{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/3487"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/3487","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Aplicação do método de Ritz extendido na análise de vibrações e estabilidade dinâmica de placas circulares","abstract":"The aim of this paper is to present an appraximate soluction for the natural frequencies of circular plates, under axisynnetric transverse vibration. It was used the Ritz method to form a minimizing sequence for the energy functional. Initially a review of the basic principles of the variational calculus is presented. Then, the problem of axisylmmetric, transverse vibrations of a circular plate with torsional elastic support at its edge is solved. Finally, it is analyse:i the problem of a rotating circular plate with a central circular bole elastically supportedat its external edge.","abstract_html":"The aim of this paper is to present an appraximate soluction for the natural frequencies of circular plates, under axisynnetric transverse vibration. It was used the Ritz method to form a minimizing sequence for the energy functional. Initially a review of the basic principles of the variational calculus is presented. Then, the problem of axisylmmetric, transverse vibrations of a circular plate with torsional elastic support at its edge is solved. Finally, it is analyse:i the problem of a rotating circular plate with a central circular bole elastically supportedat its external edge.","abstract_has_math":false,"creators":["Prato, Nivaldo"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Bevilacqua, Luiz"],"committee_chairs":[],"committee_members":[],"year":1973,"date_issued":"1973-10","date_published":"1973-10","updated_at":"2026-07-24T01:16:04Z","subjects":["Placas","Vibrações mecânicas","Dinâmica das estruturas"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/3487","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Bevilacqua, Luiz"]},{"key":"dc:creator","label":"Author","values":["Prato, Nivaldo"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-01-16T17:41:35Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:04:28Z"]},{"key":"dc:date.issued","label":"Date","values":["1973-10"]},{"key":"dc:publisher","label":"Institution","values":["Universidade Federal do Rio de Janeiro"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"]},{"key":"dc:type","label":"Dc Type","values":["Dissertação"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Placas","Vibrações mecânicas","Dinâmica das estruturas"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["por"]},{"key":"dc:rights","label":"Dc Rights","values":["Acesso Aberto"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11422/3487"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The aim of this paper is to present an appraximate soluction for the natural frequencies of circular plates, under axisynnetric transverse vibration. It was used the Ritz method to form a minimizing sequence for the energy functional. Initially a review of the basic principles of the variational calculus is presented. Then, the problem of axisylmmetric, transverse vibrations of a circular plate with torsional elastic support at its edge is solved. Finally, it is analyse:i the problem of a rotating circular plate with a central circular bole elastically supportedat its external edge."]},{"key":"dc:title","label":"Title","values":["Aplicação do método de Ritz extendido na análise de vibrações e estabilidade dinâmica de placas circulares"]}]}],"canonical_facts":{"dc:contributor.advisor":["Bevilacqua, Luiz"],"dc:creator":["Prato, Nivaldo"],"dc:date.accessioned":["2018-01-16T17:41:35Z"],"dc:date.available":["2026-05-16T03:04:28Z"],"dc:date.issued":["1973-10"],"dc:description.abstract":["The aim of this paper is to present an appraximate soluction for the natural frequencies of circular plates, under axisynnetric transverse vibration. It was used the Ritz method to form a minimizing sequence for the energy functional. Initially a review of the basic principles of the variational calculus is presented. Then, the problem of axisylmmetric, transverse vibrations of a circular plate with torsional elastic support at its edge is solved. Finally, it is analyse:i the problem of a rotating circular plate with a central circular bole elastically supportedat its external edge."],"dc:identifier.uri":["http://hdl.handle.net/11422/3487"],"dc:language":["por"],"dc:publisher":["Universidade Federal do Rio de Janeiro"],"dc:publisher.department":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"],"dc:rights":["Acesso Aberto"],"dc:subject":["Placas","Vibrações mecânicas","Dinâmica das estruturas"],"dc:title":["Aplicação do método de Ritz extendido na análise de vibrações e estabilidade dinâmica de placas circulares"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:16:04Z"}