{"id":"https://openalex.org/W4377139756","doi":"https://doi.org/10.3389/fams.2023.1153071","title":"Thermal Timoshenko beam system with suspenders and Kelvin\u2013Voigt damping","display_name":"Thermal Timoshenko beam system with suspenders and Kelvin\u2013Voigt damping","publication_year":2023,"publication_date":"2023-05-19","ids":{"openalex":"https://openalex.org/W4377139756","doi":"https://doi.org/10.3389/fams.2023.1153071"},"language":"en","primary_location":{"id":"doi:10.3389/fams.2023.1153071","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2023.1153071","pdf_url":"https://www.frontiersin.org/articles/10.3389/fams.2023.1153071/pdf","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.frontiersin.org/articles/10.3389/fams.2023.1153071/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007366292","display_name":"Soh Edwin Mukiawa","orcid":"https://orcid.org/0000-0002-6668-1107"},"institutions":[{"id":"https://openalex.org/I4210112337","display_name":"University of Hafr Al-Batin","ror":"https://ror.org/021jt1927","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210112337"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Soh Edwin Mukiawa","raw_affiliation_strings":["Department of Mathematics, University of Hafr Al Batin, Hafr Al Batin, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Hafr Al Batin, Hafr Al Batin, Saudi Arabia","institution_ids":["https://openalex.org/I4210112337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018916879","display_name":"Yasir Khan","orcid":"https://orcid.org/0000-0002-6386-6181"},"institutions":[{"id":"https://openalex.org/I4210112337","display_name":"University of Hafr Al-Batin","ror":"https://ror.org/021jt1927","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210112337"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Yasir Khan","raw_affiliation_strings":["Department of Mathematics, University of Hafr Al Batin, Hafr Al Batin, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Hafr Al Batin, Hafr Al Batin, Saudi Arabia","institution_ids":["https://openalex.org/I4210112337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058633214","display_name":"Hamdan Al Sulaimani","orcid":null},"institutions":[{"id":"https://openalex.org/I4210112337","display_name":"University of Hafr Al-Batin","ror":"https://ror.org/021jt1927","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210112337"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Hamdan Al Sulaimani","raw_affiliation_strings":["Department of Mathematics, University of Hafr Al Batin, Hafr Al Batin, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Hafr Al Batin, Hafr Al Batin, Saudi Arabia","institution_ids":["https://openalex.org/I4210112337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036430105","display_name":"McSylvester Ejighikeme Omaba","orcid":"https://orcid.org/0000-0002-5163-229X"},"institutions":[{"id":"https://openalex.org/I4210112337","display_name":"University of Hafr Al-Batin","ror":"https://ror.org/021jt1927","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210112337"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"McSylvester Ejighikeme Omaba","raw_affiliation_strings":["Department of Mathematics, University of Hafr Al Batin, Hafr Al Batin, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Hafr Al Batin, Hafr Al Batin, Saudi Arabia","institution_ids":["https://openalex.org/I4210112337"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028288113","display_name":"Cyril Dennis Enyi","orcid":"https://orcid.org/0000-0001-9658-5864"},"institutions":[{"id":"https://openalex.org/I4210112337","display_name":"University of Hafr Al-Batin","ror":"https://ror.org/021jt1927","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210112337"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Cyril Dennis Enyi","raw_affiliation_strings":["Department of Mathematics, University of Hafr Al Batin, Hafr Al Batin, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Hafr Al Batin, Hafr Al Batin, Saudi Arabia","institution_ids":["https://openalex.org/I4210112337"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5007366292"],"corresponding_institution_ids":["https://openalex.org/I4210112337"],"apc_list":{"value":1150,"currency":"USD","value_usd":1150},"apc_paid":{"value":1150,"currency":"USD","value_usd":1150},"fwci":2.4365,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.88688622,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"9","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/timoshenko-beam-theory","display_name":"Timoshenko beam theory","score":0.7563133239746094},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6922938823699951},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.5914170145988464},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5427068471908569},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.470601886510849},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.46542853116989136},{"id":"https://openalex.org/keywords/thermoelastic-damping","display_name":"Thermoelastic damping","score":0.4380279779434204},{"id":"https://openalex.org/keywords/exponential-decay","display_name":"Exponential