{"id":"https://openalex.org/W4415430286","doi":"https://doi.org/10.15407/msse2025.01.241","title":"Free Transverse Vibrations of a Load-Bearing Rope with Spring-Compliant Supports at Different Levels","display_name":"Free Transverse Vibrations of a Load-Bearing Rope with Spring-Compliant Supports at Different Levels","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4415430286","doi":"https://doi.org/10.15407/msse2025.01.241"},"language":"en","primary_location":{"id":"doi:10.15407/msse2025.01.241","doi":"https://doi.org/10.15407/msse2025.01.241","is_oa":true,"landing_page_url":"https://doi.org/10.15407/msse2025.01.241","pdf_url":"https://www.msse.org.ua/wp-content/uploads/2025/09/sliepko-1.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Materials Science and Surface Engineering","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.msse.org.ua/wp-content/uploads/2025/09/sliepko-1.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5119298707","display_name":"\u0422. \u0406. Sliepko","orcid":"https://orcid.org/0009-0003-3322-190X","observed_orcids":["https://orcid.org/0009-0003-3322-190X"]},"institutions":[{"id":"https://openalex.org/I164756455","display_name":"Khmelnytskyi National University","ror":"https://ror.org/04r8a1r80","country_code":"UA","type":"education","lineage":["https://openalex.org/I164756455"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Taras Sliepko","raw_affiliation_strings":["Khmelnytskiy National University , Ukraine"],"raw_orcid":"https://orcid.org/0009-0003-3322-190X","affiliations":[{"raw_affiliation_string":"Khmelnytskiy National University , Ukraine","institution_ids":["https://openalex.org/I164756455"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Andrii Ganzyuk","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I164756455","display_name":"Khmelnytskyi National University","ror":"https://ror.org/04r8a1r80","country_code":"UA","type":"education","lineage":["https://openalex.org/I164756455"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Andrii Ganzyuk","raw_affiliation_strings":["Khmelnytskiy National University , Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Khmelnytskiy National University , Ukraine","institution_ids":["https://openalex.org/I164756455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5093572672","display_name":"Oleksandr Lytvynov","orcid":"https://orcid.org/0009-0001-9540-0327","observed_orcids":["https://orcid.org/0009-0001-9540-0327"]},"institutions":[{"id":"https://openalex.org/I164756455","display_name":"Khmelnytskyi National University","ror":"https://ror.org/04r8a1r80","country_code":"UA","type":"education","lineage":["https://openalex.org/I164756455"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Oleksandr Lytvynov","raw_affiliation_strings":["Khmelnytskiy National University , Ukraine"],"raw_orcid":"https://orcid.org/0009-0001-9540-0327","affiliations":[{"raw_affiliation_string":"Khmelnytskiy National University , Ukraine","institution_ids":["https://openalex.org/I164756455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I164756455"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"241","last_page":"242"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9599999785423279,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9599999785423279,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.03229999914765358,"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/T12487","display_name":"Structural Engineering and Vibration Analysis","score":0.004600000102072954,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/free-transverse-vibration","display_name":"free transverse vibration","score":0.9120000004768372},{"id":"https://openalex.org/keywords/oscillation-amplitude","display_name":"oscillation amplitude","score":0.9100000262260437},{"id":"https://openalex.org/keywords/suspension-bridge-cables","display_name":"suspension bridge cables","score":0.6539999842643738},{"id":"https://openalex.org/keywords/crane-systems","display_name":"crane systems","score":0.5540000200271606}],"concepts":[{"id":"https://openalex.org/C162269090","wikidata":"https://www.wikidata.org/wiki/Q1156047","display_name":"Rope","level":2,"score":0.7961000204086304},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.6985999941825867},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.663100004196167},{"id":"https://openalex.org/C154954056","wikidata":"https://www.wikidata.org/wiki/Q1604164","display_name":"Transverse plane","level":2,"score":0.6575000286102295},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5458999872207642},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.527999997138977},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5026000142097473},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.48170000314712524},{"id":"https://openalex.org/C105341887","wikidata":"https://www.wikidata.org/wiki/Q1307987","display_name":"Suspension (topology)","level":3,"score":0.48089998960494995},{"id":"https://openalex.org/C2781373598","wikidata":"https://www.wikidata.org/wiki/Q552034","display_name":"Wire rope","level":2,"score":0.4708999991416931},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.46059998869895935},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4392000138759613},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4359000027179718},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3878999948501587},{"id":"https://openalex.org/C2779437913","wikidata":"https://www.wikidata.org/wiki/Q4316764","display_name":"Nonlinear Oscillations","level":3,"score":0.34709998965263367},{"id":"https://openalex.org/C45799244","wikidata":"https://www.wikidata.org/wiki/Q109968206","display_name":"Vibration isolation","level":3,"score":0.34389999508857727},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.33480000495910645},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.33469998836517334},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.3244999945163727},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.31189998984336853},{"id":"https://openalex.org/C2989370511","wikidata":"https://www.wikidata.org/wiki/Q18381590","display_name":"Dynamic equation","level":3,"score":0.31060001254081726},{"id":"https://openalex.org/C8590192","wikidata":"https://www.wikidata.org/wiki/Q1054694","display_name":"Frequency response","level":2,"score":0.30640000104904175},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.30489999055862427},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.3027999997138977},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.2888999879360199},{"id":"https://openalex.org/C12839126","wikidata":"https://www.wikidata.org/wiki/Q5318989","display_name":"Dynamic load testing","level":2,"score":0.28299999237060547},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.2825999855995178},{"id":"https://openalex.org/C2779612905","wikidata":"https://www.wikidata.org/wiki/Q381651","display_name":"Solid body","level":2,"score":0.2759000062942505},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.2538999915122986},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25200000405311584}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.15407/msse2025.01.241","doi":"https://doi.org/10.15407/msse2025.01.241","is_oa":true,"landing_page_url":"https://doi.org/10.15407/msse2025.01.241","pdf_url":"https://www.msse.org.ua/wp-content/uploads/2025/09/sliepko-1.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Materials Science and Surface Engineering","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.15407/msse2025.01.241","doi":"https://doi.org/10.15407/msse2025.01.241","is_oa":true,"landing_page_url":"https://doi.org/10.15407/msse2025.01.241","pdf_url":"https://www.msse.org.ua/wp-content/uploads/2025/09/sliepko-1.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Materials Science and Surface Engineering","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/W4415430286.pdf","grobid_xml":"https://content.openalex.org/works/W4415430286.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W4409443738"],"related_works":["https://openalex.org/W2212252437","https://openalex.org/W2078561512","https://openalex.org/W7099748338","https://openalex.org/W6981237879","https://openalex.org/W4413192362","https://openalex.org/W116050604","https://openalex.org/W7125919431","https://openalex.org/W2059385062","https://openalex.org/W2972425075","https://openalex.org/W2387066172"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,21,36,40,45,60,76,80,97],"free":[4],"transverse":[5],"vibrations":[6],"of":[7,39,53,79,99],"a":[8,28],"load-bearing":[9],"rope":[10,61],"with":[11],"spring-compliant":[12,72],"supports":[13,73],"at":[14],"different":[15],"levels.":[16],"Using":[17],"Lagrange\u2019s":[18],"equation":[19,31],"and":[20,56,65,86,105],"geometrical":[22],"approach":[23],"to":[24,34,83],"flexible":[25],"string":[26],"modeling,":[27],"nonlinear":[29],"differential":[30],"was":[32],"derived":[33],"describe":[35],"dynamic":[37,77],"behavior":[38],"system.":[41],"Analytical":[42],"expressions":[43],"for":[44],"reduced":[46],"mass":[47],"coefficient":[48],"were":[49],"obtained,":[50],"enabling":[51],"evaluation":[52],"vibration":[54],"frequencies":[55],"amplitudes":[57],"depending":[58],"on":[59],"parameters,":[62],"load":[63],"weight,":[64],"support":[66],"compliance.":[67],"The":[68,90],"results":[69],"demonstrate":[70],"that":[71],"significantly":[74],"affect":[75],"response":[78],"system,":[81],"leading":[82],"frequency":[84],"shifts":[85],"increased":[87],"oscillation":[88],"amplitudes.":[89],"developed":[91],"methodology":[92],"can":[93],"be":[94],"applied":[95],"in":[96],"design":[98],"cableways,":[100],"suspension":[101],"bridges,":[102],"crane":[103],"systems,":[104],"other":[106],"rope-supported":[107],"structures.":[108]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2025-10-23T00:00:00"}