Show simple item record

dc.contributor.authorWang, Kaihongen_US
dc.date.accessioned2014-03-14T20:19:41Z
dc.date.available2014-03-14T20:19:41Z
dc.date.issued2004-11-29en_US
dc.identifier.otheretd-12032004-110007en_US
dc.identifier.urihttp://hdl.handle.net/10919/29891
dc.description.abstractAn analytical model of cracked composite beams vibrating in coupled bending-torsion is developed. The beam is made of fiber-reinforced composite with fiber angles in each ply aligned in the same direction. The crack is assumed open. The local flexibility concept is implemented to model the open crack and the associated compliance matrix is derived. The crack introduces additional boundary conditions at the crack location and these effects in conjunction with those of material properties are investigated. Free vibration analysis of the cracked composite beam is presented. The results indicate that variation of natural frequencies in the presence of a crack is affected by the crack ratio and location, as well as the fiber orientation. In particular, the variation pattern is different as the magnitude of bending-torsion coupling changes due to different fiber angles. When bending and torsional modes are essentially decoupled at a certain fiber angle if there is no crack, the crack introduces coupling to the initially uncoupled bending and torsion. Based on the crack model, aeroelastic characteristics of an unswept composite wing with an edge crack are investigated. The cracked composite wing is modeled by a cracked composite cantilever and the inertia coupling terms are included in the model. An approximate solution on critical flutter and divergence speeds is obtained by Galerkin's method in which the fundamental mode shapes of the cracked wing model in free vibration are used. It is shown that the critical divergence/flutter speed is affected by the elastic axis location, the inertia axis location, fiber angles, and the crack ratio and location. Moreover, model-based crack detection (size and location) by changes in natural frequencies is addressed. The Cawley-Adams criterion is implemented and a new strategy in grouping frequencies is proposed to reduce the probability of measurement errors. Finally, sensitivity of natural frequencies to model parameter uncertainties is investigated. Uncertainties are modeled by information-gap theory and represented with a collection of nested sets. Five model parameters that may have larger uncertainties are selected in the analysis, and the frequency sensitivities to uncertainties in the five model parameters are compared in terms of two immunity functions.en_US
dc.publisherVirginia Techen_US
dc.relation.haspartWANGK2004.pdfen_US
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectflutter and divergenceen_US
dc.subjectvibration analysisen_US
dc.subjectInfo-gap modelingen_US
dc.subjectcrack detectionen_US
dc.subjectbending-torsion couplingen_US
dc.subjectcracked composite wingen_US
dc.subjectcracked compositeen_US
dc.titleVibration Analysis of Cracked Composite Bending-torsion Beams for Damage Diagnosisen_US
dc.typeDissertationen_US
dc.contributor.departmentMechanical 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.disciplineMechanical Engineeringen_US
dc.contributor.committeechairInman, Daniel J.en_US
dc.contributor.committeememberRobertshaw, Harry H.en_US
dc.contributor.committeememberPark, Gyuhaeen_US
dc.contributor.committeememberSingh, Mahendra P.en_US
dc.contributor.committeememberLeo, Donald J.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-12032004-110007/en_US
dc.date.sdate2004-12-03en_US
dc.date.rdate2004-12-03
dc.date.adate2004-12-03en_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record