{"id":"https://openalex.org/W2007014860","doi":"https://doi.org/10.1016/j.compstruc.2005.09.030","title":"Geometrically non-linear free vibrations of clamped\u2013clamped beams with an edge crack","display_name":"Geometrically non-linear free vibrations of clamped\u2013clamped beams with an edge crack","publication_year":2005,"publication_date":"2005-12-16","ids":{"openalex":"https://openalex.org/W2007014860","doi":"https://doi.org/10.1016/j.compstruc.2005.09.030","mag":"2007014860"},"language":"en","primary_location":{"id":"doi:10.1016/j.compstruc.2005.09.030","doi":"https://doi.org/10.1016/j.compstruc.2005.09.030","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.compstruc.2005.09.030","pdf_url":null,"source":{"id":"https://openalex.org/S111482492","display_name":"Computers & Structures","issn_l":"0045-7949","issn":["0045-7949","1879-2243"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Structures","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5059048420","display_name":"Khalid El Bikri","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K. El Bikri","raw_affiliation_strings":["Ecole Normale Sup\u00e9rieure d\u2019Enseignement Technique de Rabat, Laboratoire de M\u00e9canique Appliqu\u00e9e et Technologie, Rabat Instituts, Rabat, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Normale Sup\u00e9rieure d\u2019Enseignement Technique de Rabat, Laboratoire de M\u00e9canique Appliqu\u00e9e et Technologie, Rabat Instituts, Rabat, Morocco","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046156906","display_name":"Rhali Benamar","orcid":"https://orcid.org/0000-0002-0907-8897","observed_orcids":["https://orcid.org/0000-0002-0907-8897"]},"institutions":[{"id":"https://openalex.org/I127336678","display_name":"Ecole Mohammadia d'Ing\u00e9nieurs","ror":"https://ror.org/00md3qm14","country_code":"MA","type":"education","lineage":["https://openalex.org/I127336678"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"R. Benamar","raw_affiliation_strings":["Ecole Mohammadia d\u2019Ing\u00e9nieures, D\u00e9partement des E.G.T., Laboratoire d\u2019Etude et de Recherche en Simulation, Instrumentation et Mesures, BP 765 Agdal, Rabat, Morocco","Ecole Mohammadia d'Ing\u00e9nieures, D\u00e9partement des E.G.T., Laboratoire d'Etude et de Recherche en Simulation, Instrumentation et Mesures, BP 765 Agdal, Rabat, Morocco#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Mohammadia d\u2019Ing\u00e9nieures, D\u00e9partement des E.G.T., Laboratoire d\u2019Etude et de Recherche en Simulation, Instrumentation et Mesures, BP 765 Agdal, Rabat, Morocco","institution_ids":["https://openalex.org/I127336678"]},{"raw_affiliation_string":"Ecole Mohammadia d'Ing\u00e9nieures, D\u00e9partement des E.G.T., Laboratoire d'Etude et de Recherche en Simulation, Instrumentation et Mesures, BP 765 Agdal, Rabat, Morocco#TAB#","institution_ids":["https://openalex.org/I127336678"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077826136","display_name":"M. Bennouna","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I127336678","display_name":"Ecole Mohammadia d'Ing\u00e9nieurs","ror":"https://ror.org/00md3qm14","country_code":"MA","type":"education","lineage":["https://openalex.org/I127336678"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"M.M. Bennouna","raw_affiliation_strings":["Ecole Mohammadia d\u2019Ing\u00e9nieures, D\u00e9partement G\u00e9nie M\u00e9canique, Laboratoire de Vibration et Acoustique, BP 765, Agdal, Rabat, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Mohammadia d\u2019Ing\u00e9nieures, D\u00e9partement G\u00e9nie M\u00e9canique, Laboratoire de Vibration et Acoustique, BP 765, Agdal, Rabat, Morocco","institution_ids":["https://openalex.org/I127336678"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5046156906"],"corresponding_institution_ids":["https://openalex.org/I127336678"],"apc_list":{"value":4200,"currency":"USD","value_usd":4200},"apc_paid":null,"fwci":2.7733,"has_fulltext":false,"cited_by_count":59,"citation_normalized_percentile":{"value":0.88812227,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"84","issue":"7","first_page":"485","last_page":"502"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12206","display_name":"Vibration and Dynamic Analysis","score":0.49709999561309814,"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":0.49709999561309814,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.4147999882698059,"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"}},{"id":"https://openalex.org/T12435","display_name":"Bladed Disk Vibration Dynamics","score":0.027499999850988388,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/clamped-clamped-beam","display_name":"clamped-clamped beam","score":0.7870000004768372},{"id":"https://openalex.org/keywords/edge-cracking","display_name":"edge