{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/2953"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/2953","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Implementação do cálculo do Fator de Cholesky diretamente a partir da matriz de rigidez do elemento estrutural","abstract":"In a static analysis the unknowns may be found by rneans of obtaining a factor of the stiffness matrix of the structure. The most popular solution method involves the transformation of this matrix into an upper triangular matrix, the Cholesky factor. Here, it is shown how this factor may be obtained directly from the factor of the elemental stiffness matrix and a representative factor of the structural matrix. The results from the computers program which was developed for the new method have garanteed its precision and the advantage of employing it to solve ill-conditioned problems. The basic ideas of this formulation were developed in Germany by other authors for the ASKA system. These ideas have been worked up here, an automatic program has been obtained for bearn and triangular finite elements and some suggestions are given for the further development of the new method.","abstract_html":"In a static analysis the unknowns may be found by rneans of obtaining a factor of the stiffness matrix of the structure. The most popular solution method involves the transformation of this matrix into an upper triangular matrix, the Cholesky factor. Here, it is shown how this factor may be obtained directly from the factor of the elemental stiffness matrix and a representative factor of the structural matrix. The results from the computers program which was developed for the new method have garanteed its precision and the advantage of employing it to solve ill-conditioned problems. The basic ideas of this formulation were developed in Germany by other authors for the ASKA system. These ideas have been worked up here, an automatic program has been obtained for bearn and triangular finite elements and some suggestions are given for the further development of the new method.","abstract_has_math":false,"creators":["Prates, Carlos Leopoldo Martins"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Soriano, Humberto Lima"],"committee_chairs":[],"committee_members":[],"year":1979,"date_issued":"1979-02","date_published":"1979-02","updated_at":"2026-07-24T01:15:56Z","subjects":["Instabilidade estrutural","Análise não linear de estruturas"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/2953","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Soriano, Humberto Lima"]},{"key":"dc:creator","label":"Author","values":["Prates, Carlos Leopoldo Martins"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2017-09-29T14:33:02Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:04:03Z"]},{"key":"dc:date.issued","label":"Date","values":["1979-02"]},{"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":["Instabilidade estrutural","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/11422/2953"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In a static analysis the unknowns may be found by rneans of obtaining a factor of the stiffness matrix of the structure. The most popular solution method involves the transformation of this matrix into an upper triangular matrix, the Cholesky factor. Here, it is shown how this factor may be obtained directly from the factor of the elemental stiffness matrix and a representative factor of the structural matrix. The results from the computers program which was developed for the new method have garanteed its precision and the advantage of employing it to solve ill-conditioned problems. The basic ideas of this formulation were developed in Germany by other authors for the ASKA system. These ideas have been worked up here, an automatic program has been obtained for bearn and triangular finite elements and some suggestions are given for the further development of the new method."]},{"key":"dc:title","label":"Title","values":["Implementação do cálculo do Fator de Cholesky diretamente a partir da matriz de rigidez do elemento estrutural"]}]}],"canonical_facts":{"dc:contributor.advisor":["Soriano, Humberto Lima"],"dc:creator":["Prates, Carlos Leopoldo Martins"],"dc:date.accessioned":["2017-09-29T14:33:02Z"],"dc:date.available":["2026-05-16T03:04:03Z"],"dc:date.issued":["1979-02"],"dc:description.abstract":["In a static analysis the unknowns may be found by rneans of obtaining a factor of the stiffness matrix of the structure. The most popular solution method involves the transformation of this matrix into an upper triangular matrix, the Cholesky factor. Here, it is shown how this factor may be obtained directly from the factor of the elemental stiffness matrix and a representative factor of the structural matrix. The results from the computers program which was developed for the new method have garanteed its precision and the advantage of employing it to solve ill-conditioned problems. The basic ideas of this formulation were developed in Germany by other authors for the ASKA system. These ideas have been worked up here, an automatic program has been obtained for bearn and triangular finite elements and some suggestions are given for the further development of the new method."],"dc:identifier.uri":["http://hdl.handle.net/11422/2953"],"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":["Instabilidade estrutural","Análise não linear de estruturas"],"dc:title":["Implementação do cálculo do Fator de Cholesky diretamente a partir da matriz de rigidez do elemento estrutural"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:15:56Z"}