{"id":"https://openalex.org/W4414797170","doi":"https://doi.org/10.1016/j.jbiomech.2025.112989","title":"A single-rigid-body model for triple jump","display_name":"A single-rigid-body model for triple jump","publication_year":2025,"publication_date":"2025-10-03","ids":{"openalex":"https://openalex.org/W4414797170","doi":"https://doi.org/10.1016/j.jbiomech.2025.112989"},"language":"en","primary_location":{"id":"doi:10.1016/j.jbiomech.2025.112989","doi":"https://doi.org/10.1016/j.jbiomech.2025.112989","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jbiomech.2025.112989","pdf_url":null,"source":{"id":"https://openalex.org/S181675524","display_name":"Journal of Biomechanics","issn_l":"0021-9290","issn":["0021-9290","1873-2380"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-2","medline","norway-2","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Biomechanics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.jbiomech.2025.112989","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012485343","display_name":"Hiroki Okubo","orcid":"https://orcid.org/0000-0002-7097-843X","observed_orcids":["https://orcid.org/0000-0002-7097-843X"]},"institutions":[{"id":"https://openalex.org/I8488066","display_name":"Chiba Institute of Technology","ror":"https://ror.org/00qwnam72","country_code":"JP","type":"education","lineage":["https://openalex.org/I8488066"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hiroki Okubo","raw_affiliation_strings":["Chiba Institute of Technology, 2-17-1, Tsudanuma, Narashino, 2750016, Chiba, Japan"],"raw_orcid":"https://orcid.org/0000-0002-7097-843X","affiliations":[{"raw_affiliation_string":"Chiba Institute of Technology, 2-17-1, Tsudanuma, Narashino, 2750016, Chiba, Japan","institution_ids":["https://openalex.org/I8488066"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063922654","display_name":"Mont Hubbard","orcid":"https://orcid.org/0000-0001-8321-6576","observed_orcids":["https://orcid.org/0000-0001-8321-6576"]},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mont Hubbard","raw_affiliation_strings":["University of California, Davis, 1 Shields Ave., Davis, 95616, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Davis, 1 Shields Ave., Davis, 95616, CA, USA","institution_ids":["https://openalex.org/I84218800"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012485343"],"corresponding_institution_ids":["https://openalex.org/I8488066"],"apc_list":{"value":3650,"currency":"USD","value_usd":3650},"apc_paid":{"value":3650,"currency":"USD","value_usd":3650},"fwci":0.2359,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.45312996,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"198","issue":null,"first_page":"112989","last_page":"112989"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12677","display_name":"Sports Dynamics and Biomechanics","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T12677","display_name":"Sports Dynamics and Biomechanics","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T13189","display_name":"Physical Education and Training Studies","score":0.0013000000035390258,"subfield":{"id":"https://openalex.org/subfields/3612","display_name":"Physical Therapy, Sports Therapy and Rehabilitation"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T13752","display_name":"Mechanics and Biomechanics Studies","score":0.0007999999797903001,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/triple-jump","display_name":"triple jump","score":1.0},{"id":"https://openalex.org/keywords/takeoff-angle","display_name":"take-off angle","score":0.7609999775886536},{"id":"https://openalex.org/keywords/phase-ratio","display_name":"phase ratio","score":0.6320000290870667},{"id":"https://openalex.org/keywords/support-phase","display_name":"support phase","score":0.5649999976158142},{"id":"https://openalex.org/keywords/flight-phases","display_name":"flight phases","score":0.7310000061988831},{"id":"https://openalex.org/keywords/aerodynamic-drag","display_name":"aerodynamic drag","score":0.8059999942779541},{"id":"https://openalex.org/keywords/take-off-velocity","display_name":"take-off velocity","score":0.7409999966621399}],"concepts":[{"id":"https://openalex.org/C2777717826","wikidata":"https://www.wikidata.org/wiki/Q854248","display_name":"Takeoff","level":2,"score":0.919700026512146},{"id":"https://openalex.org/C2779860262","wikidata":"https://www.wikidata.org/wiki/Q650807","display_name":"Touchdown","level":2,"score":0.7688000202178955},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.5630000233650208},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.5608000159263611},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.4968000054359436},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4952999949455261},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.484499990940094},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.4318000078201294},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.42969998717308044},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.42910000681877136},{"id":"https://openalex.org/C3019707481","wikidata":"https://www.wikidata.org/wiki/Q170737","display_name":"Long jump","level":3,"score":0.4275999963283539},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40560001134872437},{"id":"https://openalex.org/C162269090","wikidata":"https://www.wikidata.org/wiki/Q1156047","display_name":"Rope","level":2,"score":0.37929999828338623},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.37049999833106995},{"id":"https://openalex.org/C2780631144","wikidata":"https://www.wikidata.org/wiki/Q20046585","display_name":"Takeoff and landing","level":2,"score":0.36399999260902405},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34610000252723694},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.34389999508857727},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.34200000762939453},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.3409000039100647},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3246999979019165},{"id":"https://openalex.org/C18007350","wikidata":"https://www.wikidata.org/wiki/Q7394815","display_name":"STRIDE","level":2,"score":0.3188000023365021},{"id":"https://openalex.org/C5594486","wikidata":"https://www.wikidata.org/wiki/Q161635","display_name":"Angular