{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/23332"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/23332","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"The dynamic stability characteristics of damage-prone systems","abstract":"The behavior of a simple mechanical system, experiencing large deformations and inelastic material response with damage, is presented. Because the differential equations that describe the motion are highly nonlinear and coupled for the multi-degree-of-freedom system, a numerical procedure was employed to determine the response. While most engineering approaches to the design of such systems utilize a static approach, results from this research indicate that static analyses cannot effectively predict the behavior of a dynamic, damage-prone system. Most importantly, the rate of damage accumulation will have the greatest impact on the stability properties of the system. In fact, for certain load cases, a system that accrues more damage may be less prone to instability than a system that suffers little damage. For this research, it was assumed that damage caused a reduction in the stiffness such that the structure experienced cyclic softening with increased cycles of loading. Application of the results to seismic-resistant design was considered.","abstract_html":"The behavior of a simple mechanical system, experiencing large deformations and inelastic material response with damage, is presented. Because the differential equations that describe the motion are highly nonlinear and coupled for the multi-degree-of-freedom system, a numerical procedure was employed to determine the response. While most engineering approaches to the design of such systems utilize a static approach, results from this research indicate that static analyses cannot effectively predict the behavior of a dynamic, damage-prone system. Most importantly, the rate of damage accumulation will have the greatest impact on the stability properties of the system. In fact, for certain load cases, a system that accrues more damage may be less prone to instability than a system that suffers little damage. For this research, it was assumed that damage caused a reduction in the stiffness such that the structure experienced cyclic softening with increased cycles of loading. Application of the results to seismic-resistant design was considered.","abstract_has_math":false,"creators":["Williamson, Eric Brian"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Civil and Environmental Engineering","degree_department":null,"school":null,"contributors":["Hjelmstad, Keith D."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T14:10:23Z","date_published":"2011-05-07T14:10:23Z","updated_at":"2026-07-22T22:25:21Z","subjects":["Applied Mechanics","Engineering, Civil"],"languages":["eng"],"rights":["Copyright 1996 Williamson, Eric Brian"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["9780591089141","AAI9702715","(UMI)AAI9702715"],"render_values":[{"text":"9780591089141","href":null,"code":true},{"text":"AAI9702715","href":null,"code":true},{"text":"(UMI)AAI9702715","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/23332","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Hjelmstad, Keith D."]},{"key":"dc:creator","label":"Author","values":["Williamson, Eric Brian"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T14:10:23Z","10000-01-01","1996"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Civil and Environmental Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"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":["Applied Mechanics","Engineering, Civil"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1996 Williamson, Eric Brian"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["9780591089141","AAI9702715","(UMI)AAI9702715","http://hdl.handle.net/2142/23332"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The behavior of a simple mechanical system, experiencing large deformations and inelastic material response with damage, is presented. Because the differential equations that describe the motion are highly nonlinear and coupled for the multi-degree-of-freedom system, a numerical procedure was employed to determine the response. While most engineering approaches to the design of such systems utilize a static approach, results from this research indicate that static analyses cannot effectively predict the behavior of a dynamic, damage-prone system. Most importantly, the rate of damage accumulation will have the greatest impact on the stability properties of the system. In fact, for certain load cases, a system that accrues more damage may be less prone to instability than a system that suffers little damage. For this research, it was assumed that damage caused a reduction in the stiffness such that the structure experienced cyclic softening with increased cycles of loading. Application of the results to seismic-resistant design was considered.","Made available in DSpace on 2011-05-07T14:10:23Z (GMT). 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Because the differential equations that describe the motion are highly nonlinear and coupled for the multi-degree-of-freedom system, a numerical procedure was employed to determine the response. While most engineering approaches to the design of such systems utilize a static approach, results from this research indicate that static analyses cannot effectively predict the behavior of a dynamic, damage-prone system. Most importantly, the rate of damage accumulation will have the greatest impact on the stability properties of the system. In fact, for certain load cases, a system that accrues more damage may be less prone to instability than a system that suffers little damage. For this research, it was assumed that damage caused a reduction in the stiffness such that the structure experienced cyclic softening with increased cycles of loading. Application of the results to seismic-resistant design was considered.","Made available in DSpace on 2011-05-07T14:10:23Z (GMT). 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