{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/3649"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/3649","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Uma formalização da mecânica analítica dos sistemas de corpos rígidos","abstract":"The Lagrange's equations for systems of rigid bodies are obtained directly from the laws of motion for a rigid body, without the preliminary study of systems with a finite number of parti eles. ln doing so, the role of the evolution law for the angular momentum is made clear for the development of the theory. We obtain Euler's equation for a rigid body with a fixed point from Lagrange's equations, without using Euler's angles. And an elementary proof for the velocity field of a rigid body moving with a fixed point is presented.","abstract_html":"The Lagrange's equations for systems of rigid bodies are obtained directly from the laws of motion for a rigid body, without the preliminary study of systems with a finite number of parti eles. ln doing so, the role of the evolution law for the angular momentum is made clear for the development of the theory. We obtain Euler's equation for a rigid body with a fixed point from Lagrange's equations, without using Euler's angles. And an elementary proof for the velocity field of a rigid body moving with a fixed point is presented.","abstract_has_math":false,"creators":["Soares, Pius Paravidino de Macedo"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Martins, Luiz Carlos"],"committee_chairs":[],"committee_members":[],"year":1980,"date_issued":"1980-06","date_published":"1980-06","updated_at":"2026-07-24T01:16:07Z","subjects":["Dinâmica das estruturas","Mecânica dos sólidos","Análise não linear de estruturas"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/3649","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Martins, Luiz Carlos"]},{"key":"dc:creator","label":"Author","values":["Soares, Pius Paravidino de Macedo"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-02-26T12:54:54Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:05:26Z"]},{"key":"dc:date.issued","label":"Date","values":["1980-06"]},{"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":["Dinâmica das estruturas","Mecânica dos sólidos","Análise não linear de 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/11422/3649"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The Lagrange's equations for systems of rigid bodies are obtained directly from the laws of motion for a rigid body, without the preliminary study of systems with a finite number of parti eles. ln doing so, the role of the evolution law for the angular momentum is made clear for the development of the theory. We obtain Euler's equation for a rigid body with a fixed point from Lagrange's equations, without using Euler's angles. And an elementary proof for the velocity field of a rigid body moving with a fixed point is presented."]},{"key":"dc:title","label":"Title","values":["Uma formalização da mecânica analítica dos sistemas de corpos rígidos"]}]}],"canonical_facts":{"dc:contributor.advisor":["Martins, Luiz Carlos"],"dc:creator":["Soares, Pius Paravidino de Macedo"],"dc:date.accessioned":["2018-02-26T12:54:54Z"],"dc:date.available":["2026-05-16T03:05:26Z"],"dc:date.issued":["1980-06"],"dc:description.abstract":["The Lagrange's equations for systems of rigid bodies are obtained directly from the laws of motion for a rigid body, without the preliminary study of systems with a finite number of parti eles. ln doing so, the role of the evolution law for the angular momentum is made clear for the development of the theory. We obtain Euler's equation for a rigid body with a fixed point from Lagrange's equations, without using Euler's angles. And an elementary proof for the velocity field of a rigid body moving with a fixed point is presented."],"dc:identifier.uri":["http://hdl.handle.net/11422/3649"],"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":["Dinâmica das estruturas","Mecânica dos sólidos","Análise não linear de estruturas"],"dc:title":["Uma formalização da mecânica analítica dos sistemas de corpos rígidos"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:16:07Z"}