{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/45388"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/45388","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Random vibrations of mistuned periodic structures","abstract":"Nearly periodic structures exhibit localized modes of vibration depending upon the ex· tent of the coupling and the disorder between their periodic components. These localized modes may cause excessive vibration amplitudes resulting in significantly higher stresses than the ones the structures have been designed to withstand. The Rayleigh-Ritz method, as employed earlier, for dynamic analysis for two-span beams could predict only the lower modes of vibration at prohibitive computational expense. A semi-analytical method which predicts even the higher modes at significantly reduced cost has been applied to the free vibration analysis of two-span beams. This method has been applied to the forced vibration analysis of a couple of mistuned turbine blades modeled as a two- span beam rotating in a turbulent flow field. It is shown that the maximum vibration amplitude of the mistuned structure may increase by several hundred percent as compared to that of the perfectly ordered structure.","abstract_html":"Nearly periodic structures exhibit localized modes of vibration depending upon the ex· tent of the coupling and the disorder between their periodic components. These localized modes may cause excessive vibration amplitudes resulting in significantly higher stresses than the ones the structures have been designed to withstand. The Rayleigh-Ritz method, as employed earlier, for dynamic analysis for two-span beams could predict only the lower modes of vibration at prohibitive computational expense. A semi-analytical method which predicts even the higher modes at significantly reduced cost has been applied to the free vibration analysis of two-span beams. This method has been applied to the forced vibration analysis of a couple of mistuned turbine blades modeled as a two- span beam rotating in a turbulent flow field. It is shown that the maximum vibration amplitude of the mistuned structure may increase by several hundred percent as compared to that of the perfectly ordered structure.","abstract_has_math":false,"creators":["Ahuja, Anil"],"institution":"Virginia Tech","degree_name":"Master of Science","degree_level":"masters","degree_discipline":"Aerospace and Ocean Engineering","degree_department":"Aerospace and Ocean Engineering","school":null,"contributors":[],"advisors":[],"committee_chairs":["Nikolaidis, Efstratios"],"committee_members":["Kapania, Rakesh K.","Johnson, Eric R."],"year":1990,"date_issued":"1990-02-02","date_published":"1990-02-02","updated_at":"2026-07-22T22:20:00Z","subjects":[],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-11012008-063055"],"render_values":[{"text":"etd-11012008-063055","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10919/45388","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.committeechair","label":"Committee Chair","values":["Nikolaidis, Efstratios"]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Kapania, Rakesh K.","Johnson, Eric R."]},{"key":"dc:contributor.department","label":"Department","values":["Aerospace and Ocean Engineering"]},{"key":"dc:creator","label":"Author","values":["Ahuja, Anil"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-03-14T21:48:36Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-03-14T21:48:36Z","2008-11-01"]},{"key":"dc:date.issued","label":"Date","values":["1990-02-02"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Tech"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Aerospace and Ocean Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute and State University"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-11012008-063055"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/45388"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Nearly periodic structures exhibit localized modes of vibration depending upon the ex· tent of the coupling and the disorder between their periodic components. These localized modes may cause excessive vibration amplitudes resulting in significantly higher stresses than the ones the structures have been designed to withstand. The Rayleigh-Ritz method, as employed earlier, for dynamic analysis for two-span beams could predict only the lower modes of vibration at prohibitive computational expense. A semi-analytical method which predicts even the higher modes at significantly reduced cost has been applied to the free vibration analysis of two-span beams. This method has been applied to the forced vibration analysis of a couple of mistuned turbine blades modeled as a two- span beam rotating in a turbulent flow field. It is shown that the maximum vibration amplitude of the mistuned structure may increase by several hundred percent as compared to that of the perfectly ordered structure."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Master of Science"]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["BTD"]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Random vibrations of mistuned periodic structures"]}]}],"canonical_facts":{"dc:contributor.committeechair":["Nikolaidis, Efstratios"],"dc:contributor.committeemember":["Kapania, Rakesh K.","Johnson, Eric R."],"dc:contributor.department":["Aerospace and Ocean Engineering"],"dc:creator":["Ahuja, Anil"],"dc:date.accessioned":["2014-03-14T21:48:36Z"],"dc:date.available":["2014-03-14T21:48:36Z","2008-11-01"],"dc:date.issued":["1990-02-02"],"dc:description.abstract":["Nearly periodic structures exhibit localized modes of vibration depending upon the ex· tent of the coupling and the disorder between their periodic components. These localized modes may cause excessive vibration amplitudes resulting in significantly higher stresses than the ones the structures have been designed to withstand. The Rayleigh-Ritz method, as employed earlier, for dynamic analysis for two-span beams could predict only the lower modes of vibration at prohibitive computational expense. A semi-analytical method which predicts even the higher modes at significantly reduced cost has been applied to the free vibration analysis of two-span beams. This method has been applied to the forced vibration analysis of a couple of mistuned turbine blades modeled as a two- span beam rotating in a turbulent flow field. It is shown that the maximum vibration amplitude of the mistuned structure may increase by several hundred percent as compared to that of the perfectly ordered structure."],"dc:description.degree":["Master of Science"],"dc:format.medium":["BTD"],"dc:format.mimetype":["application/pdf"],"dc:identifier.other":["etd-11012008-063055"],"dc:identifier.uri":["http://hdl.handle.net/10919/45388"],"dc:language.iso":["en"],"dc:publisher":["Virginia Tech"],"dc:rights":["In Copyright"],"dc:rights.uri":["http://rightsstatements.org/vocab/InC/1.0/"],"dc:title":["Random vibrations of mistuned periodic structures"],"dc:type":["Thesis"],"dc:type.dcmitype":["Text"],"thesis:degree_discipline":["Aerospace and Ocean Engineering"],"thesis:degree_level":["masters"],"thesis:degree_name":["Master of Science"],"thesis:institution_name":["Virginia Polytechnic Institute and State University"]},"updated_at":"2026-07-22T22:20:00Z"}