{"id":"https://openalex.org/W4382458041","doi":"https://doi.org/10.3390/computation11070123","title":"A FEM Structural Analysis of a Francis Turbine Blade Parametrized Using Piecewise Bernstein Polynomials","display_name":"A FEM Structural Analysis of a Francis Turbine Blade Parametrized Using Piecewise Bernstein Polynomials","publication_year":2023,"publication_date":"2023-06-26","ids":{"openalex":"https://openalex.org/W4382458041","doi":"https://doi.org/10.3390/computation11070123"},"language":"en","primary_location":{"id":"doi:10.3390/computation11070123","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11070123","pdf_url":"https://www.mdpi.com/2079-3197/11/7/123/pdf?version=1687857508","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/11/7/123/pdf?version=1687857508","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033552225","display_name":"Heriberto Arias-Rojas","orcid":"https://orcid.org/0000-0002-7641-8310"},"institutions":[{"id":"https://openalex.org/I173755004","display_name":"Universidad Michoacana de San Nicol\u00e1s de Hidalgo","ror":"https://ror.org/00z0kq074","country_code":"MX","type":"education","lineage":["https://openalex.org/I173755004"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Heriberto Arias-Rojas","raw_affiliation_strings":["Faculty of Civil Engineering, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58000, Michoac\u00e1n, Mexico","Faculty of Mathematical Physical Sciences, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58000, Michoac\u00e1n, Mexico"],"raw_orcid":"https://orcid.org/0000-0002-7641-8310","affiliations":[{"raw_affiliation_string":"Faculty of Civil Engineering, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58000, Michoac\u00e1n, Mexico","institution_ids":["https://openalex.org/I173755004"]},{"raw_affiliation_string":"Faculty of Mathematical Physical Sciences, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58000, Michoac\u00e1n, Mexico","institution_ids":["https://openalex.org/I173755004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092354023","display_name":"Miguel \u00c1ngel Rodr\u00edguez Velazquez","orcid":"https://orcid.org/0009-0009-7245-1517"},"institutions":[{"id":"https://openalex.org/I173755004","display_name":"Universidad Michoacana de San Nicol\u00e1s de Hidalgo","ror":"https://ror.org/00z0kq074","country_code":"MX","type":"education","lineage":["https://openalex.org/I173755004"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Miguel A. Rodr\u00edguez-Vel\u00e1zquez","raw_affiliation_strings":["Faculty of Civil Engineering, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58000, Michoac\u00e1n, Mexico"],"raw_orcid":"https://orcid.org/0009-0009-7245-1517","affiliations":[{"raw_affiliation_string":"Faculty of Civil Engineering, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58000, Michoac\u00e1n, Mexico","institution_ids":["https://openalex.org/I173755004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092354024","display_name":"\u00c1ngel Cerrite\u00f1o-S\u00e1nchez","orcid":"https://orcid.org/0000-0001-7925-0237"},"institutions":[{"id":"https://openalex.org/I173755004","display_name":"Universidad Michoacana de San Nicol\u00e1s de Hidalgo","ror":"https://ror.org/00z0kq074","country_code":"MX","type":"education","lineage":["https://openalex.org/I173755004"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"\u00c1ngel Cerrite\u00f1o-S\u00e1nchez","raw_affiliation_strings":["Faculty of Mechanical Engineering, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58000, Michoac\u00e1n, Mexico"],"raw_orcid":"https://orcid.org/0000-0001-7925-0237","affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58000, Michoac\u00e1n, Mexico","institution_ids":["https://openalex.org/I173755004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002451774","display_name":"Francisco J. Dom\u00ednguez-Mota","orcid":"https://orcid.org/0000-0001-6837-172X"},"institutions":[{"id":"https://openalex.org/I173755004","display_name":"Universidad Michoacana de San Nicol\u00e1s de Hidalgo","ror":"https://ror.org/00z0kq074","country_code":"MX","type":"education","lineage":["https://openalex.org/I173755004"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Francisco J. Dom\u00ednguez-Mota","raw_affiliation_strings":["Faculty of Civil Engineering, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58000, Michoac\u00e1n, Mexico","Faculty of Mathematical Physical Sciences, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58000, Michoac\u00e1n, Mexico"],"raw_orcid":"https://orcid.org/0000-0001-6837-172X","affiliations":[{"raw_affiliation_string":"Faculty of Civil Engineering, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58000, Michoac\u00e1n, Mexico","institution_ids":["https://openalex.org/I173755004"]},{"raw_affiliation_string":"Faculty of Mathematical Physical Sciences, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58000, Michoac\u00e1n, Mexico","institution_ids":["https://openalex.org/I173755004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005725417","display_name":"Sergio Galv\u00e1n","orcid":"https://orcid.org/0000-0002-6925-707X"},"institutions":[{"id":"https://openalex.org/I173755004","display_name":"Universidad Michoacana de San Nicol\u00e1s de Hidalgo","ror":"https://ror.org/00z0kq074","country_code":"MX","type":"education","lineage":["https://openalex.org/I173755004"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Sergio