{"id":"https://openalex.org/W2134801739","doi":"https://doi.org/10.1177/0278364912461539","title":"Multiple impacts: A state transition diagram approach","display_name":"Multiple impacts: A state transition diagram approach","publication_year":2012,"publication_date":"2012-11-01","ids":{"openalex":"https://openalex.org/W2134801739","doi":"https://doi.org/10.1177/0278364912461539","mag":"2134801739"},"language":"en","primary_location":{"id":"doi:10.1177/0278364912461539","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0278364912461539","pdf_url":null,"source":{"id":"https://openalex.org/S73484101","display_name":"The International Journal of Robotics Research","issn_l":"0278-3649","issn":["0278-3649","1741-3176"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of Robotics Research","raw_type":"journal-article"},"type":"article","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/A5020782518","display_name":"Yan-Bin Jia","orcid":"https://orcid.org/0000-0002-0384-6058"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yan-Bin Jia","raw_affiliation_strings":["Department of Computer Science, Iowa State University, Ames, IA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Iowa State University, Ames, IA, USA","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002872886","display_name":"Matthew T. Mason","orcid":"https://orcid.org/0000-0002-2672-5689"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew T Mason","raw_affiliation_strings":["School of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103703859","display_name":"Michael Erdmann","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael A Erdmann","raw_affiliation_strings":["School of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020782518"],"corresponding_institution_ids":["https://openalex.org/I173911158"],"apc_list":null,"apc_paid":null,"fwci":4.5461,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.94637696,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"32","issue":"1","first_page":"84","last_page":"114"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T12435","display_name":"Bladed Disk Vibration Dynamics","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11799","display_name":"Adhesion, Friction, and Surface Interactions","score":0.9868000149726868,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/collision","display_name":"Collision","score":0.8022140860557556},{"id":"https://openalex.org/keywords/kinetic-energy","display_name":"Kinetic energy","score":0.5906344056129456},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5295936465263367},{"id":"https://openalex.org/keywords/coefficient-of-restitution","display_name":"Coefficient of restitution","score":0.48805367946624756},{"id":"https://openalex.org/keywords/collision-response","display_name":"Collision response","score":0.46479931473731995},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.46138954162597656},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44571802020072937},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.43153318762779236},{"id":"https://openalex.org/keywords/contact-force","display_name":"Contact force","score":0.42592957615852356},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3737347722053528},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.36011165380477905},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.34319382905960083},{"id":"https://openalex.org/keywords/simulation","display_name":"Simulation","score":0.3313734531402588},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3271252512931824},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3250598907470703},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3025504946708679},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29624828696250916},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2123977541923523},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.1800241470336914},{"id":"https://openalex.org/keywords/collision-detection","display_name":"Collision detection","score":0.1443706452846527}],"concepts":[{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.8022140860557556},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.5906344056129456},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5295936465263367},{"id":"https://openalex.org/C5364694","wikidata":"https://www.wikidata.org/wiki/Q1143011","display_name":"Coefficient of restitution","level":2,"score":0.48805367946624756},{"id":"https://openalex.org/C177299277","wikidata":"https://www.wikidata.org/wiki/Q5147505","display_name":"Collision response","level":4,"score":0.46479931473731995},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.46138954162597656},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44571802020072937},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.43153318762779236},{"id":"https://openalex.org/C81302111","wikidata":"https://www.wikidata.org/wiki/Q2916417","display_name":"Contact force","level":2,"score":0.42592957615852356},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3737347722053528},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.36011165380477905},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.34319382905960083},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.3313734531402588},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3271252512931824},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3250598907470703},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3025504946708679},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29624828696250916},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2123977541923523},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.1800241470336914},{"id":"https://openalex.org/C199668693","wikidata":"https://www.wikidata.org/wiki/Q1550329","display_name":"Collision detection","level":3,"score":0.1443706452846527},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1177/0278364912461539","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0278364912461539","pdf_url":null,"source":{"id":"https://openalex.org/S73484101","display_name":"The International Journal of Robotics Research","issn_l":"0278-3649","issn":["0278-3649","1741-3176"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of Robotics Research","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.636.2720","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.636.2720","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.iastate.edu/~jia/papers/IJRR13b.