{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/101597"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/101597","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Optimal distribution of the relaxation behavior of linear viscoelastic materials by the particle swarm optimization method applied to the problem of a twisting shaft","abstract":"With rise of new manufacturing techniques such as additive manufacturing, there has been an increase in attention in designing components with distributed material properties. Utilizing the benefits of compliant mechanics, a strategic distribution of the relaxation behavior of linear viscoelastic materials was proposed. The motivation of this research is to outline a mathematical/computational framework for the material distribution optimization problem of a linear viscoelastic material. The distribution of the relaxation behavior (coefficients of the Prony series expansion) across the system was obtained to achieve a target performance of the dynamic system by the particle swarm optimization (PSO) method. The (PSO) method was applied to a simple fixed shaft to demonstrate the improvement in the structural response of the system and convergence capability of the method. While the simulations showed great improvements in the structural response, the lack of thorough search of the solution space to keep the computation time within a reasonable time frame meant that the method was unable to determine confidently the reaching of a global minimum. Additionally, the time for convergence increased with the increase of the number of nodes that were optimized. In order to confidently reach the global minimum within a reasonable time frame, the computational efficiency of the PSO method must be improved such that the particles can thoroughly search the entire solution space. Additionally, the inclusion of additional constraints to ensure the continuity of the moduli across neighboring nodes must be done for the actual construction of the design.","abstract_html":"With rise of new manufacturing techniques such as additive manufacturing, there has been an increase in attention in designing components with distributed material properties. Utilizing the benefits of compliant mechanics, a strategic distribution of the relaxation behavior of linear viscoelastic materials was proposed. The motivation of this research is to outline a mathematical/computational framework for the material distribution optimization problem of a linear viscoelastic material. The distribution of the relaxation behavior (coefficients of the Prony series expansion) across the system was obtained to achieve a target performance of the dynamic system by the particle swarm optimization (PSO) method. The (PSO) method was applied to a simple fixed shaft to demonstrate the improvement in the structural response of the system and convergence capability of the method. While the simulations showed great improvements in the structural response, the lack of thorough search of the solution space to keep the computation time within a reasonable time frame meant that the method was unable to determine confidently the reaching of a global minimum. Additionally, the time for convergence increased with the increase of the number of nodes that were optimized. In order to confidently reach the global minimum within a reasonable time frame, the computational efficiency of the PSO method must be improved such that the particles can thoroughly search the entire solution space. Additionally, the inclusion of additional constraints to ensure the continuity of the moduli across neighboring nodes must be done for the actual construction of the design.","abstract_has_math":false,"creators":["Saito, Yuta Steven"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Aerospace Engineering","degree_department":null,"school":null,"contributors":["Hilton, Harry H."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2018,"date_issued":"2018-09-27T16:17:55Z","date_published":"2018-09-27T16:17:55Z","updated_at":"2026-07-22T22:24:40Z","subjects":["Optimization methods, viscoelastic materials, functionally graded materials"],"languages":["en"],"rights":["Copyright 2018 Yuta Saito"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/101597","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Hilton, Harry H."]},{"key":"dc:creator","label":"Author","values":["Saito, Yuta Steven"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2018-09-27T16:17:55Z","2018-07-17","2018-08"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Aerospace 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":["Optimization methods, viscoelastic materials, functionally graded materials"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2018 Yuta Saito"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/101597"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["With rise of new manufacturing techniques such as additive manufacturing, there has been an increase in attention in designing components with distributed material properties. Utilizing the benefits of compliant mechanics, a strategic distribution of the relaxation behavior of linear viscoelastic materials was proposed. The motivation of this research is to outline a mathematical/computational framework for the material distribution optimization problem of a linear viscoelastic material. The distribution of the relaxation behavior (coefficients of the Prony series expansion) across the system was obtained to achieve a target performance of the dynamic system by the particle swarm optimization (PSO) method. The (PSO) method was applied to a simple fixed shaft to demonstrate the improvement in the structural response of the system and convergence capability of the method. While the simulations showed great improvements in the structural response, the lack of thorough search of the solution space to keep the computation time within a reasonable time frame meant that the method was unable to determine confidently the reaching of a global minimum. Additionally, the time for convergence increased with the increase of the number of nodes that were optimized. In order to confidently reach the global minimum within a reasonable time frame, the computational efficiency of the PSO method must be improved such that the particles can thoroughly search the entire solution space. Additionally, the inclusion of additional constraints to ensure the continuity of the moduli across neighboring nodes must be done for the actual construction of the design.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-09-27 without embargo terms","The student, Yuta Saito, accepted the attached license on 2018-07-16 at 18:16.","The student, Yuta Saito, submitted this Thesis for approval on 2018-07-16 at 21:48.","This Thesis was approved for publication on 2018-07-17 at 10:28.","DSpace SAF Submission Ingestion Package generated from Vireo submission #12892 on 2018-09-27 at 10:48:50","Made available in DSpace on 2018-09-27T16:17:55Z (GMT). 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The motivation of this research is to outline a mathematical/computational framework for the material distribution optimization problem of a linear viscoelastic material. The distribution of the relaxation behavior (coefficients of the Prony series expansion) across the system was obtained to achieve a target performance of the dynamic system by the particle swarm optimization (PSO) method. The (PSO) method was applied to a simple fixed shaft to demonstrate the improvement in the structural response of the system and convergence capability of the method. While the simulations showed great improvements in the structural response, the lack of thorough search of the solution space to keep the computation time within a reasonable time frame meant that the method was unable to determine confidently the reaching of a global minimum. Additionally, the time for convergence increased with the increase of the number of nodes that were optimized. In order to confidently reach the global minimum within a reasonable time frame, the computational efficiency of the PSO method must be improved such that the particles can thoroughly search the entire solution space. Additionally, the inclusion of additional constraints to ensure the continuity of the moduli across neighboring nodes must be done for the actual construction of the design.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-09-27 without embargo terms","The student, Yuta Saito, accepted the attached license on 2018-07-16 at 18:16.","The student, Yuta Saito, submitted this Thesis for approval on 2018-07-16 at 21:48.","This Thesis was approved for publication on 2018-07-17 at 10:28.","DSpace SAF Submission Ingestion Package generated from Vireo submission #12892 on 2018-09-27 at 10:48:50","Made available in DSpace on 2018-09-27T16:17:55Z (GMT). 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