decay","score":0.43037039041519165},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39818841218948364},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39265745878219604},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.37715327739715576},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3390619158744812},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.14582368731498718},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.09422922134399414},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08437484502792358}],"concepts":[{"id":"https://openalex.org/C190699663","wikidata":"https://www.wikidata.org/wiki/Q2435044","display_name":"Timoshenko beam theory","level":3,"score":0.7563133239746094},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6922938823699951},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.5914170145988464},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5427068471908569},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.470601886510849},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.46542853116989136},{"id":"https://openalex.org/C92458943","wikidata":"https://www.wikidata.org/wiki/Q7783171","display_name":"Thermoelastic damping","level":3,"score":0.4380279779434204},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.43037039041519165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39818841218948364},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39265745878219604},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.37715327739715576},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3390619158744812},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.14582368731498718},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.09422922134399414},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08437484502792358},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3389/fams.2023.1153071","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2023.1153071","pdf_url":"https://www.frontiersin.org/articles/10.3389/fams.2023.1153071/pdf","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:21609b1646bd482496edf323c4743bbc","is_oa":true,"landing_page_url":"https://doaj.org/article/21609b1646bd482496edf323c4743bbc","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Frontiers in Applied Mathematics and Statistics, Vol 9 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3389/fams.2023.1153071","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2023.1153071","pdf_url":"https://www.frontiersin.org/articles/10.3389/fams.2023.1153071/pdf","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.6899999976158142}],"awards":[{"id":"https://openalex.org/G6446602598","display_name":null,"funder_award_id":"IFP-A-2022-2-1-04","funder_id":"https://openalex.org/F4320317414","funder_display_name":"University of Hafr Al Batin"}],"funders":[{"id":"https://openalex.org/F4320317414","display_name":"University of Hafr Al Batin","ror":"https://ror.org/021jt1927"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4377139756.pdf"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W226196830","https://openalex.org/W1527296550","https://openalex.org/W1642453465","https://openalex.org/W1973038067","https://openalex.org/W1973648528","https://openalex.org/W1974771187","https://openalex.org/W1984151966","https://openalex.org/W1988534828","https://openalex.org/W2004776168","https://openalex.org/W2006888524","https://openalex.org/W2015715180","https://openalex.org/W2020676081","https://openalex.org/W2022576895","https://openalex.org/W2035012055","https://openalex.org/W2061558158","https://openalex.org/W2064752618","https://openalex.org/W2070564970","https://openalex.org/W2090503344","https://openalex.org/W2092094360","https://openalex.org/W2093204613","https://openalex.org/W2118870520","https://openalex.org/W2163075062","https://openalex.org/W2370551899","https://openalex.org/W3041202610","https://openalex.org/W4289716875","https://openalex.org/W4310689922","https://openalex.org/W4317831191"],"related_works":["https://openalex.org/W2515867266","https://openalex.org/W4390374576","https://openalex.org/W2069116532","https://openalex.org/W2964850913","https://openalex.org/W4220751573","https://openalex.org/W3112793975","https://openalex.org/W2047053200","https://openalex.org/W2091852824","https://openalex.org/W2977025280","https://openalex.org/W4312532137"],"abstract_inverted_index":{"In":[0],"the":[1,16,24,33,52],"present":[2],"study,":[3],"we":[4,31],"consider":[5],"a":[6],"thermal-Timoshenko-beam":[7],"system":[8],"with":[9],"suspenders":[10],"and":[11,28,35,41],"Kelvin\u2013Voigt":[12],"damping":[13],"type,":[14],"where":[15],"heat":[17],"is":[18],"given":[19],"by":[20],"Cattaneo's":[21],"law.":[22],"Using":[23],"existing":[25],"semi-group":[26],"theory":[27],"energy":[29],"method,":[30],"establish":[32],"existence":[34],"uniqueness":[36],"of":[37,55],"weak":[38],"global":[39],"solution,":[40],"an":[42],"exponential":[43],"stability":[44],"result.":[45],"The":[46],"results":[47],"are":[48],"obtained":[49],"without":[50],"imposing":[51],"equal-wave":[53],"speed":[54],"propagation":[56],"condition.":[57],"2010":[58],"MSC:":[59],"35D30,":[60],"35D35,":[61],"35B35.":[62]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-28T09:10:13.091523","created_date":"2025-10-10T00:00:00"}