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.6600000262260437,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W10776118","https://openalex.org/W47556920","https://openalex.org/W130172947","https://openalex.org/W137023867","https://openalex.org/W161063010","https://openalex.org/W566471510","https://openalex.org/W1514487078","https://openalex.org/W1545897588","https://openalex.org/W1559129264","https://openalex.org/W1561313149","https://openalex.org/W1573365679","https://openalex.org/W1581489763","https://openalex.org/W1762028192","https://openalex.org/W1763866531","https://openalex.org/W1969585433","https://openalex.org/W1972243722","https://openalex.org/W1972888932","https://openalex.org/W1976946986","https://openalex.org/W1980871186","https://openalex.org/W1983240434","https://openalex.org/W1983725613","https://openalex.org/W1984563958","https://openalex.org/W1992880717","https://openalex.org/W1993906720","https://openalex.org/W1999447019","https://openalex.org/W2023845476","https://openalex.org/W2029294123","https://openalex.org/W2047671468","https://openalex.org/W2051890856","https://openalex.org/W2052670168","https://openalex.org/W2059408607","https://openalex.org/W2059546105","https://openalex.org/W2066401364","https://openalex.org/W2075014363","https://openalex.org/W2085897137","https://openalex.org/W2089180409","https://openalex.org/W2091626090","https://openalex.org/W2096219633","https://openalex.org/W2097088010","https://openalex.org/W2105240734","https://openalex.org/W2111281667","https://openalex.org/W2118762796","https://openalex.org/W2148011943","https://openalex.org/W2151122988","https://openalex.org/W2158002784","https://openalex.org/W2160555037","https://openalex.org/W2161427949","https://openalex.org/W2163862895","https://openalex.org/W2169028406","https://openalex.org/W2170429598","https://openalex.org/W2181911101","https://openalex.org/W2332131000","https://openalex.org/W2370339114","https://openalex.org/W3147113497","https://openalex.org/W3148444946","https://openalex.org/W4206386758","https://openalex.org/W4238307931","https://openalex.org/W4242757863","https://openalex.org/W4300551120"],"related_works":["https://openalex.org/W3161859090","https://openalex.org/W4399489983","https://openalex.org/W3047570290","https://openalex.org/W2383642526","https://openalex.org/W4283395220","https://openalex.org/W2365339277","https://openalex.org/W1484206036","https://openalex.org/W4283016182","https://openalex.org/W2047887376","https://openalex.org/W2038309076"],"abstract_inverted_index":{"Impact":[0],"happens":[1,67],"when":[2,68,78],"two":[3,88],"or":[4,77],"more":[5],"bodies":[6,89],"collide,":[7],"generating":[8],"very":[9,15],"large":[10],"impulsive":[11],"forces":[12],"in":[13,186],"a":[14,36,42,49,69,79,96,128,134,148,164,174,183,189],"short":[16],"period":[17],"of":[18,52,59,65,75,87,123],"time":[19],"during":[20,127,142],"which":[21,181],"kinetic":[22],"energy":[23],"is":[24,161,182],"first":[25],"absorbed":[26],"and":[27,112,140,154],"then":[28],"released":[29],"after":[30],"some":[31],"loss.":[32],"This":[33],"paper":[34,169],"introduces":[35],"state":[37,47,66,144],"transition":[38],"diagram":[39],"to":[40,104,173],"model":[41,160,171],"frictionless":[43],"multibody":[44,149],"collision.":[45],"Each":[46],"describes":[48],"different":[50],"topology":[51],"the":[53,57,73,84,108,113,143,157,178],"collision":[54,150],"characterized":[55],"by":[56],"set":[58],"instantaneously":[60],"active":[61,109],"contacts.":[62],"A":[63],"change":[64],"contact":[70,81,110],"disappears":[71],"at":[72,107],"end":[74],"restitution,":[76],"disappeared":[80],"reappears":[82],"as":[83],"relative":[85,105],"motion":[86],"goes":[90],"from":[91,125],"separation":[92],"into":[93],"penetration.":[94],"Within":[95],"state,":[97],"(normal)":[98],"impulses":[99],"are":[100],"coupled":[101],"differentially":[102],"subject":[103],"stiffnesses":[106],"points":[111],"strain":[114],"energies":[115],"stored":[116],"there.":[117],"Such":[118],"coupling":[119],"may":[120],"cause":[121],"restart":[122],"compression":[124],"restitution":[126],"single":[129],"impact.":[130],"Impulses":[131],"grow":[132],"along":[133],"bounded":[135],"curve":[136],"with":[137,152,163,188],"first-order":[138],"continuity,":[139],"converge":[141],"transitions.":[145],"To":[146],"solve":[147],"problem":[151],"friction":[153],"tangential":[155],"compliance,":[156],"above":[158],"impact":[159,166],"integrated":[162],"compliant":[165],"model.":[167],"The":[168],"compares":[170],"predictions":[172],"physical":[175],"experiment":[176],"for":[177],"mass\u00e9":[179],"shot,":[180],"difficult":[184],"trick":[185],"billiards,":[187],"good":[190],"result.":[191]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-03T06:03:33.228499","created_date":"2025-10-10T00:00:00"}
