{"id":"https://openalex.org/W2110437627","doi":"https://doi.org/10.23919/acc.2004.1383652","title":"A mass-spring-damper model of a bouncing ball","display_name":"A mass-spring-damper model of a bouncing ball","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2110437627","doi":"https://doi.org/10.23919/acc.2004.1383652","mag":"2110437627"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2004.1383652","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2004.1383652","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2004 American Control Conference","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/A5067052751","display_name":"Mark L. Nagurka","orcid":"https://orcid.org/0000-0001-6331-905X"},"institutions":[{"id":"https://openalex.org/I102461120","display_name":"Marquette University","ror":"https://ror.org/04gr4te78","country_code":"US","type":"education","lineage":["https://openalex.org/I102461120"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Nagurka","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, Marquette University, Milwaukee, WI, USA","[Dept. of Mech. & Ind. Eng., Marquette Univ., Milwaukee, WI, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Marquette University, Milwaukee, WI, USA","institution_ids":["https://openalex.org/I102461120"]},{"raw_affiliation_string":"[Dept. of Mech. & Ind. Eng., Marquette Univ., Milwaukee, WI, USA]","institution_ids":["https://openalex.org/I102461120"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029960857","display_name":"Shuguang Huang","orcid":"https://orcid.org/0000-0002-6130-4433"},"institutions":[{"id":"https://openalex.org/I102461120","display_name":"Marquette University","ror":"https://ror.org/04gr4te78","country_code":"US","type":"education","lineage":["https://openalex.org/I102461120"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shuguang Huang","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, Marquette University, Milwaukee, WI, USA","[Dept. of Mech. & Ind. Eng., Marquette Univ., Milwaukee, WI, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Marquette University, Milwaukee, WI, USA","institution_ids":["https://openalex.org/I102461120"]},{"raw_affiliation_string":"[Dept. of Mech. & Ind. Eng., Marquette Univ., Milwaukee, WI, USA]","institution_ids":["https://openalex.org/I102461120"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I102461120"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"499","last_page":"504 vol.1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12677","display_name":"Sports Dynamics and Biomechanics","score":0.9973000288009644,"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":0.9973000288009644,"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/T12250","display_name":"Experimental and Theoretical Physics Studies","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11349","display_name":"Music Technology and Sound Studies","score":0.9728000164031982,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/coefficient-of-restitution","display_name":"Coefficient of restitution","score":0.8104496002197266},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.7362839579582214},{"id":"https://openalex.org/keywords/damper","display_name":"Damper","score":0.6377685070037842},{"id":"https://openalex.org/keywords/stiffness","display_name":"Stiffness","score":0.6348583698272705},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.6128051280975342},{"id":"https://openalex.org/keywords/natural-frequency","display_name":"Natural frequency","score":0.526945948600769},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5075703859329224},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4534658193588257},{"id":"https://openalex.org/keywords/spring","display_name":"Spring (device)","score":0.43186238408088684},{"id":"https://openalex.org/keywords/contact-force","display_name":"Contact force","score":0.417055606842041},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.3588079810142517},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.34254899621009827},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.258456289768219},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.23884636163711548},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.226139634847641},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2086869776248932},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.14322909712791443},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11437693238258362},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.09860673546791077}],"concepts":[{"id":"https://openalex.org/C5364694","wikidata":"https://www.wikidata.org/wiki/Q1143011","display_name":"Coefficient of restitution","level":2,"score":0.8104496002197266},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.7362839579582214},{"id":"https://openalex.org/C140096630","wikidata":"https://www.wikidata.org/wiki/Q3423628","display_name":"Damper","level":2,"score":0.6377685070037842},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.6348583698272705},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6128051280975342},{"id":"https://openalex.org/C78736273","wikidata":"https://www.wikidata.org/wiki/Q946764","display_name":"Natural frequency","level":3,"score":0.526945948600769},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5075703859329224},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4534658193588257},{"id":"https://openalex.org/C2778712887","wikidata":"https://www.wikidata.org/wiki/Q102836","display_name":"Spring (device)","level":2,"score":0.43186238408088684},{"id":"https://openalex.org/C81302111","wikidata":"https://www.wikidata.org/wiki/Q2916417","display_name":"Contact force","level":2,"score":0.417055606842041},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3588079810142517},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.34254899621009827},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.258456289768219},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.23884636163711548},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.226139634847641},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2086869776248932},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.14322909712791443},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11437693238258362},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.09860673546791077},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc.2004.1383652","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2004.1383652","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2004 American Control Conference","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":8,"referenced_works":["https://openalex.org/W1990768294","https://openalex.org/W2002864409","https://openalex.org/W2047171193","https://openalex.org/W2062970442","https://openalex.org/W2074866130","https://openalex.org/W2078350323","https://openalex.org/W2079686830","https://openalex.org/W2336783851"],"related_works":["https://openalex.org/W2724189035","https://openalex.org/W2085868700","https://openalex.org/W1543140814","https://openalex.org/W3080345423","https://openalex.org/W2612637407","https://openalex.org/W2052202522","https://openalex.org/W2999364027","https://openalex.org/W1510526548","https://openalex.org/W2037478088","https://openalex.org/W2325066317"],"abstract_inverted_index":{"The":[0],"mechanical":[1],"properties":[2],"of":[3,19,24,26,44,49,59],"a":[4,50,77,104],"vertically":[5],"dropped":[6],"ball,":[7],"represented":[8],"by":[9],"an":[10],"equivalent":[11],"mass-spring-damper":[12],"model,":[13],"are":[14,53,98,108],"related":[15,54],"to":[16,55,74],"the":[17,22,27,33,42,56,62,68,71],"coefficient":[18,43],"restitution":[20,45],"and":[21,46,61,70,89,95],"time":[23,48,64],"contact":[25,47],"ball":[28,69,72,78,107],"during":[29],"one":[30],"bounce":[31,52],"with":[32,79],"impacting":[34],"surface.":[35],"In":[36],"addition,":[37],"it":[38],"is":[39],"shown":[40],"that":[41],"single":[51],"total":[57,63],"number":[58],"bounces":[60],"elapsing":[65],"between":[66],"dropping":[67],"coming":[73],"rest.":[75],"For":[76],"significant":[80],"bounce,":[81],"approximate":[82],"expressions":[83],"for":[84,103],"model":[85],"parameters,":[86],"i.e.,":[87],"stiffness":[88],"damping":[90,96],"or":[91],"equivalently":[92],"natural":[93],"frequency":[94],"ratio,":[97],"developed.":[99],"Experimentally":[100],"based":[101],"results":[102],"bouncing":[105],"pingpong":[106],"presented.":[109]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