velocity","level":2,"score":0.31769999861717224},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.3061000108718872},{"id":"https://openalex.org/C10238366","wikidata":"https://www.wikidata.org/wiki/Q165618","display_name":"Moment of inertia","level":2,"score":0.3046000003814697},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.3041999936103821},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.2976999878883362},{"id":"https://openalex.org/C2988296624","wikidata":"https://www.wikidata.org/wiki/Q211459","display_name":"Translational motion","level":2,"score":0.296099990606308},{"id":"https://openalex.org/C2779897013","wikidata":"https://www.wikidata.org/wiki/Q1151752","display_name":"Jumping","level":2,"score":0.2858000099658966},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.28029999136924744},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.2777000069618225},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.2750999927520752},{"id":"https://openalex.org/C6342182","wikidata":"https://www.wikidata.org/wiki/Q2995427","display_name":"Rotation around a fixed axis","level":2,"score":0.2687000036239624},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.2630999982357025},{"id":"https://openalex.org/C89992363","wikidata":"https://www.wikidata.org/wiki/Q5961558","display_name":"Track (disk drive)","level":2,"score":0.2628999948501587},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.26019999384880066},{"id":"https://openalex.org/C186068551","wikidata":"https://www.wikidata.org/wiki/Q13255585","display_name":"Tension (geology)","level":3,"score":0.2590999901294708},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2581999897956848},{"id":"https://openalex.org/C2777280388","wikidata":"https://www.wikidata.org/wiki/Q872157","display_name":"Jumper","level":2,"score":0.2558000087738037},{"id":"https://openalex.org/C146160929","wikidata":"https://www.wikidata.org/wiki/Q751290","display_name":"Euler angles","level":2,"score":0.2535000145435333}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jbiomech.2025.112989","doi":"https://doi.org/10.1016/j.jbiomech.2025.112989","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jbiomech.2025.112989","pdf_url":null,"source":{"id":"https://openalex.org/S181675524","display_name":"Journal of Biomechanics","issn_l":"0021-9290","issn":["0021-9290","1873-2380"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-2","medline","norway-2","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Biomechanics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.jbiomech.2025.112989","doi":"https://doi.org/10.1016/j.jbiomech.2025.112989","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jbiomech.2025.112989","pdf_url":null,"source":{"id":"https://openalex.org/S181675524","display_name":"Journal of Biomechanics","issn_l":"0021-9290","issn":["0021-9290","1873-2380"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-2","medline","norway-2","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Biomechanics","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W131903413","https://openalex.org/W1161559939","https://openalex.org/W1546597935","https://openalex.org/W1591350379","https://openalex.org/W1965890674","https://openalex.org/W1970914491","https://openalex.org/W1974280889","https://openalex.org/W1976569871","https://openalex.org/W1978627633","https://openalex.org/W1992196932","https://openalex.org/W2009127089","https://openalex.org/W2019787352","https://openalex.org/W2034243244","https://openalex.org/W2036996331","https://openalex.org/W2052118856","https://openalex.org/W2065866431","https://openalex.org/W2077276957","https://openalex.org/W2090570106","https://openalex.org/W2100799370","https://openalex.org/W2124958536","https://openalex.org/W2143534317","https://openalex.org/W2152684714","https://openalex.org/W2157389737","https://openalex.org/W2179517417","https://openalex.org/W2201131596","https://openalex.org/W2214298621","https://openalex.org/W2277073510","https://openalex.org/W2312644716"],"related_works":[],"abstract_inverted_index":{"A":[0],"single-rigid-body":[1],"model":[2],"is":[3],"used":[4],"to":[5,35,131],"approximately":[6],"calculate":[7],"total":[8,133],"triple":[9],"jump":[10],"distance":[11],"and":[12,19,37,44,53,58,94,106,116],"phase":[13,16],"ratios,":[14],"given":[15],"takeoff":[17,22,111,129],"angles":[18,112,130],"last":[20],"stride":[21],"velocity.":[23],"Each":[24],"of":[25,47,83,103],"the":[26,70,81,84,90,104,118],"three":[27,128],"phases":[28],"contains":[29],"two":[30],"segments:":[31],"support":[32,61,108],"from":[33],"touchdown":[34],"takeoff,":[36],"gravitational":[38],"flight":[39],"with":[40,97,142],"air":[41],"drag.":[42],"Translational":[43],"rotational":[45],"equations":[46],"motion":[48],"including":[49],"track":[50,71],"reaction":[51,72],"forces":[52],"moments":[54],"describe":[55],"center-of-mass":[56],"translation":[57],"rotation":[59],"during":[60,86],"segments.":[62],"In":[63],"each":[64],"support,":[65],"human":[66],"muscular":[67],"inputs":[68],"shape":[69],"force.":[73],"Two":[74],"very":[75],"simple":[76],"assumptions":[77],"are":[78,140],"made":[79],"about":[80],"orientation":[82],"body":[85,91],"flight,":[87],"namely":[88],"that":[89,117],"remains":[92],"vertical":[93,105],"takes":[95],"off":[96],"zero":[98],"pitching":[99],"angular":[100],"momentum.":[101],"Evaluation":[102],"horizontal":[107],"impulses":[109],"reveals":[110],"as":[113,125],"control":[114],"variables":[115],"essential":[119],"optimization":[120],"problem":[121],"can":[122],"be":[123],"viewed":[124],"choosing":[126],"sequentially":[127],"maximize":[132],"distance.":[134],"To":[135],"assess":[136],"validity,":[137],"numerical":[138],"results":[139],"compared":[141],"actual":[143],"competition":[144],"measurements.":[145]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}