{"id":"https://openalex.org/W1996354031","doi":"https://doi.org/10.1142/s1793962314500056","title":"A numerical approach for analyzing the transverse vibrations of an axially moving viscoelastic string","display_name":"A numerical approach for analyzing the transverse vibrations of an axially moving viscoelastic string","publication_year":2014,"publication_date":"2014-01-16","ids":{"openalex":"https://openalex.org/W1996354031","doi":"https://doi.org/10.1142/s1793962314500056","mag":"1996354031"},"language":"en","primary_location":{"id":"doi:10.1142/s1793962314500056","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962314500056","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","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/A5058435416","display_name":"Ying Wu","orcid":"https://orcid.org/0000-0002-7919-1107"},"institutions":[{"id":"https://openalex.org/I108688024","display_name":"Qingdao University","ror":"https://ror.org/021cj6z65","country_code":"CN","type":"education","lineage":["https://openalex.org/I108688024"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ying Wu","raw_affiliation_strings":["College of Mathematics, Qingdao University, Qingdao 266071, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics, Qingdao University, Qingdao 266071, P. R. China","institution_ids":["https://openalex.org/I108688024"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102363297","display_name":"Weijia Zhao","orcid":"https://orcid.org/0009-0005-3461-3037"},"institutions":[{"id":"https://openalex.org/I108688024","display_name":"Qingdao University","ror":"https://ror.org/021cj6z65","country_code":"CN","type":"education","lineage":["https://openalex.org/I108688024"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weijia Zhao","raw_affiliation_strings":["College of Mathematics, Qingdao University, Qingdao 266071, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics, Qingdao University, Qingdao 266071, P. R. China","institution_ids":["https://openalex.org/I108688024"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082782087","display_name":"Jiang Zhu","orcid":"https://orcid.org/0000-0003-3519-0062"},"institutions":[{"id":"https://openalex.org/I4210142352","display_name":"Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica","ror":"https://ror.org/0498ekt05","country_code":"BR","type":"government","lineage":["https://openalex.org/I4210142352"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jiang Zhu","raw_affiliation_strings":["Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica, MCTI, Avenida Get\u00falio Vargas 333, 25651-075 Petr\u00f3polis, RJ, Brazil"],"affiliations":[{"raw_affiliation_string":"Laborat\u00f3rio Nacional de Computa\u00e7\u00e3o Cient\u00edfica, MCTI, Avenida Get\u00falio Vargas 333, 25651-075 Petr\u00f3polis, RJ, Brazil","institution_ids":["https://openalex.org/I4210142352"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058435416"],"corresponding_institution_ids":["https://openalex.org/I108688024"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.08343413,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"05","issue":"03","first_page":"1450005","last_page":"1450005"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12206","display_name":"Vibration and Dynamic Analysis","score":1.0,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":1.0,"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/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9617000222206116,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/axial-symmetry","display_name":"Axial symmetry","score":0.8540571331977844},{"id":"https://openalex.org/keywords/viscoelasticity","display_name":"Viscoelasticity","score":0.8433371186256409},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.812326192855835},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7137475609779358},{"id":"https://openalex.org/keywords/transverse-plane","display_name":"Transverse plane","score":0.6724228858947754},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.6200796365737915},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5311105847358704},{"id":"https://openalex.org/keywords/transverse-vibration","display_name":"Transverse vibration","score":0.5078864693641663},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4811364710330963},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4098118543624878},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3918885886669159},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37130892276763916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28562429547309875},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.17369475960731506},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17005887627601624},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.13483455777168274},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.12053200602531433},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07781103253364563},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06156763434410095}],"concepts":[{"id":"https://openalex.org/C35377427","wikidata":"https://www.wikidata.org/wiki/Q3886264","display_name":"Axial symmetry","level":2,"score":0.8540571331977844},{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.8433371186256409},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.812326192855835},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7137475609779358},{"id":"https://openalex.org/C154954056","wikidata":"https://www.wikidata.org/wiki/Q1604164","display_name":"Transverse plane","level":2,"score":0.6724228858947754},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.6200796365737915},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5311105847358704},{"id":"https://openalex.org/C2988322514","wikidata":"https://www.wikidata.org/wiki/Q691978","display_name":"Transverse vibration","level":3,"score":0.5078864693641663},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4811364710330963},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4098118543624878},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3918885886669159},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37130892276763916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28562429547309875},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.17369475960731506},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17005887627601624},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.13483455777168274},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.12053200602531433},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07781103253364563},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06156763434410095},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793962314500056","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962314500056","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1963902701","https://openalex.org/W1977178413","https://openalex.org/W1982682153","https://openalex.org/W1999088012","https://openalex.org/W2036603883","https://openalex.org/W2040715773","https://openalex.org/W2050503192","https://openalex.org/W2050923536","https://openalex.org/W2055696851","https://openalex.org/W2062875651","https://openalex.org/W2086257981","https://openalex.org/W2090502885","https://openalex.org/W2097711576","https://openalex.org/W2111783549","https://openalex.org/W2276227205","https://openalex.org/W3147644858"],"related_works":["https://openalex.org/W1972824299","https://openalex.org/W2156487669","https://openalex.org/W633727390","https://openalex.org/W2810191438","https://openalex.org/W4296783753","https://openalex.org/W1970362751","https://openalex.org/W2807456113","https://openalex.org/W2907625009","https://openalex.org/W2945926100","https://openalex.org/W2332911095"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,51,61],"fractional":[4,37],"differential":[5,38],"equation":[6],"is":[7,23],"introduced":[8],"to":[9,25],"describe":[10],"the":[11,27,32,36,43,54,57],"transverse":[12],"vibrations":[13],"of":[14,35,56],"an":[15],"axially":[16],"moving":[17,62],"viscoelastic":[18,58],"string.":[19],"An":[20],"iterative":[21],"algorithm":[22],"constructed":[24],"analyze":[26],"dynamical":[28],"behavior.":[29],"By":[30],"conveying":[31],"memory":[33],"effect":[34],"terms":[39],"step":[40],"by":[41],"step,":[42],"computation":[44],"cost":[45],"can":[46],"be":[47],"greatly":[48],"reduced.":[49],"As":[50],"numerical":[52],"example,":[53],"effects":[55],"parameters":[59],"on":[60],"string":[63],"are":[64],"investigated.":[65]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