cracks","score":0.7519999742507935},{"id":"https://openalex.org/keywords/rayleigh-ritz-method","display_name":"Rayleigh-Ritz method","score":0.8629999756813049},{"id":"https://openalex.org/keywords/amplitude-frequency-response","display_name":"amplitude-frequency response","score":0.6610000133514404},{"id":"https://openalex.org/keywords/backbone-curves","display_name":"backbone curves","score":0.9509999752044678},{"id":"https://openalex.org/keywords/crack-depth","display_name":"crack depth","score":0.675000011920929},{"id":"https://openalex.org/keywords/fundamental-mode","display_name":"fundamental mode","score":0.7440000176429749},{"id":"https://openalex.org/keywords/explicit-solutions","display_name":"explicit solutions","score":0.5080000162124634},{"id":"https://openalex.org/keywords/fundamental-resonance","display_name":"fundamental resonance","score":0.4339999854564667}],"concepts":[{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.6871221661567688},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.5408158898353577},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5132732391357422},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5029045939445496},{"id":"https://openalex.org/C32758168","wikidata":"https://www.wikidata.org/wiki/Q900488","display_name":"Normal mode","level":3,"score":0.4970281422138214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4934479296207428},{"id":"https://openalex.org/C78736273","wikidata":"https://www.wikidata.org/wiki/Q946764","display_name":"Natural frequency","level":3,"score":0.4747886061668396},{"id":"https://openalex.org/C70940138","wikidata":"https://www.wikidata.org/wiki/Q852247","display_name":"Rayleigh\u2013Ritz method","level":3,"score":0.45682787895202637},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.4432791471481323},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3286828398704529},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.31009936332702637},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20024287700653076},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11438754200935364},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.09884154796600342},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.compstruc.2005.09.030","doi":"https://doi.org/10.1016/j.compstruc.2005.09.030","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.compstruc.2005.09.030","pdf_url":null,"source":{"id":"https://openalex.org/S111482492","display_name":"Computers & Structures","issn_l":"0045-7949","issn":["0045-7949","1879-2243"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers &amp; Structures","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W105059184","https://openalex.org/W585910595","https://openalex.org/W1482953092","https://openalex.org/W1521327797","https://openalex.org/W1590357316","https://openalex.org/W1591175830","https://openalex.org/W1659294350","https://openalex.org/W1965025775","https://openalex.org/W1965596541","https://openalex.org/W1966200172","https://openalex.org/W1971017206","https://openalex.org/W1972075945","https://openalex.org/W1980050119","https://openalex.org/W1981988632","https://openalex.org/W1983834812","https://openalex.org/W1987148338","https://openalex.org/W1990806492","https://openalex.org/W1990877447","https://openalex.org/W1997359704","https://openalex.org/W2000688752","https://openalex.org/W2001291492","https://openalex.org/W2005671160","https://openalex.org/W2005768201","https://openalex.org/W2013685844","https://openalex.org/W2017711571","https://openalex.org/W2027631968","https://openalex.org/W2028017637","https://openalex.org/W2029898739","https://openalex.org/W2030276379","https://openalex.org/W2031921006","https://openalex.org/W2037091440","https://openalex.org/W2043699071","https://openalex.org/W2044296994","https://openalex.org/W2045831595","https://openalex.org/W2056235384","https://openalex.org/W2059841801","https://openalex.org/W2060833188","https://openalex.org/W2077278723","https://openalex.org/W2089494092","https://openalex.org/W2090684056","https://openalex.org/W2105891601","https://openalex.org/W2136261235","https://openalex.org/W2142532709","https://openalex.org/W2160702083","https://openalex.org/W2297929186","https://openalex.org/W2594216532","https://openalex.org/W2883415496","https://openalex.org/W3022289614"],"related_works":["https://openalex.org/W2370527614","https://openalex.org/W2913945980","https://openalex.org/W2106141267","https://openalex.org/W6958230565","https://openalex.org/W2024707389","https://openalex.org/W2593271876","https://openalex.org/W7167499213","https://openalex.org/W2964306648","https://openalex.org/W2088362001","https://openalex.org/W2072828085"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
