{"id":"https://openalex.org/W3004859378","doi":"https://doi.org/10.1109/access.2020.2972396","title":"Uncertain Frequency Responses of Clamp-Pipeline Systems Using an Interval-Based Method","display_name":"Uncertain Frequency Responses of Clamp-Pipeline Systems Using an Interval-Based Method","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3004859378","doi":"https://doi.org/10.1109/access.2020.2972396","mag":"3004859378"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.2972396","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2972396","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08986466.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08986466.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026202329","display_name":"Xumin Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xumin Guo","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101991849","display_name":"Hui Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Ma","raw_affiliation_strings":["Key Laboratory of Vibration and Control of Aero-Propulsion System Ministry of Education, Northeastern University, Shenyang, China","School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Vibration and Control of Aero-Propulsion System Ministry of Education, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021004981","display_name":"Xufang Zhang","orcid":"https://orcid.org/0000-0003-2860-5979"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xufang Zhang","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037604733","display_name":"Ye Zhuang","orcid":"https://orcid.org/0000-0002-7528-3469"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhuang Ye","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020529644","display_name":"Qiang Fu","orcid":"https://orcid.org/0000-0002-5490-2419"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Fu","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100413280","display_name":"Zhonghua Liu","orcid":"https://orcid.org/0000-0003-3048-9823"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhonghua Liu","raw_affiliation_strings":["Shenyang Engine Research Institute, AECC, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"Shenyang Engine Research Institute, AECC, Shenyang, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100766873","display_name":"Qingkai Han","orcid":"https://orcid.org/0000-0002-4418-3190"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingkai Han","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5026202329"],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":4.2466,"has_fulltext":true,"cited_by_count":39,"citation_normalized_percentile":{"value":0.95607955,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"8","issue":null,"first_page":"29370","last_page":"29384"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998000264167786,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11372","display_name":"Hydraulic and Pneumatic Systems","score":0.9860000014305115,"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/stiffness","display_name":"Stiffness","score":0.7285057902336121},{"id":"https://openalex.org/keywords/clamp","display_name":"Clamp","score":0.6774277687072754},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6504882574081421},{"id":"https://openalex.org/keywords/dispersion","display_name":"Dispersion (optics)","score":0.4726390242576599},{"id":"https://openalex.org/keywords/pipeline","display_name":"Pipeline (software)","score":0.47222471237182617},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.47013479471206665},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4699925184249878},{"id":"https://openalex.org/keywords/frequency-response","display_name":"Frequency response","score":0.458213746547699},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4442403018474579},{"id":"https://openalex.org/keywords/torque","display_name":"Torque","score":0.4235495328903198},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.3118872046470642},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3109254539012909},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.233443945646286},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1861550211906433},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14519071578979492},{"id":"https://openalex.org/keywords/clamping","display_name":"Clamping","score":0.13721182942390442}],"concepts":[{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.7285057902336121},{"id":"https://openalex.org/C2776161997","wikidata":"https://www.wikidata.org/wiki/Q846600","display_name":"Clamp","level":3,"score":0.6774277687072754},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6504882574081421},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.4726390242576599},{"id":"https://openalex.org/C43521106","wikidata":"https://www.wikidata.org/wiki/Q2165493","display_name":"Pipeline (software)","level":2,"score":0.47222471237182617},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.47013479471206665},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4699925184249878},{"id":"https://openalex.org/C8590192","wikidata":"https://www.wikidata.org/wiki/Q1054694","display_name":"Frequency response","level":2,"score":0.458213746547699},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4442403018474579},{"id":"https://openalex.org/C144171764","wikidata":"https://www.wikidata.org/wiki/Q48103","display_name":"Torque","level":2,"score":0.4235495328903198},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3118872046470642},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3109254539012909},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.233443945646286},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1861550211906433},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14519071578979492},{"id":"https://openalex.org/C84111939","wikidata":"https://www.wikidata.org/wiki/Q5125465","display_name":"Clamping","level":2,"score":0.13721182942390442},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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":2,"locations":[{"id":"doi:10.1109/access.2020.2972396","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2972396","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08986466.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:18413fc69abb48d680fd05308f6e7dfd","is_oa":true,"landing_page_url":"https://doaj.org/article/18413fc69abb48d680fd05308f6e7dfd","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 29370-29384 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.2972396","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2972396","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08986466.