptionThe entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file.eng
dc.descriptionTitle from title screen of research.pdf file viewed on (December 19, 2006)eng
dc.descriptionIncludes bibliographical references.eng
dc.descriptionVita.eng
dc.descriptionThesis (M.S.) University of Missouri-Columbia 2005.eng
dc.descriptionDissertations, Academic -- University of Missouri--Columbia -- Mechanical and aerospace engineering.eng
dc.description.abstractSensitivity analysis is an important step in any gradient based optimization problem. Eigenvalue and Eigenvector Sensitivity Analysis has been a major area for more than three decades in structural optimization. An efficient and generalized method is required to do the sensitivity analysis as it can reduce computational time for large industrial problems. Previous methods focus mainly on calculating the eigenvector sensitivity for mass normalized eigenvectors only. A new generalized method is presented to calculate the first and second order eigenvector sensitivities for eigenvectors with any normalization condition. This new generalized method incorporates the use of normalization condition in the eigenvector sensitivity calculation in a manner similar to the calculation of the eigenvectors themselves. This generalized method also reduces to the well known Nelson's method, which is generally accepted as the most efficient and exact method for eigenvector sensitivity analysis for mass normalized eigenvectors. Equations to compute eigenvector sensitivities when the normalization condition is changed are also derived. The effect of the eigenvector normalization condition on the eigenvector sensitivity is discussed. Examples are provided to illustrate the generalized method for the calculation of first-order and second-order eigenvector sensitivities and the use of rescaling equations.eng
dc.identifier.merlinb57456604eng
dc.identifier.urihttp://hdl.handle.net/10355/4244
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcommunityUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.subject.lcshEigenvectorseng
dc.subject.lcshEigenvalueseng
dc.titleA generalized approach for calculation of the eigenvector sensitivity for various eigenvector normalizationseng
dc.typeThesiseng
thesis.degree.disciplineMechanical and aerospace engineering (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelMasterseng
thesis.degree.nameM.S.eng


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