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The method of treatment of the problem, permits a determination of any of the natural frequencies using automatic programming because it does not limit the number of terms of the serie solution to be used.","abstract_has_math":false,"creators":["Oliveira, Carlos Frederico da Silveira"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Gomes, Paulo Alcântara"],"committee_chairs":[],"committee_members":[],"year":1969,"date_issued":"1969-12","date_published":"1969-12","updated_at":"2026-07-24T01:15:59Z","subjects":["Vigas","Dinâmica","Vibrações"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/3375","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Gomes, Paulo Alcântara"]},{"key":"dc:creator","label":"Author","values":["Oliveira, Carlos Frederico da Silveira"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-01-03T13:42:33Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:04:24Z"]},{"key":"dc:date.issued","label":"Date","values":["1969-12"]},{"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","Dinâmica","Vibrações"]}]},{"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/11422/3375"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["This work deals with the problem of the determination of the natural frequencies of transverse vibrations of beams of variable cross section, in particular beams with section heigh varying according to a polynbmial law. Ritz method is used for the determinátion of the natural frequencies, dueto its rapid convergence. The method of treatment of the problem, permits a determination of any of the natural frequencies using automatic programming because it does not limit the number of terms of the serie solution to be used."]},{"key":"dc:title","label":"Title","values":["Vibrações livres de viga de seção transversal variável"]}]}],"canonical_facts":{"dc:contributor.advisor":["Gomes, Paulo Alcântara"],"dc:creator":["Oliveira, Carlos Frederico da Silveira"],"dc:date.accessioned":["2018-01-03T13:42:33Z"],"dc:date.available":["2026-05-16T03:04:24Z"],"dc:date.issued":["1969-12"],"dc:description.abstract":["This work deals with the problem of the determination of the natural frequencies of transverse vibrations of beams of variable cross section, in particular beams with section heigh varying according to a polynbmial law. 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