{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/73030"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/73030","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"An implementation of the ground structure method considering buckling and nodal instabilities","abstract":"The ground structure method is used to find an optimal solution for the layout optimization problem. The problem domain is discretized with a union of highly connected members, which is called a ground structure. The objective typically is to minimize the total volume of material while satisfying nodal equilibrium constraint and predefined stress limits (plastic formulation). However, such approach may lead to very slender members and unstable nodes that might cause instability issues. This thesis presents the implementation of the ground structure method involving instability consideration. The plastic formulation is implemented considering buckling constraint and nodal instability constraint either in isolation or in combination. The Euler buckling criteria is taken as the buckling constraint in the implementation with local instability consideration. The nominal lateral force method is used in the implementation involving nodal instability consideration. Moreover, the efficiency of the nonlinear programming is addressed. Several numerical examples are presented to illustrate the features of the implementation.","abstract_html":"The ground structure method is used to find an optimal solution for the layout optimization problem. The problem domain is discretized with a union of highly connected members, which is called a ground structure. The objective typically is to minimize the total volume of material while satisfying nodal equilibrium constraint and predefined stress limits (plastic formulation). However, such approach may lead to very slender members and unstable nodes that might cause instability issues. This thesis presents the implementation of the ground structure method involving instability consideration. The plastic formulation is implemented considering buckling constraint and nodal instability constraint either in isolation or in combination. The Euler buckling criteria is taken as the buckling constraint in the implementation with local instability consideration. The nominal lateral force method is used in the implementation involving nodal instability consideration. Moreover, the efficiency of the nonlinear programming is addressed. Several numerical examples are presented to illustrate the features of the implementation.","abstract_has_math":false,"creators":["Zhao, Tuo"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Civil Engineering","degree_department":null,"school":null,"contributors":["Paulino, Glaucio"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-01-21T19:56:13Z","date_published":"2015-01-21T19:56:13Z","updated_at":"2026-07-22T22:26:07Z","subjects":["Ground structure","Topology optimization","Buckling","Nodal instability"],"languages":["en"],"rights":["Copyright 2014 Tuo Zhao"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/73030","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Paulino, Glaucio"]},{"key":"dc:creator","label":"Author","values":["Zhao, Tuo"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-01-21T19:56:13Z","2017-01-22T10:15:37Z","2014-12","2015-01-21"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Civil Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Ground structure","Topology optimization","Buckling","Nodal instability"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2014 Tuo Zhao"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/73030"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The ground structure method is used to find an optimal solution for the layout optimization problem. The problem domain is discretized with a union of highly connected members, which is called a ground structure. The objective typically is to minimize the total volume of material while satisfying nodal equilibrium constraint and predefined stress limits (plastic formulation). However, such approach may lead to very slender members and unstable nodes that might cause instability issues. This thesis presents the implementation of the ground structure method involving instability consideration. The plastic formulation is implemented considering buckling constraint and nodal instability constraint either in isolation or in combination. The Euler buckling criteria is taken as the buckling constraint in the implementation with local instability consideration. The nominal lateral force method is used in the implementation involving nodal instability consideration. Moreover, the efficiency of the nonlinear programming is addressed. Several numerical examples are presented to illustrate the features of the implementation.","Item withdrawn by Laura Spradlin (lspradl2@illinois.edu) on 2014-12-12T20:18:45Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Zhao Tuo.docx: 12117829 bytes, checksum: 8474aeeb1e47b5104a4bc13019212e3c (MD5) Zhao_Tuo.pdf: 2080386 bytes, checksum: 6c8cce1a15fcdfbf094b8a70443523f7 (MD5)","Made available in DSpace on 2015-01-21T19:56:13Z (GMT). No. of bitstreams: 2 Tuo_Zhao.pdf: 2080386 bytes, checksum: 6c8cce1a15fcdfbf094b8a70443523f7 (MD5) Zhao Tuo.docx: 12117829 bytes, checksum: 8474aeeb1e47b5104a4bc13019212e3c (MD5)","Embargo set by: Seth Robbins for item 73219 Lift date: 2017-01-21T19:56:18Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system","U of I Only Restriction Lifted for Item 73219 on 2017-01-22T10:15:37Z."]},{"key":"dc:title","label":"Title","values":["An implementation of the ground structure method considering buckling and nodal instabilities"]}]}],"canonical_facts":{"dc:contributor":["Paulino, Glaucio"],"dc:creator":["Zhao, Tuo"],"dc:date":["2015-01-21T19:56:13Z","2017-01-22T10:15:37Z","2014-12","2015-01-21"],"dc:description":["The ground structure method is used to find an optimal solution for the layout optimization problem. The problem domain is discretized with a union of highly connected members, which is called a ground structure. The objective typically is to minimize the total volume of material while satisfying nodal equilibrium constraint and predefined stress limits (plastic formulation). However, such approach may lead to very slender members and unstable nodes that might cause instability issues. This thesis presents the implementation of the ground structure method involving instability consideration. The plastic formulation is implemented considering buckling constraint and nodal instability constraint either in isolation or in combination. The Euler buckling criteria is taken as the buckling constraint in the implementation with local instability consideration. The nominal lateral force method is used in the implementation involving nodal instability consideration. Moreover, the efficiency of the nonlinear programming is addressed. Several numerical examples are presented to illustrate the features of the implementation.","Item withdrawn by Laura Spradlin (lspradl2@illinois.edu) on 2014-12-12T20:18:45Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Zhao Tuo.docx: 12117829 bytes, checksum: 8474aeeb1e47b5104a4bc13019212e3c (MD5) Zhao_Tuo.pdf: 2080386 bytes, checksum: 6c8cce1a15fcdfbf094b8a70443523f7 (MD5)","Made available in DSpace on 2015-01-21T19:56:13Z (GMT). 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