{"id":"https://openalex.org/W4327576589","doi":"https://doi.org/10.1007/s00502-023-01125-5","title":"The analytical beam element model: novel approach for fast calculation of vibrations in electric machines","display_name":"The analytical beam element model: novel approach for fast calculation of vibrations in electric machines","publication_year":2023,"publication_date":"2023-03-16","ids":{"openalex":"https://openalex.org/W4327576589","doi":"https://doi.org/10.1007/s00502-023-01125-5"},"language":"en","primary_location":{"id":"doi:10.1007/s00502-023-01125-5","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00502-023-01125-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00502-023-01125-5.pdf","source":{"id":"https://openalex.org/S36874608","display_name":"e+i Elektrotechnik und Informationstechnik","issn_l":"0932-383X","issn":["0932-383X","1613-7620"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"e &amp; i Elektrotechnik und Informationstechnik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00502-023-01125-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068068144","display_name":"Martin Gerlach","orcid":"https://orcid.org/0000-0002-6932-8480"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Martin Enno Gerlach","raw_affiliation_strings":["Institute for Drive Systems and Power Electronics, Leibniz University Hannover, Welfengarten\u00a01, 30167, Hannover, Germany"],"raw_orcid":"https://orcid.org/0000-0002-6932-8480","affiliations":[{"raw_affiliation_string":"Institute for Drive Systems and Power Electronics, Leibniz University Hannover, Welfengarten\u00a01, 30167, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050065437","display_name":"Allan de Barros","orcid":"https://orcid.org/0000-0003-0740-1715"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Allan de Barros","raw_affiliation_strings":["Institute for Drive Systems and Power Electronics, Leibniz University Hannover, Welfengarten\u00a01, 30167, Hannover, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Drive Systems and Power Electronics, Leibniz University Hannover, Welfengarten\u00a01, 30167, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084151571","display_name":"Xudong Huang","orcid":"https://orcid.org/0000-0003-2375-3913"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Xudong Huang","raw_affiliation_strings":["Institute for Drive Systems and Power Electronics, Leibniz University Hannover, Welfengarten\u00a01, 30167, Hannover, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Drive Systems and Power Electronics, Leibniz University Hannover, Welfengarten\u00a01, 30167, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051411699","display_name":"Markus Langfermann","orcid":null},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Markus Langfermann","raw_affiliation_strings":["Institute for Drive Systems and Power Electronics, Leibniz University Hannover, Welfengarten\u00a01, 30167, Hannover, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Drive Systems and Power Electronics, Leibniz University Hannover, Welfengarten\u00a01, 30167, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076145620","display_name":"Bernd Ponick","orcid":"https://orcid.org/0000-0002-7762-2209"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernd Ponick","raw_affiliation_strings":["Institute for Drive Systems and Power Electronics, Leibniz University Hannover, Welfengarten\u00a01, 30167, Hannover, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Drive Systems and Power Electronics, Leibniz University Hannover, Welfengarten\u00a01, 30167, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101685381","display_name":"Amir Ebrahimi","orcid":"https://orcid.org/0000-0001-7549-172X"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Amir Ebrahimi","raw_affiliation_strings":["Institute for Drive Systems and Power Electronics, Leibniz University Hannover, Welfengarten\u00a01, 30167, Hannover, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Drive Systems and Power Electronics, Leibniz University Hannover, Welfengarten\u00a01, 30167, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5068068144"],"corresponding_institution_ids":["https://openalex.org/I114112103"],"apc_list":{"value":2590,"currency":"EUR","value_usd":3090},"apc_paid":{"value":2590,"currency":"EUR","value_usd":3090},"fwci":0.1278,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.39774155,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"140","issue":"2","first_page":"290","last_page":"301"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10278","display_name":"Electric Motor Design and Analysis","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10278","display_name":"Electric Motor Design and Analysis","score":0.9998000264167786,"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/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9976999759674072,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stator","display_name":"Stator","score":0.6399259567260742},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5352739691734314},{"id":"https://openalex.org/keywords/timoshenko-beam-theory","display_name":"Timoshenko beam theory","score":0.5128358006477356},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.4843236207962036},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4781588017940521},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4642850458621979},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45804446935653687},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.4304346740245819},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35739731788635254},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.3005426526069641},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2624599039554596},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26212257146835327},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.25619399547576904},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.25170499086380005},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23516428470611572},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12831762433052063}],"concepts":[{"id":"https://openalex.org/C2776529397","wikidata":"https://www.wikidata.org/wiki/Q190312","display_name":"Stator","level":2,"score":0.6399259567260742},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5352739691734314},{"id":"https://openalex.org/C190699663","wikidata":"https://www.wikidata.org/wiki/Q2435044","display_name":"Timoshenko