Accuracy analysis of the semi-analytical method for shape sensitivity analysis

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dc.contributor.authorBarthelemy, Brunoen
dc.contributor.committeechairHaftka, Raphael T.en
dc.contributor.committeememberJohnson, Eric R.en
dc.contributor.committeememberMróz, Zenonen
dc.contributor.committeememberPlaut, Raymond H.en
dc.contributor.committeememberReddy, Junuthula N.en
dc.contributor.departmentAerospace and Ocean Engineeringen
dc.date.accessioned2017-01-30T21:24:19Zen
dc.date.available2017-01-30T21:24:19Zen
dc.date.issued1987en
dc.description.abstractThe semi-analytical method, widely used for calculating derivatives of static response with respect to design variables for structures modeled by finite elements, is studied in this research. The research shows that the method can have serious accuracy problems for shape design variables in structures modeled by beam, plate, truss, frame, and solid elements. Local and global indices are developed to test the accuracy of the semi-analytical method. The local indices provide insight into the problem of large errors for the semi-analytical method. Local error magnification indices are developed for beam and plane truss structures, and several examples showing the severity of the problem are presented. The global index provides us with a general method for checking the accuracy of the semi-analytical method for any type of model. It characterizes the difference in errors between a general finite-difference method and the semi-analytical method. Moreover, a method improving the accuracy of the semi-analytical method (when possible) is provided. Examples are presented showing the use of the global index.en
dc.description.degreePh. D.en
dc.format.extentviii, 67 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/74754en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 17680952en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1987.B379en
dc.subject.lcshStructural designen
dc.subject.lcshStructural frames -- Modelsen
dc.titleAccuracy analysis of the semi-analytical method for shape sensitivity analysisen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineAerospace and Ocean Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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