{"id":"https://openalex.org/W3007226746","doi":"https://doi.org/10.1007/s00366-020-00987-z","title":"Implementation of non-probabilistic methods for stability analysis of nonlocal beam with structural uncertainties","display_name":"Implementation of non-probabilistic methods for stability analysis of nonlocal beam with structural uncertainties","publication_year":2020,"publication_date":"2020-02-22","ids":{"openalex":"https://openalex.org/W3007226746","doi":"https://doi.org/10.1007/s00366-020-00987-z","mag":"3007226746"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-020-00987-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-020-00987-z","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","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/A5079908443","display_name":"Subrat Kumar Jena","orcid":"https://orcid.org/0000-0003-4748-9483"},"institutions":[{"id":"https://openalex.org/I16292982","display_name":"National Institute of Technology Rourkela","ror":"https://ror.org/011gmn932","country_code":"IN","type":"education","lineage":["https://openalex.org/I16292982"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Subrat Kumar Jena","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, 769008, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, 769008, India","institution_ids":["https://openalex.org/I16292982"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017042977","display_name":"Snehashish Chakraverty","orcid":"https://orcid.org/0000-0003-4857-644X"},"institutions":[{"id":"https://openalex.org/I16292982","display_name":"National Institute of Technology Rourkela","ror":"https://ror.org/011gmn932","country_code":"IN","type":"education","lineage":["https://openalex.org/I16292982"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Chakraverty","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, 769008, India"],"raw_orcid":"https://orcid.org/0000-0003-4857-644X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, 769008, India","institution_ids":["https://openalex.org/I16292982"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068183982","display_name":"Mohammad Malikan","orcid":"https://orcid.org/0000-0001-7356-2168"},"institutions":[{"id":"https://openalex.org/I169333911","display_name":"Gda\u0144sk University of Technology","ror":"https://ror.org/006x4sc24","country_code":"PL","type":"education","lineage":["https://openalex.org/I169333911"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Mohammad Malikan","raw_affiliation_strings":["Department of Mechanics of Materials and Structures, Faculty of Civil and Environmental Engineering, Gdansk University of Technology, ul. G. Narutowicza 11/12, 80-233, Gda\u0144sk, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanics of Materials and Structures, Faculty of Civil and Environmental Engineering, Gdansk University of Technology, ul. G. Narutowicza 11/12, 80-233, Gda\u0144sk, Poland","institution_ids":["https://openalex.org/I169333911"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5079908443"],"corresponding_institution_ids":["https://openalex.org/I16292982"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.694,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.95892702,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"37","issue":"4","first_page":"2957","last_page":"2969"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9994000196456909,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11646","display_name":"Nonlocal and gradient elasticity in micro/nano structures","score":0.9955999851226807,"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/buckling","display_name":"Buckling","score":0.8194280862808228},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6905055046081543},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6606918573379517},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.6449615955352783},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.544087290763855},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.541067361831665},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5253481268882751},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.5163799524307251},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.48933571577072144},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.46372172236442566},{"id":"https://openalex.org/keywords/method-of-mean-weighted-residuals","display_name":"Method of mean weighted residuals","score":0.44474703073501587},{"id":"https://openalex.org/keywords/critical-load","display_name":"Critical load","score":0.44431963562965393},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.427043616771698},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4145907461643219},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.4112863540649414},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36414799094200134},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3334805369377136},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2840237617492676},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27802032232284546},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20306706428527832},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1788254976272583}],"concepts":[{"id":"https://openalex.org/C85476182","wikidata":"https://www.wikidata.org/wiki/Q693104","display_name":"Buckling","level":2,"score":0.8194280862808228},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6905055046081543},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6606918573379517},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.6449615955352783},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.544087290763855},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.541067361831665},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5253481268882751},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.5163799524307251},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.48933571577072144},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.46372172236442566},{"id":"https://openalex.org/C159674985","wikidata":"https://www.wikidata.org/wiki/Q6823718","display_name":"Method of mean weighted residuals","level":4,"score":0.44474703073501587},{"id":"https://openalex.org/C2777457327","wikidata":"https://www.wikidata.org/wiki/Q11254316","display_name":"Critical load","level":3,"score":0.44431963562965393},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.427043616771698},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4145907461643219},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4112863540649414},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36414799094200134},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3334805369377136},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2840237617492676},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27802032232284546},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20306706428527832},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1788254976272583},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00366-020-00987-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-020-00987-z","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","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":60,"referenced_works":["https://openalex.org/W637674366","https://openalex.org/W2034036934","https://openalex.org/W2045330405","https://openalex.org/W2057223503","https://openalex.org/W2068871408","https://openalex.org/W2069344959","https://openalex.org/W2072718774","https://openalex.org/W2083576480","https://openalex.org/W2085065034","https://openalex.org/W2090188179","https://openalex.org/W2117070417","https://openalex.org/W2125945589","https://openalex.org/W2138425920","https://openalex.org/W2264612872","https://openalex.org/W2464721418","https://openalex.org/W2496163386","https://openalex.org/W2515028150","https://openalex.org/W2559583062","https://openalex.org/W2763202282","https://openalex.org/W2765115391","https://openalex.org/W2770298579","https://openalex.org/W2791134207","https://openalex.org/W2799384012","https://openalex.org/W2807091028","https://openalex.org/W2809044175","https://openalex.org/W2885010925","https://openalex.org/W2886535166","https://openalex.org/W2893031975","https://openalex.org/W2898333537","https://openalex.org/W2899364166","https://openalex.org/W2903195988","https://openalex.org/W2904118245","https://openalex.org/W2911584126","https://openalex.org/W2912565176","https://openalex.org/W2913717190","https://openalex.org/W2914630889","https://openalex.org/W2937324248","https://openalex.org/W2946342728","https://openalex.org/W2953023544","https://openalex.org/W2966881650","https://openalex.org/W2969838770","https://openalex.org/W2973135718","https://openalex.org/W2973773319","https://openalex.org/W2977119150","https://openalex.org/W2981477436","https://openalex.org/W2981583060","https://openalex.org/W2982356663","https://openalex.org/W2986087521","https://openalex.org/W2987709171","https://openalex.org/W2991464456","https://openalex.org/W2993678340","https://openalex.org/W2995902812","https://openalex.org/W2998910175","https://openalex.org/W2999633683","https://openalex.org/W3000168924","https://openalex.org/W3001550565","https://openalex.org/W3003246251","https://openalex.org/W3007226746","https://openalex.org/W4211007335","https://openalex.org/W4251663774"],"related_works":["https://openalex.org/W2562321665","https://openalex.org/W3116977977","https://openalex.org/W2351272910","https://openalex.org/W4238745867","https://openalex.org/W2376181582","https://openalex.org/W2351257627","https://openalex.org/W2368732852","https://openalex.org/W1891537875","https://openalex.org/W2027900078","https://openalex.org/W2032851527"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":14}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}