R. Galv\u00e1n-Gonz\u00e1lez","raw_affiliation_strings":["Faculty of Mechanical Engineering, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58000, Michoac\u00e1n, Mexico"],"raw_orcid":"https://orcid.org/0000-0002-6925-707X","affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58000, Michoac\u00e1n, Mexico","institution_ids":["https://openalex.org/I173755004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5033552225"],"corresponding_institution_ids":["https://openalex.org/I173755004"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.3262,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.49319669,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"11","issue":"7","first_page":"123","last_page":"123"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11202","display_name":"Cavitation Phenomena in Pumps","score":0.9986000061035156,"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/T11202","display_name":"Cavitation Phenomena in Pumps","score":0.9986000061035156,"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/T10514","display_name":"Numerical methods in engineering","score":0.9975000023841858,"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/T11372","display_name":"Hydraulic and Pneumatic Systems","score":0.9940000176429749,"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/piecewise","display_name":"Piecewise","score":0.6991233825683594},{"id":"https://openalex.org/keywords/blade","display_name":"Blade (archaeology)","score":0.6486928462982178},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5835897326469421},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5464027523994446},{"id":"https://openalex.org/keywords/turbine-blade","display_name":"Turbine blade","score":0.5350393652915955},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5218571424484253},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.4400196969509125},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43078121542930603},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.41954994201660156},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4170050621032715},{"id":"https://openalex.org/keywords/bernstein-polynomial","display_name":"Bernstein polynomial","score":0.41070088744163513},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38746216893196106},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3353680670261383},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.3107188940048218},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.294001966714859},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24489736557006836},{"id":"https://openalex.org/keywords/turbine","display_name":"Turbine","score":0.2401072084903717},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19975945353507996},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.17832434177398682},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.17279034852981567}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6991233825683594},{"id":"https://openalex.org/C2776132848","wikidata":"https://www.wikidata.org/wiki/Q3045036","display_name":"Blade (archaeology)","level":2,"score":0.6486928462982178},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5835897326469421},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5464027523994446},{"id":"https://openalex.org/C20381859","wikidata":"https://www.wikidata.org/wiki/Q829511","display_name":"Turbine blade","level":3,"score":0.5350393652915955},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5218571424484253},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.4400196969509125},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43078121542930603},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.41954994201660156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4170050621032715},{"id":"https://openalex.org/C34179328","wikidata":"https://www.wikidata.org/wiki/Q826841","display_name":"Bernstein polynomial","level":2,"score":0.41070088744163513},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38746216893196106},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3353680670261383},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3107188940048218},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.294001966714859},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24489736557006836},{"id":"https://openalex.org/C2778449969","wikidata":"https://www.wikidata.org/wiki/Q130760","display_name":"Turbine","level":2,"score":0.2401072084903717},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19975945353507996},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.17832434177398682},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.17279034852981567},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/computation11070123","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11070123","pdf_url":"https://www.mdpi.com/2079-3197/11/7/123/pdf?version=1687857508","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:f22aaaee5a224d5c9050f798faaa1c70","is_oa":true,"landing_page_url":"https://doaj.org/article/f22aaaee5a224d5c9050f798faaa1c70","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 11, Iss 7, p 123 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2079-3197/11/7/123/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/computation11070123","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation; Volume 11; Issue 