{"id":"https://openalex.org/W7225101293","doi":"https://doi.org/10.21595/vp.2026.26940","title":"Influence of the geometric parameters of a vibratory ball mill on the amplitude of mill body vibrations","display_name":"Influence of the geometric parameters of a vibratory ball mill on the amplitude of mill body vibrations","publication_year":2026,"publication_date":"2026-11-01","ids":{"openalex":"https://openalex.org/W7225101293","doi":"https://doi.org/10.21595/vp.2026.26940"},"language":"en","primary_location":{"id":"doi:10.21595/vp.2026.26940","doi":"https://doi.org/10.21595/vp.2026.26940","is_oa":true,"landing_page_url":"https://doi.org/10.21595/vp.2026.26940","pdf_url":"https://www.extrica.com/article/26940/pdf","source":{"id":"https://openalex.org/S4210181519","display_name":"Vibroengineering PROCEDIA","issn_l":"2345-0533","issn":["2345-0533","2538-8479"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1"],"host_organization":"https://openalex.org/P4324044484","host_organization_name":"JVE International","host_organization_lineage":["https://openalex.org/P4324044484"],"host_organization_lineage_names":["JVE International"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Vibroengineering Procedia","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.extrica.com/article/26940/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062032432","display_name":"Dariya Rebot","orcid":"https://orcid.org/0000-0002-3583-0800","observed_orcids":["https://orcid.org/0000-0002-3583-0800"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Dariia Rebot","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067392077","display_name":"Volodymyr Topilnytskyy","orcid":"https://orcid.org/0000-0002-5191-326X","observed_orcids":["https://orcid.org/0000-0002-5191-326X","https://orcid.org/0000-0001-5246-3400"]},"institutions":[{"id":"https://openalex.org/I98435010","display_name":"Lviv Polytechnic National University","ror":"https://ror.org/0542q3127","country_code":"UA","type":"education","lineage":["https://openalex.org/I98435010"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Volodymyr Topilnytskyy","raw_affiliation_strings":["Department of Design Machine and Automotive Engineering , Lviv Polytechnic National University , Lviv , Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Design Machine and Automotive Engineering , Lviv Polytechnic National University , Lviv , Ukraine","institution_ids":["https://openalex.org/I98435010"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059483309","display_name":"Olena Stankevych","orcid":"https://orcid.org/0000-0002-5977-6351","observed_orcids":["https://orcid.org/0000-0002-5977-6351"]},"institutions":[{"id":"https://openalex.org/I98435010","display_name":"Lviv Polytechnic National University","ror":"https://ror.org/0542q3127","country_code":"UA","type":"education","lineage":["https://openalex.org/I98435010"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Olena Stankevych","raw_affiliation_strings":["Computer Design Systems Department , Lviv Polytechnic National University , Lviv , Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Design Systems Department , Lviv Polytechnic National University , Lviv , Ukraine","institution_ids":["https://openalex.org/I98435010"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071514449","display_name":"Oleh Kotsiumbas","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Oleh Kotsiumbas","raw_affiliation_strings":[","],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":",","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077179376","display_name":"Roman Pelo","orcid":"https://orcid.org/0000-0002-9359-8931","observed_orcids":["https://orcid.org/0000-0002-9359-8931"]},"institutions":[{"id":"https://openalex.org/I98435010","display_name":"Lviv Polytechnic National University","ror":"https://ror.org/0542q3127","country_code":"UA","type":"education","lineage":["https://openalex.org/I98435010"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Roman Pelo","raw_affiliation_strings":["Department of Motor Vehicle Transport , Lviv Polytechnic National University , Lviv , Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Motor Vehicle Transport , Lviv Polytechnic National University , Lviv , Ukraine","institution_ids":["https://openalex.org/I98435010"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062032432"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.75133349,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"64","issue":null,"first_page":"15","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12282","display_name":"Mineral Processing and Grinding","score":0.7562999725341797,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T12282","display_name":"Mineral Processing and Grinding","score":0.7562999725341797,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T13451","display_name":"Mechanical Engineering Research and Applications","score":0.10300000011920929,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.09009999781847,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/geometric-parameters","display_name":"geometric parameters","score":0.7149999737739563},{"id":"https://openalex.org/keywords/nonlinear-mathematical-model","display_name":"nonlinear mathematical model","score":0.7710000276565552}],"concepts":[{"id":"https://openalex.org/C16057445","wikidata":"https://www.wikidata.org/wiki/Q44494","display_name":"Mill","level":2,"score":0.9136000275611877},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.5738000273704529},{"id":"https://openalex.org/C192328126","wikidata":"https://www.wikidata.org/wiki/Q4514647","display_name":"Schematic","level":2,"score":0.5385000109672546},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.5234000086784363},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.459199994802475},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.4542999863624573},{"id":"https://openalex.org/C132186339","wikidata":"https://www.wikidata.org/wiki/Q781139","display_name":"Ball