{"id":"https://openalex.org/W2068286643","doi":"https://doi.org/10.1016/j.ymssp.2013.08.031","title":"On the computation of the slow dynamics of nonlinear modes of mechanical systems","display_name":"On the computation of the slow dynamics of nonlinear modes of mechanical systems","publication_year":2013,"publication_date":"2013-09-20","ids":{"openalex":"https://openalex.org/W2068286643","doi":"https://doi.org/10.1016/j.ymssp.2013.08.031","mag":"2068286643"},"language":"en","primary_location":{"id":"doi:10.1016/j.ymssp.2013.08.031","doi":"https://doi.org/10.1016/j.ymssp.2013.08.031","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ymssp.2013.08.031","pdf_url":null,"source":{"id":"https://openalex.org/S128368299","display_name":"Mechanical Systems and Signal Processing","issn_l":"0888-3270","issn":["0888-3270","1096-1216"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-3","norway-1","poland-200","russia-white-list-1","vabb-shw"],"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":"Mechanical Systems and Signal Processing","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2012.14469","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076773534","display_name":"Malte Krack","orcid":"https://orcid.org/0000-0001-7154-1160","observed_orcids":["https://orcid.org/0000-0001-7154-1160"]},"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":"Malte Krack","raw_affiliation_strings":["Institute of Dynamics and Vibration Research, Leibniz Universit\u00e4t Hannover, 30167 Hannover, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Dynamics and Vibration Research, Leibniz Universit\u00e4t Hannover, 30167 Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108218877","display_name":"Lars Panning\u2010von Scheidt","orcid":null,"observed_orcids":[]},"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":"Lars Panning-von Scheidt","raw_affiliation_strings":["Institute of Dynamics and Vibration Research, Leibniz Universit\u00e4t Hannover, 30167 Hannover, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Dynamics and Vibration Research, Leibniz Universit\u00e4t Hannover, 30167 Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085589781","display_name":"J\u00f6rg Wallaschek","orcid":"https://orcid.org/0000-0003-1410-3687","observed_orcids":["https://orcid.org/0000-0003-1410-3687"]},"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":"J\u00f6rg Wallaschek","raw_affiliation_strings":["Institute of Dynamics and Vibration Research, Leibniz Universit\u00e4t Hannover, 30167 Hannover, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Dynamics and Vibration Research, Leibniz Universit\u00e4t Hannover, 30167 Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076773534"],"corresponding_institution_ids":["https://openalex.org/I114112103"],"apc_list":{"value":4730,"currency":"USD","value_usd":4730},"apc_paid":null,"fwci":1.5654,"has_fulltext":true,"cited_by_count":43,"citation_normalized_percentile":{"value":0.82859387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"42","issue":"1-2","first_page":"71","last_page":"87"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.6371999979019165,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.6371999979019165,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.22120000422000885,"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/T12435","display_name":"Bladed Disk Vibration Dynamics","score":0.09459999948740005,"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/nonlinear-mechanical-systems","display_name":"nonlinear mechanical systems","score":0.6819999814033508},{"id":"https://openalex.org/keywords/slow-dynamics","display_name":"slow dynamics","score":0.7070000171661377},{"id":"https://openalex.org/keywords/nonlinear-modes","display_name":"nonlinear modes","score":0.7250000238418579},{"id":"https://openalex.org/keywords/model-reduction","display_name":"model reduction","score":0.7379999756813049},{"id":"https://openalex.org/keywords/limit-cycles","display_name":"limit cycles","score":0.7419999837875366},{"id":"https://openalex.org/keywords/unilateral-contact","display_name":"unilateral contact","score":0.972000002861023},{"id":"https://openalex.org/keywords/friction","display_name":"friction","score":0.925000011920929},{"id":"https://openalex.org/keywords/unsteady-vibrations","display_name":"unsteady vibrations","score":0.8460000157356262},{"id":"https://openalex.org/keywords/steady-state-dynamics","display_name":"steady-state dynamics","score":0.593999981880188},{"id":"https://openalex.org/keywords/finite-element-model","display_name":"finite element model","score":0.7459999918937683}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.8555420637130737},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6334654092788696},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.6151896715164185},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.5818377733230591},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5754624009132385},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.5373420119285583},{"id":"https://openalex.org/C171912257","wikidata":"https://www.wikidata.org/wiki/Q11019","display_name":"Mechanical