{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/6409"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/6409","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Dinâmica e controle de caos de um sistema pendular com memória de forma","abstract":"This work deals with the dynamics and control of a pendulum system coupled with shape memory alloys (SMAs) springs. To construct the system’s dynamics a polynomial temperature dependent constitutive model for the SMA is employed. The system’s dynamics is characterized displaying a variety of responses like chaotic motion, transient chaos, coexisting periodic orbits and a variety of n-periodic orbits. All the behaviours are identified by their Lyapunov exponents. The extended time delay feedback technique is applied to control the system with two distinct types of controllers: a mechanical and a thermal. The stability of the orbits is identified using Floquet multipliers. Discussions about sub-harmonic orbits stability and the relation between energy consumption and the controller’s parameters are made. The thermal controller uses the thermomechanical behaviour of the SMA for actuation. The results display the usage possibility of SMA actuator on chaos control and shad light into the relation between the Floquet multipliers of an orbit and the ETDF control.","abstract_html":"This work deals with the dynamics and control of a pendulum system coupled with shape memory alloys (SMAs) springs. To construct the system’s dynamics a polynomial temperature dependent constitutive model for the SMA is employed. The system’s dynamics is characterized displaying a variety of responses like chaotic motion, transient chaos, coexisting periodic orbits and a variety of n-periodic orbits. All the behaviours are identified by their Lyapunov exponents. The extended time delay feedback technique is applied to control the system with two distinct types of controllers: a mechanical and a thermal. The stability of the orbits is identified using Floquet multipliers. Discussions about sub-harmonic orbits stability and the relation between energy consumption and the controller’s parameters are made. The thermal controller uses the thermomechanical behaviour of the SMA for actuation. The results display the usage possibility of SMA actuator on chaos control and shad light into the relation between the Floquet multipliers of an orbit and the ETDF control.","abstract_has_math":false,"creators":["Costa, Dimitri Danulussi Alves"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Savi, Marcelo Amorim"],"committee_chairs":[],"committee_members":[],"year":2017,"date_issued":"2017-02","date_published":"2017-02","updated_at":"2026-07-24T01:16:18Z","subjects":["Engenharia mecânica","Dinâmica não-linear","Controle de caos"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/6409","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Savi, Marcelo Amorim"]},{"key":"dc:creator","label":"Author","values":["Costa, Dimitri Danulussi Alves"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2019-02-07T16:44:25Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:01:29Z"]},{"key":"dc:date.issued","label":"Date","values":["2017-02"]},{"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":["Engenharia mecânica","Dinâmica não-linear","Controle de caos"]}]},{"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/11422/6409"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["This work deals with the dynamics and control of a pendulum system coupled with shape memory alloys (SMAs) springs. To construct the system’s dynamics a polynomial temperature dependent constitutive model for the SMA is employed. The system’s dynamics is characterized displaying a variety of responses like chaotic motion, transient chaos, coexisting periodic orbits and a variety of n-periodic orbits. All the behaviours are identified by their Lyapunov exponents. The extended time delay feedback technique is applied to control the system with two distinct types of controllers: a mechanical and a thermal. The stability of the orbits is identified using Floquet multipliers. Discussions about sub-harmonic orbits stability and the relation between energy consumption and the controller’s parameters are made. The thermal controller uses the thermomechanical behaviour of the SMA for actuation. The results display the usage possibility of SMA actuator on chaos control and shad light into the relation between the Floquet multipliers of an orbit and the ETDF control."]},{"key":"dc:title","label":"Title","values":["Dinâmica e controle de caos de um sistema pendular com memória de forma"]}]}],"canonical_facts":{"dc:contributor.advisor":["Savi, Marcelo Amorim"],"dc:creator":["Costa, Dimitri Danulussi Alves"],"dc:date.accessioned":["2019-02-07T16:44:25Z"],"dc:date.available":["2026-05-16T03:01:29Z"],"dc:date.issued":["2017-02"],"dc:description.abstract":["This work deals with the dynamics and control of a pendulum system coupled with shape memory alloys (SMAs) springs. To construct the system’s dynamics a polynomial temperature dependent constitutive model for the SMA is employed. The system’s dynamics is characterized displaying a variety of responses like chaotic motion, transient chaos, coexisting periodic orbits and a variety of n-periodic orbits. All the behaviours are identified by their Lyapunov exponents. The extended time delay feedback technique is applied to control the system with two distinct types of controllers: a mechanical and a thermal. The stability of the orbits is identified using Floquet multipliers. Discussions about sub-harmonic orbits stability and the relation between energy consumption and the controller’s parameters are made. The thermal controller uses the thermomechanical behaviour of the SMA for actuation. The results display the usage possibility of SMA actuator on chaos control and shad light into the relation between the Floquet multipliers of an orbit and the ETDF control."],"dc:identifier.uri":["http://hdl.handle.net/11422/6409"],"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 mecânica","Dinâmica não-linear","Controle de caos"],"dc:title":["Dinâmica e controle de caos de um sistema pendular com memória de forma"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:16:18Z"}