{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/2951"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/2951","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Formulações e métodos de solução na análise não-linear de treliças espaciais","abstract":"The main objective of this work is to examine the numerical performance of the Total Lagrangean and Updated Lagragean formulations for geometrically and materially nonlinear analysis of space trusses, and the most commonly used nonlinear equation solution algorithms. These formulations, and two others; are implemented in the ANALITE program. The Total Lagrangean and Updated Lagrangean formulations are developed based on general principles of continuum mechanics. They make possible the nonlinear analysis of large displacements and large deformations. The structure is discretizeted by the finite element method, using the displacement model. The solution of the nonlinear equation system can be carried out by several incremental procedures: Newton iteration type (Newton-Raphson and modified Newton-Raphson), conventional incremental, improved incremental, first-order self-correcting incremental, and some numerical integration techniques (fourth-order Runge-Kutta and Hamming's predictor-corrector). Several examples comparing the different possibilities of the program are presented and commented.","abstract_html":"The main objective of this work is to examine the numerical performance of the Total Lagrangean and Updated Lagragean formulations for geometrically and materially nonlinear analysis of space trusses, and the most commonly used nonlinear equation solution algorithms. These formulations, and two others; are implemented in the ANALITE program. The Total Lagrangean and Updated Lagrangean formulations are developed based on general principles of continuum mechanics. They make possible the nonlinear analysis of large displacements and large deformations. The structure is discretizeted by the finite element method, using the displacement model. The solution of the nonlinear equation system can be carried out by several incremental procedures: Newton iteration type (Newton-Raphson and modified Newton-Raphson), conventional incremental, improved incremental, first-order self-correcting incremental, and some numerical integration techniques (fourth-order Runge-Kutta and Hamming's predictor-corrector). Several examples comparing the different possibilities of the program are presented and commented.","abstract_has_math":false,"creators":["Codes, Rodrigo Amaral de"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Ebecken, Nelson Francisco Favilla"],"committee_chairs":[],"committee_members":[],"year":1978,"date_issued":"1978-12","date_published":"1978-12","updated_at":"2026-07-24T01:15:56Z","subjects":["Análise não-linear de estruturas","Treliças"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/2951","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Ebecken, Nelson Francisco Favilla"]},{"key":"dc:creator","label":"Author","values":["Codes, Rodrigo Amaral de"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2017-09-29T13:09:07Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:04:03Z"]},{"key":"dc:date.issued","label":"Date","values":["1978-12"]},{"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":["Análise não-linear de estruturas","Treliças"]}]},{"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/11422/2951"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The main objective of this work is to examine the numerical performance of the Total Lagrangean and Updated Lagragean formulations for geometrically and materially nonlinear analysis of space trusses, and the most commonly used nonlinear equation solution algorithms. These formulations, and two others; are implemented in the ANALITE program. The Total Lagrangean and Updated Lagrangean formulations are developed based on general principles of continuum mechanics. They make possible the nonlinear analysis of large displacements and large deformations. The structure is discretizeted by the finite element method, using the displacement model. The solution of the nonlinear equation system can be carried out by several incremental procedures: Newton iteration type (Newton-Raphson and modified Newton-Raphson), conventional incremental, improved incremental, first-order self-correcting incremental, and some numerical integration techniques (fourth-order Runge-Kutta and Hamming's predictor-corrector). Several examples comparing the different possibilities of the program are presented and commented."]},{"key":"dc:title","label":"Title","values":["Formulações e métodos de solução na análise não-linear de treliças espaciais"]}]}],"canonical_facts":{"dc:contributor.advisor":["Ebecken, Nelson Francisco Favilla"],"dc:creator":["Codes, Rodrigo Amaral de"],"dc:date.accessioned":["2017-09-29T13:09:07Z"],"dc:date.available":["2026-05-16T03:04:03Z"],"dc:date.issued":["1978-12"],"dc:description.abstract":["The main objective of this work is to examine the numerical performance of the Total Lagrangean and Updated Lagragean formulations for geometrically and materially nonlinear analysis of space trusses, and the most commonly used nonlinear equation solution algorithms. These formulations, and two others; are implemented in the ANALITE program. The Total Lagrangean and Updated Lagrangean formulations are developed based on general principles of continuum mechanics. They make possible the nonlinear analysis of large displacements and large deformations. The structure is discretizeted by the finite element method, using the displacement model. The solution of the nonlinear equation system can be carried out by several incremental procedures: Newton iteration type (Newton-Raphson and modified Newton-Raphson), conventional incremental, improved incremental, first-order self-correcting incremental, and some numerical integration techniques (fourth-order Runge-Kutta and Hamming's predictor-corrector). Several examples comparing the different possibilities of the program are presented and commented."],"dc:identifier.uri":["http://hdl.handle.net/11422/2951"],"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":["Análise não-linear de estruturas","Treliças"],"dc:title":["Formulações e métodos de solução na análise não-linear de treliças espaciais"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:15:56Z"}