7; Pages: 123","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/computation11070123","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11070123","pdf_url":"https://www.mdpi.com/2079-3197/11/7/123/pdf?version=1687857508","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6899999976158142,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[{"id":"https://openalex.org/F8474834503","display_name":"Centro Internacional de M\u00e9todos Num\u00e9ricos en Ingenier\u00eda","ror":"https://ror.org/03ej8a714"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4382458041.pdf"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W1493485281","https://openalex.org/W1974288061","https://openalex.org/W1981511599","https://openalex.org/W1983570119","https://openalex.org/W1996255494","https://openalex.org/W2000265451","https://openalex.org/W2013074461","https://openalex.org/W2070528777","https://openalex.org/W2078165879","https://openalex.org/W2086083751","https://openalex.org/W2094986219","https://openalex.org/W2137054355","https://openalex.org/W2182092816","https://openalex.org/W2258858525","https://openalex.org/W2313217870","https://openalex.org/W2331161810","https://openalex.org/W2338801766","https://openalex.org/W2512345705","https://openalex.org/W2555324902","https://openalex.org/W2592773381","https://openalex.org/W2620968354","https://openalex.org/W2752534101","https://openalex.org/W2803980561","https://openalex.org/W2886786993","https://openalex.org/W2920636365","https://openalex.org/W2941316830","https://openalex.org/W2967563425","https://openalex.org/W2968290519","https://openalex.org/W2968978315","https://openalex.org/W2969164555","https://openalex.org/W2979536598","https://openalex.org/W2986662434","https://openalex.org/W3012338431","https://openalex.org/W3119280259","https://openalex.org/W3150173372","https://openalex.org/W3171716420","https://openalex.org/W3172172556","https://openalex.org/W3172472800","https://openalex.org/W3201023302","https://openalex.org/W4298179649","https://openalex.org/W6653731770","https://openalex.org/W6680186630","https://openalex.org/W6766723939","https://openalex.org/W6767003595","https://openalex.org/W6770478395","https://openalex.org/W6981952406"],"related_works":["https://openalex.org/W2143306497","https://openalex.org/W2744747489","https://openalex.org/W2042189793","https://openalex.org/W2610918883","https://openalex.org/W2380628945","https://openalex.org/W2809572579","https://openalex.org/W2751738583","https://openalex.org/W2297388526","https://openalex.org/W2265028665","https://openalex.org/W2015503896"],"abstract_inverted_index":{"Several":[0],"methodologies":[1],"have":[2,44],"successfully":[3],"described":[4],"the":[5,16,71,91,95,108,115,126,131,149,157,166,174,178,193,199,204,215],"runner":[6,52],"blade":[7,96,122,135,146],"shape":[8],"as":[9,75,162],"a":[10,102,118,152,163,210,218],"set":[11],"of":[12,25,50,94,107,117,120,133,177,183,198,203,214,217],"discrete":[13],"sections":[14],"joining":[15],"hub":[17],"and":[18,104],"shroud,":[19],"defined":[20],"by":[21,54,67,81],"3D":[22],"geometrical":[23],"forms":[24],"considerable":[26],"complexity.":[27],"This":[28,111],"task":[29],"requires":[30],"an":[31],"appropriate":[32],"parametric":[33],"approach":[34,113],"for":[35,165],"its":[36,223],"accurate":[37],"reconstruction.":[38],"Among":[39],"them,":[40],"piecewise":[41],"Bernstein":[42],"polynomials":[43],"been":[45],"used":[46,168],"to":[47,64,100,143,172],"create":[48],"parametrizations":[49],"twisted":[51],"blades":[53,159],"extracting":[55],"some":[56],"cross-sectional":[57],"hydrofoil":[58,200],"profiles":[59,78,86],"from":[60],"reference":[61,109],"CAD":[62],"data":[63],"be":[65],"approximated":[66],"such":[68],"polynomials.":[69],"Using":[70],"interpolating":[72],"polynomial":[73],"coefficients":[74],"parameters,":[76],"more":[77],"are":[79,87,160,185],"generated":[80,85],"Lagrangian":[82],"techniques.":[83],"The":[84],"then":[88],"stacked":[89],"along":[90],"spanwise":[92],"direction":[93],"via":[97],"transfinite":[98],"interpolation":[99],"obtain":[101],"smooth":[103],"continuous":[105],"representation":[106],"blade.":[110],"versatile":[112],"makes":[114],"description":[116],"range":[119],"different":[121],"shapes":[123,147],"possible":[124,142],"within":[125],"required":[127],"accuracy":[128],"and,":[129],"furthermore,":[130],"design":[132],"new":[134,145,179],"shapes.":[136],"However,":[137],"even":[138],"though":[139],"it":[140],"is":[141,155],"redefine":[144],"using":[148],"aforementioned":[150],"parametrization,":[151],"remaining":[153],"question":[154],"whether":[156],"parametrized":[158],"suitable":[161],"replacement":[164],"currently":[167],"ones.":[169],"In":[170,187],"order":[171],"assess":[173],"mechanical":[175],"feasibility":[176],"shapes,":[180],"several":[181],"stages":[182],"analysis":[184,213],"required.":[186],"this":[188],"paper,":[189],"bearing":[190],"in":[191,227],"mind":[192],"standard":[194],"hydraulic":[195],"test":[196,201],"conditions":[197],"case":[202],"Norwegian":[205],"Hydropower":[206],"Center,":[207],"we":[208],"present":[209],"structural":[211],"stress\u2013strain":[212],"reparametrization":[216],"Francis":[219],"blade,":[220],"thus":[221],"showing":[222],"adequate":[224],"computational":[225],"performance":[226],"two":[228],"model":[229],"tests.":[230]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2023-06-29T00:00:00"}