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G152118878","display_name":null,"funder_award_id":"11772089","funder_id":"https://openalex.org/F4320329895","funder_display_name":"Liaoning Revitalization Talents Program"},{"id":"https://openalex.org/G1523570051","display_name":null,"funder_award_id":"N180708009","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G1978671582","display_name":null,"funder_award_id":"N170308028","funder_id":"https://openalex.org/F4320329895","funder_display_name":"Liaoning Revitalization Talents Program"},{"id":"https://openalex.org/G3079562060","display_name":null,"funder_award_id":"N170306004","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G3127582755","display_name":null,"funder_award_id":"XLYC1807008","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G3347517121","display_name":null,"funder_award_id":"11772089","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3826690250","display_name":null,"funder_award_id":"N180306005","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G4007003147","display_name":null,"funder_award_id":"XLYC1807008","funder_id":"https://openalex.org/F4320329895","funder_display_name":"Liaoning Revitalization Talents Program"},{"id":"https://openalex.org/G5643557381","display_name":null,"funder_award_id":"11772089","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6045353189","display_name":null,"funder_award_id":"LR2017035","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7590846197","display_name":null,"funder_award_id":"N180708009","funder_id":"https://openalex.org/F4320329895","funder_display_name":"Liaoning Revitalization Talents Program"},{"id":"https://openalex.org/G8744656759","display_name":null,"funder_award_id":"N170308028","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G8951484681","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320329895","display_name":"Liaoning Revitalization Talents Program","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3004859378.pdf","grobid_xml":"https://content.openalex.org/works/W3004859378.grobid-xml"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W1269813660","https://openalex.org/W1898259180","https://openalex.org/W1964102896","https://openalex.org/W1964346069","https://openalex.org/W1965597322","https://openalex.org/W1971114878","https://openalex.org/W1972726738","https://openalex.org/W1978289729","https://openalex.org/W1981117759","https://openalex.org/W1988337370","https://openalex.org/W1988862415","https://openalex.org/W2005684975","https://openalex.org/W2013066763","https://openalex.org/W2031982771","https://openalex.org/W2040385983","https://openalex.org/W2047089040","https://openalex.org/W2050000265","https://openalex.org/W2064360022","https://openalex.org/W2070331105","https://openalex.org/W2071200009","https://openalex.org/W2071705105","https://openalex.org/W2072756995","https://openalex.org/W2094013807","https://openalex.org/W2113517083","https://openalex.org/W2136602340","https://openalex.org/W2139798157","https://openalex.org/W2141115819","https://openalex.org/W2149561515","https://openalex.org/W2152619891","https://openalex.org/W2169598136","https://openalex.org/W2173352165","https://openalex.org/W2183443387","https://openalex.org/W2196214464","https://openalex.org/W2214303545","https://openalex.org/W2515059182","https://openalex.org/W2591225450","https://openalex.org/W2592035311","https://openalex.org/W2593646196","https://openalex.org/W2601113161","https://openalex.org/W2618653015","https://openalex.org/W2741728072","https://openalex.org/W2767659298","https://openalex.org/W2782577721","https://openalex.org/W2790885106","https://openalex.org/W2792166601","https://openalex.org/W2891338205","https://openalex.org/W2896671255","https://openalex.org/W2903822036","https://openalex.org/W2908259373","https://openalex.org/W2947605827","https://openalex.org/W4285719527","https://openalex.org/W6741923351"],"related_works":["https://openalex.org/W2369682515","https://openalex.org/W2130839744","https://openalex.org/W2357436985","https://openalex.org/W2410305382","https://openalex.org/W2049695346","https://openalex.org/W1965620920","https://openalex.org/W2380269594","https://openalex.org/W1969483508","https://openalex.org/W1561827923","https://openalex.org/W2070875508"],"abstract_inverted_index":{"Due":[0],"to":[1,32,79,220],"manufacturing":[2],"errors":[3],"and":[4,96,129,152,165],"material":[5],"deteriorations":[6],"in":[7],"the":[8,13,17,37,43,48,66,72,85,89,97,100,108,112,117,126,130,141,145,149,153,157,170,175,185,192,204,210,213,217,224,227],"metal":[9],"rubber":[10],"of":[11,16,36,42,65,88,99,116,132,174,212,216,226],"clamps,":[12],"clamp":[14,49,90,101,186,205],"stiffness":[15,50,82,91,102,110,179,187,206],"pipeline":[18],"is":[19,69,77,103,135,207],"uncertain.":[20,208],"This":[21],"paper":[22],"presents":[23],"a":[24,61,161],"non-intrusive":[25],"multi-dimensional":[26],"Chebyshev":[27],"polynomial":[28,154],"approximation":[29],"method":[30,167],"(M-CPAM)":[31],"evaluate":[33],"uncertain":[34,86,113,171],"characteristics":[35],"frequency":[38,114,172,197,214],"response":[39,215],"function":[40],"(FRF)":[41],"clamp-pipeline":[44,67],"system":[45,68],"(CPS),":[46],"where":[47],"parameters":[51],"are":[52,92,123],"taken":[53],"as":[54],"unknown":[55],"but":[56],"bounded":[57],"interval":[58,178],"variables.":[59,180],"Firstly,":[60],"finite":[62],"element":[63],"model":[64],"established.":[70],"Secondly,":[71],"variance-based":[73],"global":[74],"sensitivity":[75],"analysis":[76],"implemented":[78],"determine":[80],"significant":[81],"parameters.":[83],"Then,":[84],"intervals":[87],"measured":[93,109],"by":[94,125,137],"experiments":[95],"dispersion":[98,190,211],"described.":[104],"Finally,":[105],"based":[106],"on":[107],"interval,":[111],"responses":[115,173],"CPS":[118,176,218],"under":[119,191],"different":[120],"tightening":[121,194,228],"torques":[122],"analyzed":[124],"proposed":[127,158],"M-CPAM,":[128],"effectiveness":[131],"simulation":[133],"results":[134,142,182],"verified":[136],"experiments.":[138],"Compared":[139],"with":[140,177,223],"obtained":[143],"from":[144],"Monte":[146],"Carlo":[147],"simulation,":[148],"experimental":[150],"measurements,":[151],"chaos":[155],"expansion,":[156],"M-CPAM":[159],"provides":[160],"more":[162],"accurate,":[163],"time-saving":[164],"practical":[166],"for":[168],"solving":[169],"The":[181],"show":[183],"that":[184],"has":[188],"great":[189],"same":[193],"torque.":[195],"A":[196],"shift":[198],"phenomenon":[199],"will":[200],"be":[201,221],"observed":[202],"when":[203],"Moreover,":[209],"tends":[219],"concentrated":[222],"increase":[225],"torques.":[229]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}