beam theory","level":3,"score":0.5128358006477356},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.4843236207962036},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4781588017940521},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4642850458621979},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45804446935653687},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.4304346740245819},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35739731788635254},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.3005426526069641},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2624599039554596},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26212257146835327},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.25619399547576904},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.25170499086380005},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23516428470611572},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12831762433052063}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00502-023-01125-5","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00502-023-01125-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00502-023-01125-5.pdf","source":{"id":"https://openalex.org/S36874608","display_name":"e+i Elektrotechnik und Informationstechnik","issn_l":"0932-383X","issn":["0932-383X","1613-7620"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"e &amp; i Elektrotechnik und Informationstechnik","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00502-023-01125-5","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00502-023-01125-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00502-023-01125-5.pdf","source":{"id":"https://openalex.org/S36874608","display_name":"e+i Elektrotechnik und Informationstechnik","issn_l":"0932-383X","issn":["0932-383X","1613-7620"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"e &amp; i Elektrotechnik und Informationstechnik","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.6299999952316284}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322379","display_name":"Gottfried Wilhelm Leibniz Universit\u00e4t Hannover","ror":"https://ror.org/0304hq317"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4327576589.pdf"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W2035646067","https://openalex.org/W2064017671","https://openalex.org/W2071129113","https://openalex.org/W2082957476","https://openalex.org/W2142406304","https://openalex.org/W2621194120","https://openalex.org/W2780524244","https://openalex.org/W3109705060","https://openalex.org/W3134874197","https://openalex.org/W3214352421","https://openalex.org/W4230423295","https://openalex.org/W4231361514","https://openalex.org/W4245460207","https://openalex.org/W4289532746","https://openalex.org/W4306148099","https://openalex.org/W4306148187"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W623794290","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W4362570672"],"abstract_inverted_index":{"Abstract":[0],"The":[1,74,147,197],"vibration":[2,30,69,165],"and":[3,37,86,98,118,124,154],"acoustic":[4],"behavior":[5,70,166],"of":[6,13,20,27,71,109,136,167,208],"electric":[7],"machines":[8],"is":[9,23,96,145,160],"an":[10,78],"important":[11],"aspect":[12],"the":[14,21,24,28,34,46,68,72,81,94,107,110,132,137,143,157,164,206,209],"design":[15],"process.":[16],"A":[17],"crucial":[18],"part":[19],"modeling":[22],"correct":[25],"prediction":[26],"stator\u2019s":[29,35],"behavior,":[31],"characterized":[32],"by":[33,114],"eigenfrequencies":[36],"eigenmodes.":[38],"For":[39],"this":[40,92],"purpose,":[41],"a":[42,55,119,127],"calculation":[43],"approach":[44],"called":[45],"analytical":[47,89],"beam":[48],"element":[49,83],"model":[50,95],"(ABM)":[51],"was":[52],"presented":[53,123],"in":[54],"previous":[56],"paper":[57],"[18],":[58],"where":[59],"Euler":[60],"\u2013":[61],"Bernoulli":[62],"beams":[63,117],"were":[64],"used":[65,161],"to":[66,80,87,104,142,151,162,185,201,204],"describe":[67,106],"stator.":[73],"ABM":[75,159],"introduced":[76],"offers":[77],"alternative":[79],"finite":[82],"(FE)":[84],"method":[85],"classical":[88],"models.":[90],"In":[91],"paper,":[93],"examined":[97],"extended":[99],"further.":[100],"Different":[101],"approaches":[102],"conceived":[103],"better":[105],"influence":[108],"stator":[111,138],"yoke\u2019s":[112],"thickness":[113],"using":[115],"Timoshenko":[116],"multi-layer":[120],"discretization":[121],"are":[122,149,199],"discussed.":[125],"Furthermore,":[126],"new":[128],"feature":[129],"that":[130],"considers":[131],"lever":[133],"arm":[134],"effect":[135],"teeth":[139],"with":[140,170],"respect":[141],"yoke":[144],"introduced.":[146],"results":[148,198,203],"compared":[150,200],"FE":[152,202],"calculations":[153],"measurements.":[155],"Lastly,":[156],"improved":[158],"calculate":[163],"four":[168],"stators":[169],"outer":[171],"diameters":[172],"ranging":[173],"from":[174],"$$160\\,\\text{mm}$$":[175],"<mml:math":[176,187],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[177,188],"<mml:mrow>":[178,189],"<mml:mn>160</mml:mn>":[179],"<mml:mspace":[180,191],"/>":[181,192],"<mml:mtext>mm</mml:mtext>":[182],"</mml:mrow>":[183,194],"</mml:math>":[184,195],"$$7\\,\\text{m}$$":[186],"<mml:mn>7</mml:mn>":[190],"<mml:mtext>m</mml:mtext>":[193],".":[196],"prove":[205],"accuracy":[207],"ABM.":[210]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-01-23T23:20:30.427331","created_date":"2025-10-10T00:00:00"}
