{"id":"https://openalex.org/W1988310672","doi":"https://doi.org/10.1145/1529282.1529544","title":"Sources of error in a rigid body simulation of rigid parts on a vibrating rigid plate","display_name":"Sources of error in a rigid body simulation of rigid parts on a vibrating rigid plate","publication_year":2009,"publication_date":"2009-03-08","ids":{"openalex":"https://openalex.org/W1988310672","doi":"https://doi.org/10.1145/1529282.1529544","mag":"1988310672"},"language":"en","primary_location":{"id":"doi:10.1145/1529282.1529544","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1529282.1529544","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2009 ACM symposium on Applied Computing","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003560104","display_name":"Stephen Berard","orcid":null},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephen Berard","raw_affiliation_strings":["Rensselaer Polytechnic Institute, Troy, NY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rensselaer Polytechnic Institute, Troy, NY","institution_ids":["https://openalex.org/I165799507"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091142923","display_name":"Binh P. Nguyen","orcid":"https://orcid.org/0000-0001-6203-6664"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Binh Nguyen","raw_affiliation_strings":["Rensselaer Polytechnic Institute, Troy, NY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rensselaer Polytechnic Institute, Troy, NY","institution_ids":["https://openalex.org/I165799507"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032562243","display_name":"Jeff Trinkle","orcid":"https://orcid.org/0000-0002-9877-2003"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. C. Trinkle","raw_affiliation_strings":["Rensselaer Polytechnic Institute, Troy, NY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rensselaer Polytechnic Institute, Troy, NY","institution_ids":["https://openalex.org/I165799507"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I165799507"],"apc_list":null,"apc_paid":null,"fwci":0.602,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.56290635,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1181","last_page":"1185"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rigid-body","display_name":"Rigid body","score":0.8695340156555176},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6709126234054565},{"id":"https://openalex.org/keywords/rigid-body-dynamics","display_name":"Rigid body dynamics","score":0.638917088508606},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5565139651298523},{"id":"https://openalex.org/keywords/computer-simulation","display_name":"Computer simulation","score":0.4969978630542755},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.46184131503105164},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4407997727394104},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.32265377044677734},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3134353756904602},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31063517928123474},{"id":"https://openalex.org/keywords/simulation","display_name":"Simulation","score":0.2801055312156677}],"concepts":[{"id":"https://openalex.org/C145980571","wikidata":"https://www.wikidata.org/wiki/Q192788","display_name":"Rigid body","level":2,"score":0.8695340156555176},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6709126234054565},{"id":"https://openalex.org/C28461519","wikidata":"https://www.wikidata.org/wiki/Q2037529","display_name":"Rigid body dynamics","level":3,"score":0.638917088508606},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5565139651298523},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.4969978630542755},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.46184131503105164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4407997727394104},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.32265377044677734},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3134353756904602},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31063517928123474},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.2801055312156677},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1529282.1529544","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1529282.1529544","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2009 ACM symposium on Applied Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W70650894","https://openalex.org/W1543439990","https://openalex.org/W1981903075","https://openalex.org/W1995354929","https://openalex.org/W2000151369","https://openalex.org/W2007677977","https://openalex.org/W2064488391","https://openalex.org/W2078552451","https://openalex.org/W2085897137","https://openalex.org/W2093990123","https://openalex.org/W2113019057","https://openalex.org/W2125287741","https://openalex.org/W2144214034","https://openalex.org/W2153803890"],"related_works":["https://openalex.org/W1547662599","https://openalex.org/W4233673530","https://openalex.org/W2329279984","https://openalex.org/W1662187412","https://openalex.org/W631019632","https://openalex.org/W2115700596","https://openalex.org/W4388787450","https://openalex.org/W1976207657","https://openalex.org/W3143035111","https://openalex.org/W4285253205"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,19,23,32,55],"simulation":[3,81,110,163],"study":[4],"of":[5,18,36,63,101,108,134,173],"an":[6],"important":[7],"rigid":[8,20,25],"body":[9,26],"contact":[10],"problem.":[11],"The":[12,29],"system":[13],"in":[14,60,77,155],"question":[15],"is":[16],"composed":[17],"plate":[21,30],"and":[22,39,148,160,170],"single":[24],"(or":[27],"particle).":[28],"follows":[31],"prescribed":[33],"periodic":[34],"motion":[35],"small":[37],"amplitude":[38],"high":[40],"frequency,":[41],"such":[42,106],"that":[43,117,165],"the":[44,49,61,64,85,97,109,132,135,156,168],"net":[45],"force":[46],"applied":[47],"to":[48,52,75,94,122,130,158],"part":[50],"appears":[51],"be":[53,76,152],"from":[54],"time-independent,":[56],"position-dependent":[57],"velocity":[58],"field":[59],"plane":[62],"plate.":[65],"Theoretical":[66],"results":[67,82,100],"obtained":[68,83],"by":[69,144],"Vose":[70,102],"et":[71,103],"al.":[72,104],"were":[73,92,115,128],"found":[74,93],"good":[78],"agreement":[79],"with":[80,84,96,137],"Stewart-Trinkle":[86],"time-stepping":[87],"method.":[88],"In":[89],"addition,":[90],"simulations":[91],"agree":[95],"qualitative":[98],"experimental":[99],"After":[105],"verification":[107],"method,":[111],"additional":[112],"numerical":[113,149],"studies":[114,150],"done":[116],"would":[118],"have":[119],"been":[120],"impossible":[121],"carry":[123],"out":[124,154],"analytically.":[125],"Specifically,":[126],"we":[127],"able":[129],"demonstrate":[131],"convergence":[133],"method":[136],"decreasing":[138],"step":[139],"size":[140],"(as":[141],"predicted":[142],"theoretically":[143],"Stewart).":[145],"Further":[146],"analytical":[147],"will":[151],"carried":[153],"future":[157],"develop":[159],"select":[161],"robust":[162],"methods":[164],"best":[166],"satisfy":[167],"speed":[169],"accuracy":[171],"requirements":[172],"different":[174],"applications.":[175]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}