Shape sensitivity analysis of flutter response of a laminated wing

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dc.contributor.authorBergen, Frederick D'Oench Jren
dc.contributor.departmentAerospace and Ocean Engineeringen
dc.date.accessioned2014-08-13T14:40:17Zen
dc.date.available2014-08-13T14:40:17Zen
dc.date.issued1988en
dc.description.abstractA method is presented for calculating the shape sensitivity of a wing aeroelastic response with respect to changes in geometric shape. Yates’ modified strip method is used in conjunction with Giles' equivalent plate analysis to predict the flutter speed, frequency, and reduced frequency of the wing. Three methods are used to calculate the sensitivity of the eigenvalue. The first method is purely a finite difference calculation of the eigenvalue derivative directly from the solution of the flutter problem corresponding to the two different values of the shape parameters. The second method uses an analytic expression for the eigenvalue sensitivities of a general complex matrix, where the derivatives of the aerodynamic, mass, and stiffness matrices are computed using a finite difference approximation. The third method also uses an analytic expression for the eigenvalue sensitivities but the aerodynamic matrix is computed analytically. All three methods are found to be in good agreement with each other. The sensitivities of the eigenvalues were used to predict flutter speed, frequency , and reduced frequency. These approximations were found to be in good agreement with those obtained using a complete reanalysis. However, it is recommended that higher order terms be used in the calculations in order to assure greater accuracy.en
dc.description.adminincomplete_metadataen
dc.description.degreeMaster of Scienceen
dc.format.extentxii, 125 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/50074en
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 18759393en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1988.B473en
dc.subject.lcshFlutter (Aerodynamics)en
dc.subject.lcshOscillating wings (Aerodynamics)en
dc.subject.lcshAirplanes -- Wingsen
dc.titleShape sensitivity analysis of flutter response of a laminated wingen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineAerospace and Ocean Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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