mill","level":2,"score":0.4260999858379364},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.42329999804496765},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.4226999878883362},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.3935000002384186},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.383899986743927},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3612000048160553},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3594000041484833},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.33070001006126404},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.3269999921321869},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.28870001435279846},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28060001134872437},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.2766999900341034},{"id":"https://openalex.org/C58754882","wikidata":"https://www.wikidata.org/wiki/Q1502887","display_name":"Geodetic datum","level":2,"score":0.26429998874664307},{"id":"https://openalex.org/C2777777706","wikidata":"https://www.wikidata.org/wiki/Q4356879","display_name":"Pulp mill","level":3,"score":0.26010000705718994},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.2596000134944916},{"id":"https://openalex.org/C199639397","wikidata":"https://www.wikidata.org/wiki/Q1788588","display_name":"Engineering drawing","level":1,"score":0.2583000063896179},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.2517000138759613}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.21595/vp.2026.26940","doi":"https://doi.org/10.21595/vp.2026.26940","is_oa":true,"landing_page_url":"https://doi.org/10.21595/vp.2026.26940","pdf_url":"https://www.extrica.com/article/26940/pdf","source":{"id":"https://openalex.org/S4210181519","display_name":"Vibroengineering PROCEDIA","issn_l":"2345-0533","issn":["2345-0533","2538-8479"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1"],"host_organization":"https://openalex.org/P4324044484","host_organization_name":"JVE International","host_organization_lineage":["https://openalex.org/P4324044484"],"host_organization_lineage_names":["JVE International"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Vibroengineering Procedia","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.21595/vp.2026.26940","doi":"https://doi.org/10.21595/vp.2026.26940","is_oa":true,"landing_page_url":"https://doi.org/10.21595/vp.2026.26940","pdf_url":"https://www.extrica.com/article/26940/pdf","source":{"id":"https://openalex.org/S4210181519","display_name":"Vibroengineering PROCEDIA","issn_l":"2345-0533","issn":["2345-0533","2538-8479"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1"],"host_organization":"https://openalex.org/P4324044484","host_organization_name":"JVE International","host_organization_lineage":["https://openalex.org/P4324044484"],"host_organization_lineage_names":["JVE International"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Vibroengineering Procedia","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7225101293.pdf","grobid_xml":"https://content.openalex.org/works/W7225101293.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W2626157325","https://openalex.org/W2781001530","https://openalex.org/W2888988058","https://openalex.org/W3117415739","https://openalex.org/W3174984936","https://openalex.org/W4315781072","https://openalex.org/W4389470447","https://openalex.org/W4399010269","https://openalex.org/W4399029409","https://openalex.org/W4399306791","https://openalex.org/W4399670399","https://openalex.org/W4412590360","https://openalex.org/W4415531878","https://openalex.org/W7155219828","https://openalex.org/W7160072020"],"related_works":["https://openalex.org/W2985402406","https://openalex.org/W2895125153","https://openalex.org/W2803955510","https://openalex.org/W1997618042","https://openalex.org/W3216677854","https://openalex.org/W4399306791","https://openalex.org/W7098503885","https://openalex.org/W4399133586","https://openalex.org/W4387246977","https://openalex.org/W4389443845"],"abstract_inverted_index":{"The":[0,132],"article":[1],"presents":[2],"the":[3,6,25,34,47,57,60,72,81,92,95,105,110,119,127,141,144,147],"justification":[4],"for":[5],"design":[7,106],"of":[8,24,33,40,59,62,74,76,83,94,121,123,126,136,143,149],"a":[9,21,29,63],"vibrating":[10,64,96],"unbalance":[11,65],"mill":[12,26,35,66,97,128,145],"with":[13,67,146],"an":[14,68],"independent":[15,69],"drive.":[16],"To":[17],"implement":[18],"this":[19],"task,":[20],"schematic":[22],"diagram":[23],"was":[27,36],"developed,":[28],"nonlinear":[30],"mathematical":[31,49,112],"model":[32],"created,":[37],"and":[38,80,98,156],"elements":[39],"its":[41,77,84,100,130,150],"dynamics":[42,142],"were":[43,53],"investigated.":[44],"Based":[45,108],"on":[46,71,109],"obtained":[48,111],"equations,":[50],"graphical":[51],"dependencies":[52],"constructed":[54],"that":[55],"describe":[56],"influence":[58],"parameters":[61,102],"drive":[70],"amplitude":[73],"oscillations":[75],"working":[78],"chamber":[79],"nature":[82],"movement.":[85],"This":[86],"makes":[87],"it":[88,114],"possible":[89,116],"to":[90,117,153],"regulate":[91],"efficiency":[93],"optimize":[99],"geometric":[101],"even":[103],"at":[104],"stage.":[107],"model,":[113],"is":[115],"construct":[118],"trajectories":[120],"movement":[122],"any":[124],"point":[125],"during":[129],"operation.":[131],"determined":[133],"indicators":[134],"are":[135],"great":[137],"importance":[138],"in":[139],"studying":[140],"aim":[148],"constructive":[151],"improvement":[152],"ensure":[154],"reliability":[155],"long":[157],"service":[158],"life.":[159]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-11-03T00:00:00"}