{"id":{"repo_id":"unlv","oai_identifier":"oai:oasis.library.unlv.edu:rtds-1172"},"canonical_url":"https://search.dev.ndltd.org/etd/unlv/oai:oasis.library.unlv.edu:rtds-1172","repository":{"repo_id":"unlv","name":"University of Nevada - Las Vegas","base_url":"https://oasis.library.unlv.edu/do/oai/"},"display":{"title":"Mathematical modeling, trajectory and vibrations control of a three link flexible robot","abstract":"The objective of this thesis is to study the dynamics and control of a three link flexible robot. The Lagrange equations are used for deriving the equations of motion of this three link flexible robot. The equations of motion of this robot are derived by using a mathematical and symbolic manipulation software known as MACSYMA. The vibration mode shapes are approximated by using assumed mode method. A PID 'proportional, integral and differential' controller is used in this system to control the input torques to obtain desired joint angles trajectory. Linear stabilizers are introduced to suppress the vibrations of the links in both in plane and out of plane directions. Pole placement technique is used to place the poles and find the appropriate feed back gains of the dynamic system.","abstract_html":"The objective of this thesis is to study the dynamics and control of a three link flexible robot. The Lagrange equations are used for deriving the equations of motion of this three link flexible robot. The equations of motion of this robot are derived by using a mathematical and symbolic manipulation software known as MACSYMA. The vibration mode shapes are approximated by using assumed mode method. A PID 'proportional, integral and differential' controller is used in this system to control the input torques to obtain desired joint angles trajectory. Linear stabilizers are introduced to suppress the vibrations of the links in both in plane and out of plane directions. Pole placement technique is used to place the poles and find the appropriate feed back gains of the dynamic system.","abstract_has_math":false,"creators":["Jupudi, Satish"],"institution":"University of Nevada, Las Vegas","degree_name":"Master of Science (MS)","degree_level":"Thesis","degree_discipline":"Mechanical Engineering","degree_department":null,"school":null,"contributors":["Mohamed Trabia"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1992,"date_issued":"1992-01-01T08:00:00Z","date_published":"1992-01-01T08:00:00Z","updated_at":"2026-07-24T05:24:15Z","subjects":[],"languages":["English"],"rights":["IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["https://oasis.library.unlv.edu/rtds/173"],"render_values":[{"text":"https://oasis.library.unlv.edu/rtds/173","href":"https://oasis.library.unlv.edu/rtds/173","code":true}]}]},"links":{"outbound_url":"https://doi.org/10.25669/4pq0-lqbk","outbound_label":"DOI","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Mohamed Trabia"]},{"key":"dc:creator","label":"Author","values":["Jupudi, Satish"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:publisher","label":"Institution","values":["University of Nevada, Las Vegas"]},{"key":"dc:type","label":"Dc Type","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science (MS)"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]},{"key":"dc:rights","label":"Dc Rights","values":["IN COPYRIGHT. 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A PID 'proportional, integral and differential' controller is used in this system to control the input torques to obtain desired joint angles trajectory. Linear stabilizers are introduced to suppress the vibrations of the links in both in plane and out of plane directions. Pole placement technique is used to place the poles and find the appropriate feed back gains of the dynamic system."]},{"key":"dc:format","label":"Dc Format","values":["pdf"]},{"key":"dc:title","label":"Title","values":["Mathematical modeling, trajectory and vibrations control of a three link flexible robot"]}]}],"canonical_facts":{"dc:contributor":["Mohamed Trabia"],"dc:creator":["Jupudi, Satish"],"dc:description.abstract":["The objective of this thesis is to study the dynamics and control of a three link flexible robot. The Lagrange equations are used for deriving the equations of motion of this three link flexible robot. The equations of motion of this robot are derived by using a mathematical and symbolic manipulation software known as MACSYMA. The vibration mode shapes are approximated by using assumed mode method. A PID 'proportional, integral and differential' controller is used in this system to control the input torques to obtain desired joint angles trajectory. Linear stabilizers are introduced to suppress the vibrations of the links in both in plane and out of plane directions. Pole placement technique is used to place the poles and find the appropriate feed back gains of the dynamic system."],"dc:format":["pdf"],"dc:identifier":["10.25669/4pq0-lqbk","https://oasis.library.unlv.edu/rtds/173","https://oasis.library.unlv.edu/context/rtds/article/1172/viewcontent/uc.pdf"],"dc:language":["English"],"dc:publisher":["University of Nevada, Las Vegas"],"dc:rights":["IN COPYRIGHT. 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