{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/3402"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/3402","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Instabilidade elastodinâmica de uma viga sob ação de um momento axial periódico","abstract":"The problem of the elastodynamic instability of a uniform Bernoulli-Euler beam subject to an axial periodic torque applied in one of its extremities is analyzed. Equations of motion, established via Hamilton Principle, are integrated by Galerkin method, resulting in two systems of Mathieu-Hill differential equations in terms of generalized coordinates. The trivial solutions of these systems determine the regions of parametric resonance of flexural vibrations of beam as functions of their natural frequencies and excitation parameters. Some numerical resul ts related to the problem are presented.","abstract_html":"The problem of the elastodynamic instability of a uniform Bernoulli-Euler beam subject to an axial periodic torque applied in one of its extremities is analyzed. Equations of motion, established via Hamilton Principle, are integrated by Galerkin method, resulting in two systems of Mathieu-Hill differential equations in terms of generalized coordinates. The trivial solutions of these systems determine the regions of parametric resonance of flexural vibrations of beam as functions of their natural frequencies and excitation parameters. Some numerical resul ts related to the problem are presented.","abstract_has_math":false,"creators":["Larangeira, Jorge Ledo"],"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":1971,"date_issued":"1971-12","date_published":"1971-12","updated_at":"2026-07-24T01:16:01Z","subjects":["Vigas","Elasticidade das estruturas"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/3402","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":["Larangeira, Jorge Ledo"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-01-05T17:22:27Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:04:24Z"]},{"key":"dc:date.issued","label":"Date","values":["1971-12"]},{"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":["Vigas","Elasticidade 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/11422/3402"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The problem of the elastodynamic instability of a uniform Bernoulli-Euler beam subject to an axial periodic torque applied in one of its extremities is analyzed. Equations of motion, established via Hamilton Principle, are integrated by Galerkin method, resulting in two systems of Mathieu-Hill differential equations in terms of generalized coordinates. The trivial solutions of these systems determine the regions of parametric resonance of flexural vibrations of beam as functions of their natural frequencies and excitation parameters. Some numerical resul ts related to the problem are presented."]},{"key":"dc:title","label":"Title","values":["Instabilidade elastodinâmica de uma viga sob ação de um momento axial periódico"]}]}],"canonical_facts":{"dc:contributor.advisor":["Bevilacqua, Luiz"],"dc:creator":["Larangeira, Jorge Ledo"],"dc:date.accessioned":["2018-01-05T17:22:27Z"],"dc:date.available":["2026-05-16T03:04:24Z"],"dc:date.issued":["1971-12"],"dc:description.abstract":["The problem of the elastodynamic instability of a uniform Bernoulli-Euler beam subject to an axial periodic torque applied in one of its extremities is analyzed. Equations of motion, established via Hamilton Principle, are integrated by Galerkin method, resulting in two systems of Mathieu-Hill differential equations in terms of generalized coordinates. The trivial solutions of these systems determine the regions of parametric resonance of flexural vibrations of beam as functions of their natural frequencies and excitation parameters. Some numerical resul ts related to the problem are presented."],"dc:identifier.uri":["http://hdl.handle.net/11422/3402"],"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":["Vigas","Elasticidade das estruturas"],"dc:title":["Instabilidade elastodinâmica de uma viga sob ação de um momento axial periódico"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:16:01Z"}