system","level":2,"score":0.5300034284591675},{"id":"https://openalex.org/C167020490","wikidata":"https://www.wikidata.org/wiki/Q3457902","display_name":"Nonlinear resonance","level":3,"score":0.510684072971344},{"id":"https://openalex.org/C104286136","wikidata":"https://www.wikidata.org/wiki/Q1416137","display_name":"Modal analysis","level":3,"score":0.500572919845581},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.48972776532173157},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.46664121747016907},{"id":"https://openalex.org/C32758168","wikidata":"https://www.wikidata.org/wiki/Q900488","display_name":"Normal mode","level":3,"score":0.43508821725845337},{"id":"https://openalex.org/C2781256830","wikidata":"https://www.wikidata.org/wiki/Q210729","display_name":"Nonlinear element","level":3,"score":0.43175289034843445},{"id":"https://openalex.org/C139210041","wikidata":"https://www.wikidata.org/wiki/Q2145840","display_name":"Resonance (particle physics)","level":2,"score":0.4200526177883148},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3650352954864502},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34703385829925537},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3347695469856262},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.25956493616104126},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.1945486068725586},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11501875519752502},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.11301976442337036},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.10404127836227417},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0881635844707489},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.ymssp.2013.08.031","doi":"https://doi.org/10.1016/j.ymssp.2013.08.031","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ymssp.2013.08.031","pdf_url":null,"source":{"id":"https://openalex.org/S128368299","display_name":"Mechanical Systems and Signal Processing","issn_l":"0888-3270","issn":["0888-3270","1096-1216"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-3","norway-1","poland-200","russia-white-list-1","vabb-shw"],"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":"Mechanical Systems and Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2012.14469","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.14469","pdf_url":"https://arxiv.org/pdf/2012.14469","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2012.14469","doi":"https://doi.org/10.48550/arxiv.2012.14469","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2012.14469","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2012.14469","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.14469","pdf_url":"https://arxiv.org/pdf/2012.14469","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2068286643.pdf","grobid_xml":"https://content.openalex.org/works/W2068286643.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W52970779","https://openalex.org/W116366589","https://openalex.org/W1534147673","https://openalex.org/W1560827512","https://openalex.org/W1632346486","https://openalex.org/W1980436790","https://openalex.org/W1983395100","https://openalex.org/W1988731746","https://openalex.org/W1990353179","https://openalex.org/W1998089100","https://openalex.org/W1999319506","https://openalex.org/W2000339543","https://openalex.org/W2007323018","https://openalex.org/W2022432568","https://openalex.org/W2027241662","https://openalex.org/W2032225808","https://openalex.org/W2037758750","https://openalex.org/W2038462690","https://openalex.org/W2040308255","https://openalex.org/W2042314550","https://openalex.org/W2048797043","https://openalex.org/W2059521275","https://openalex.org/W2063004206","https://openalex.org/W2075770759","https://openalex.org/W2081474328","https://openalex.org/W2081742229","https://openalex.org/W2081816570","https://openalex.org/W2109439076","https://openalex.org/W2112957079","https://openalex.org/W2123310344","https://openalex.org/W2139733245","https://openalex.org/W2152537652","https://openalex.org/W2159750040","https://openalex.org/W2305318318","https://openalex.org/W3022775455","https://openalex.org/W4231409469","https://openalex.org/W4238132804","https://openalex.org/W4238642583","https://openalex.org/W4246103099","https://openalex.org/W4249612365","https://openalex.org/W6730754197"],"related_works":["https://openalex.org/W3165267229","https://openalex.org/W1998089100","https://openalex.org/W2024028033","https://openalex.org/W1526891288","https://openalex.org/W2131989221","https://openalex.org/W2982111168","https://openalex.org/W7101073703","https://openalex.org/W2238721014","https://openalex.org/W7005124008","https://openalex.org/W7149963203"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
