{"id":"https://openalex.org/W2999369519","doi":"https://doi.org/10.1080/00207160.2020.1711887","title":"A fixed point iteration approach for analyzing the pull-in dynamics of beam-type electromechanical actuators","display_name":"A fixed point iteration approach for analyzing the pull-in dynamics of beam-type electromechanical actuators","publication_year":2020,"publication_date":"2020-01-07","ids":{"openalex":"https://openalex.org/W2999369519","doi":"https://doi.org/10.1080/00207160.2020.1711887","mag":"2999369519"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2020.1711887","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1711887","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5092103025","display_name":"Heba Alkafri","orcid":null},"institutions":[{"id":"https://openalex.org/I91044093","display_name":"Zayed University","ror":"https://ror.org/03snqfa66","country_code":"AE","type":"education","lineage":["https://openalex.org/I91044093"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Heba Q. ALKafri","raw_affiliation_strings":["Science, Math and Technology Department, Zayed University, Abu Dhabi, UAE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Science, Math and Technology Department, Zayed University, Abu Dhabi, UAE","institution_ids":["https://openalex.org/I91044093"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090029811","display_name":"Vedat Suat Ert\u00fcrk","orcid":"https://orcid.org/0000-0002-1322-8843"},"institutions":[{"id":"https://openalex.org/I227306068","display_name":"Ondokuz May\u0131s University","ror":"https://ror.org/028k5qw24","country_code":"TR","type":"education","lineage":["https://openalex.org/I227306068"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Vedat S. Erturk","raw_affiliation_strings":["Department of Mathematics, Faculty of Arts and Sciences, Ondokuz May\u0131s University, Samsun, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Arts and Sciences, Ondokuz May\u0131s University, Samsun, Turkey","institution_ids":["https://openalex.org/I227306068"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090029811"],"corresponding_institution_ids":["https://openalex.org/I227306068"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00714065,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"97","issue":"12","first_page":"2531","last_page":"2545"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11449","display_name":"Mechanical and Optical Resonators","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11449","display_name":"Mechanical and Optical Resonators","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10369","display_name":"Advanced MEMS and NEMS Technologies","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11646","display_name":"Nonlocal and gradient elasticity in micro/nano structures","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/casimir-effect","display_name":"Casimir effect","score":0.7687029838562012},{"id":"https://openalex.org/keywords/cantilever","display_name":"Cantilever","score":0.7479188442230225},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6612652540206909},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6061990857124329},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.5932393074035645},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5837398767471313},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.5126897096633911},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4999063014984131},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4854033887386322},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4602867662906647},{"id":"https://openalex.org/keywords/nanoelectromechanical-systems","display_name":"Nanoelectromechanical systems","score":0.449036568403244},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4457022249698639},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.41663116216659546},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3399795591831207},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.2260054647922516},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2065381109714508},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18571650981903076},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17669615149497986},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1458684802055359},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.11720976233482361},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07926249504089355}],"concepts":[{"id":"https://openalex.org/C106881136","wikidata":"https://www.wikidata.org/wiki/Q275393","display_name":"Casimir effect","level":2,"score":0.7687029838562012},{"id":"https://openalex.org/C141354745","wikidata":"https://www.wikidata.org/wiki/Q17227","display_name":"Cantilever","level":2,"score":0.7479188442230225},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6612652540206909},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6061990857124329},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.5932393074035645},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5837398767471313},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.5126897096633911},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4999063014984131},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4854033887386322},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4602867662906647},{"id":"https://openalex.org/C173409883","wikidata":"https://www.wikidata.org/wiki/Q175593","display_name":"Nanoelectromechanical systems","level":4,"score":0.449036568403244},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4457022249698639},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.41663116216659546},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3399795591831207},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2260054647922516},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2065381109714508},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18571650981903076},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17669615149497986},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1458684802055359},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.11720976233482361},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07926249504089355},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C15083742","wikidata":"https://www.wikidata.org/wiki/Q261659","display_name":"Nanomedicine","level":3,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C155672457","wikidata":"https://www.wikidata.org/wiki/Q61231","display_name":"Nanoparticle","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2020.1711887","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1711887","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1793466642","https://openalex.org/W1973915886","https://openalex.org/W1974769317","https://openalex.org/W1988433345","https://openalex.org/W2003786856","https://openalex.org/W2008212780","https://openalex.org/W2024694096","https://openalex.org/W2030371799","https://openalex.org/W2042200963","https://openalex.org/W2074844644","https://openalex.org/W2095257778","https://openalex.org/W2165409209","https://openalex.org/W2170742219","https://openalex.org/W2335127998","https://openalex.org/W2546523964","https://openalex.org/W2548733078","https://openalex.org/W2741358924","https://openalex.org/W2755634171","https://openalex.org/W2900590754","https://openalex.org/W4237802791"],"related_works":["https://openalex.org/W2963680512","https://openalex.org/W2012809549","https://openalex.org/W4298183626","https://openalex.org/W2326718576","https://openalex.org/W3103494328","https://openalex.org/W2062684063","https://openalex.org/W2165317375","https://openalex.org/W2316946632","https://openalex.org/W2140478724","https://openalex.org/W2027775251"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,10,31],"numerical":[4,93],"approach":[5],"is":[6,69,76],"suggested":[7,120],"to":[8,110],"find":[9],"semi-analytical":[11],"solution":[12],"for":[13,62,95],"the":[14,43,46,53,83,112,119],"common":[15],"nonlinear":[16,37],"boundary":[17],"value":[18],"problems":[19],"(BVPs)":[20],"of":[21,33,45,55,65,85,98,118],"cantilever-type":[22],"micro-electromechanical":[23],"system":[24,28],"(MEMS)":[25],"and":[26,48,57,102,115],"nano-electromechanical":[27],"(NEMS)":[29],"with":[30,82,104],"set":[32],"model":[34],"parameters.":[35],"The":[36,67,92],"BVPs":[38],"that":[39,75],"are":[40,100],"studied":[41],"involve":[42],"states":[44],"single":[47],"double":[49],"cantilever-shaped":[50],"beams":[51],"under":[52],"influence":[54],"Casimir":[56],"Van":[58],"der":[59],"Waals":[60],"force":[61],"proper":[63],"distances":[64],"separation.":[66],"method":[68],"based":[70],"upon":[71],"an":[72],"integral":[73],"operator":[74],"formed":[77],"considering":[78],"Green\u2019s":[79],"function":[80],"connected":[81],"execution":[84],"Picard\u2019s":[86],"or":[87],"Mann\u2019s":[88],"fixed":[89],"point":[90],"schemes.":[91],"results":[94],"different":[96],"cases":[97],"beam":[99],"presented":[101],"compared":[103],"those":[105],"obtained":[106],"by":[107],"previous":[108],"works":[109],"show":[111],"applicability,":[113],"efficiency,":[114],"high":[116],"accuracy":[117],"method.":[121]},"counts_by_year":[],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}