{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/65313"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/65313","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"An evaluation of time integration schemes in the solution of contact problems","abstract":"Contact analysis is an important branch of structural mechanics. The finite element method has become a major solution approach because of the high nonlinearities in contact problems. A large number of algorithms have been proposed and extensively used to solve engineering problems, but some issues have not been addressed yet. The first purpose of this research is to evaluate attempts to achieve accurate and practical time integration schemes for contact problems. Towards this aim, this study proposes an analytical form of the solutions using the time integration schemes that can be used in the evaluation of different methods. Then, a simple velocity- and acceleration-update process that is combined with the conventional time integration methods is proposed to suppress (as much as possible) spuriously generated energy during the contact events.","abstract_html":"Contact analysis is an important branch of structural mechanics. The finite element method has become a major solution approach because of the high nonlinearities in contact problems. A large number of algorithms have been proposed and extensively used to solve engineering problems, but some issues have not been addressed yet. The first purpose of this research is to evaluate attempts to achieve accurate and practical time integration schemes for contact problems. Towards this aim, this study proposes an analytical form of the solutions using the time integration schemes that can be used in the evaluation of different methods. Then, a simple velocity- and acceleration-update process that is combined with the conventional time integration methods is proposed to suppress (as much as possible) spuriously generated energy during the contact events.","abstract_has_math":false,"creators":["Noh, Gunwoo"],"institution":"Massachusetts Institute of Technology","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Massachusetts Institute of Technology. Dept. of Mechanical Engineering.","school":null,"contributors":[],"advisors":["Klaus-Jirgen Bathe."],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011","date_published":"2011","updated_at":"2026-07-22T22:22:07Z","subjects":["Mechanical Engineering."],"languages":["eng"],"rights":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."],"rights_urls":["http://dspace.mit.edu/handle/1721.1/7582"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/1721.1/65313","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Klaus-Jirgen Bathe."]},{"key":"dc:contributor.department","label":"Department","values":["Massachusetts Institute of Technology. Dept. of Mechanical Engineering."]},{"key":"dc:contributor.other","label":"Dc Contributor Other","values":["Massachusetts Institute of Technology. Dept. of Mechanical Engineering."]},{"key":"dc:creator","label":"Author","values":["Noh, Gunwoo"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2011-08-18T19:17:18Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2011-08-18T19:17:18Z"]},{"key":"dc:date.issued","label":"Date","values":["2011"]},{"key":"dc:publisher","label":"Institution","values":["Massachusetts Institute of Technology"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mechanical Engineering."]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://dspace.mit.edu/handle/1721.1/7582"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1721.1/65313"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2011.","Cataloged from PDF version of thesis.","Includes bibliographical references (p. 65-66)."]},{"key":"dc:description.abstract","label":"Abstract","values":["Contact analysis is an important branch of structural mechanics. The finite element method has become a major solution approach because of the high nonlinearities in contact problems. A large number of algorithms have been proposed and extensively used to solve engineering problems, but some issues have not been addressed yet. The first purpose of this research is to evaluate attempts to achieve accurate and practical time integration schemes for contact problems. Towards this aim, this study proposes an analytical form of the solutions using the time integration schemes that can be used in the evaluation of different methods. Then, a simple velocity- and acceleration-update process that is combined with the conventional time integration methods is proposed to suppress (as much as possible) spuriously generated energy during the contact events."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["S.M."]},{"key":"dc:title","label":"Title","values":["An evaluation of time integration schemes in the solution of contact problems"]}]}],"canonical_facts":{"dc:contributor.advisor":["Klaus-Jirgen Bathe."],"dc:contributor.department":["Massachusetts Institute of Technology. Dept. of Mechanical Engineering."],"dc:contributor.other":["Massachusetts Institute of Technology. Dept. of Mechanical Engineering."],"dc:creator":["Noh, Gunwoo"],"dc:date.accessioned":["2011-08-18T19:17:18Z"],"dc:date.available":["2011-08-18T19:17:18Z"],"dc:date.issued":["2011"],"dc:description":["Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2011.","Cataloged from PDF version of thesis.","Includes bibliographical references (p. 65-66)."],"dc:description.abstract":["Contact analysis is an important branch of structural mechanics. The finite element method has become a major solution approach because of the high nonlinearities in contact problems. A large number of algorithms have been proposed and extensively used to solve engineering problems, but some issues have not been addressed yet. The first purpose of this research is to evaluate attempts to achieve accurate and practical time integration schemes for contact problems. Towards this aim, this study proposes an analytical form of the solutions using the time integration schemes that can be used in the evaluation of different methods. Then, a simple velocity- and acceleration-update process that is combined with the conventional time integration methods is proposed to suppress (as much as possible) spuriously generated energy during the contact events."],"dc:description.degree":["S.M."],"dc:identifier.uri":["http://hdl.handle.net/1721.1/65313"],"dc:language.iso":["eng"],"dc:publisher":["Massachusetts Institute of Technology"],"dc:rights":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."],"dc:rights.uri":["http://dspace.mit.edu/handle/1721.1/7582"],"dc:subject":["Mechanical Engineering."],"dc:title":["An evaluation of time integration schemes in the solution of contact problems"],"dc:type":["Thesis"]},"updated_at":"2026-07-22T22:22:07Z"}