{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/3930"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/3930","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Análise modal assintótica da estabilidade de estruturas reticuladas espaciais","abstract":"This work presents a solution, by the Finite Element Method, for non-linear asymptotic analysis of elastic stability for space frames under conservative loads. The general non-linear equilibrium and critical equilibrium equations are obtained through a Lagrangian formulation, by analysing the variation of the total potential energy resulting from incremental displacements. The perturbation technique in a matrix form allows asymptotic approaches of primary and secondaries paths, to be calculated in an adequate form for computational purposes. The linearized critical equilibrium analysis is used in an alternative plus consistent form, yielding critical loads and modes that are usually better approximations than those from a conventional procedure. As a consequence of the asymptotic expantions, an automatic selection of a reduced number of modes is obtained for the non-linear model analysis, which also permits the study of the influence of small geometric imperfections.","abstract_html":"This work presents a solution, by the Finite Element Method, for non-linear asymptotic analysis of elastic stability for space frames under conservative loads. The general non-linear equilibrium and critical equilibrium equations are obtained through a Lagrangian formulation, by analysing the variation of the total potential energy resulting from incremental displacements. The perturbation technique in a matrix form allows asymptotic approaches of primary and secondaries paths, to be calculated in an adequate form for computational purposes. The linearized critical equilibrium analysis is used in an alternative plus consistent form, yielding critical loads and modes that are usually better approximations than those from a conventional procedure. As a consequence of the asymptotic expantions, an automatic selection of a reduced number of modes is obtained for the non-linear model analysis, which also permits the study of the influence of small geometric imperfections.","abstract_has_math":false,"creators":["Alves, Ricardo Valeriano"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Batista, Ronaldo Carvalho"],"committee_chairs":[],"committee_members":[],"year":1989,"date_issued":"1989-06","date_published":"1989-06","updated_at":"2026-07-24T01:16:10Z","subjects":["Engenharia Civil"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/3930","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Batista, Ronaldo Carvalho"]},{"key":"dc:creator","label":"Author","values":["Alves, Ricardo Valeriano"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-05-08T13:25:23Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:05:29Z"]},{"key":"dc:date.issued","label":"Date","values":["1989-06"]},{"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":["Engenharia Civil"]}]},{"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/11422/3930"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["This work presents a solution, by the Finite Element Method, for non-linear asymptotic analysis of elastic stability for space frames under conservative loads. The general non-linear equilibrium and critical equilibrium equations are obtained through a Lagrangian formulation, by analysing the variation of the total potential energy resulting from incremental displacements. The perturbation technique in a matrix form allows asymptotic approaches of primary and secondaries paths, to be calculated in an adequate form for computational purposes. The linearized critical equilibrium analysis is used in an alternative plus consistent form, yielding critical loads and modes that are usually better approximations than those from a conventional procedure. As a consequence of the asymptotic expantions, an automatic selection of a reduced number of modes is obtained for the non-linear model analysis, which also permits the study of the influence of small geometric imperfections."]},{"key":"dc:title","label":"Title","values":["Análise modal assintótica da estabilidade de estruturas reticuladas espaciais"]}]}],"canonical_facts":{"dc:contributor.advisor":["Batista, Ronaldo Carvalho"],"dc:creator":["Alves, Ricardo Valeriano"],"dc:date.accessioned":["2018-05-08T13:25:23Z"],"dc:date.available":["2026-05-16T03:05:29Z"],"dc:date.issued":["1989-06"],"dc:description.abstract":["This work presents a solution, by the Finite Element Method, for non-linear asymptotic analysis of elastic stability for space frames under conservative loads. The general non-linear equilibrium and critical equilibrium equations are obtained through a Lagrangian formulation, by analysing the variation of the total potential energy resulting from incremental displacements. The perturbation technique in a matrix form allows asymptotic approaches of primary and secondaries paths, to be calculated in an adequate form for computational purposes. The linearized critical equilibrium analysis is used in an alternative plus consistent form, yielding critical loads and modes that are usually better approximations than those from a conventional procedure. As a consequence of the asymptotic expantions, an automatic selection of a reduced number of modes is obtained for the non-linear model analysis, which also permits the study of the influence of small geometric imperfections."],"dc:identifier.uri":["http://hdl.handle.net/11422/3930"],"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":["Engenharia Civil"],"dc:title":["Análise modal assintótica da estabilidade de estruturas reticuladas espaciais"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:16:10Z"}