{"id":"https://openalex.org/W3164119150","doi":"https://doi.org/10.1115/1.4050472","title":"An Energy-Based Framework for Nonlinear Kinetostatic Modeling of Compliant Mechanisms Utilizing Beam Flexures","display_name":"An Energy-Based Framework for Nonlinear Kinetostatic Modeling of Compliant Mechanisms Utilizing Beam Flexures","publication_year":2021,"publication_date":"2021-03-11","ids":{"openalex":"https://openalex.org/W3164119150","doi":"https://doi.org/10.1115/1.4050472","mag":"3164119150"},"language":"en","primary_location":{"id":"doi:10.1115/1.4050472","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4050472","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.13016/m2khpn-yzw7","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066573512","display_name":"Guimin Chen","orcid":"https://orcid.org/0000-0003-0920-3923"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guimin Chen","raw_affiliation_strings":["State Key Laboratory for Manufacturing Systems Engineering, Shaanxi Key Lab of Intelligent Robots, Xi\u2019an Jiaotong University, Xi\u2019an, Shaanxi 710049, China","State Key Laboratory for Manufacturing Systems Engineering, Shaanxi Key Lab of Intelligent Robots, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Shaanxi Key Lab of Intelligent Robots, Xi\u2019an Jiaotong University, Xi\u2019an, Shaanxi 710049, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Shaanxi Key Lab of Intelligent Robots, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101901187","display_name":"Fulei Ma","orcid":"https://orcid.org/0000-0002-6518-5814"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fulei Ma","raw_affiliation_strings":["School of Electro-Mechanical Engineering, Xidian University, Xi\u2019an, Shaanxi 710071, China","School of Electro-Mechanical Engineering, Xidian University, Xi'an, Shaanxi 710071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electro-Mechanical Engineering, Xidian University, Xi\u2019an, Shaanxi 710071, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"School of Electro-Mechanical Engineering, Xidian University, Xi'an, Shaanxi 710071, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034001366","display_name":"Ruiyu Bai","orcid":"https://orcid.org/0000-0003-4042-3174"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruiyu Bai","raw_affiliation_strings":["School of Electro-Mechanical Engineering, Xidian University, Xi\u2019an, Shaanxi 710071, China","P. O. Box 181, Xidian University No.2, South Taibai Road Xi'an 710071, Shaanxi, Shaanxi 710071 China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electro-Mechanical Engineering, Xidian University, Xi\u2019an, Shaanxi 710071, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"P. O. Box 181, Xidian University No.2, South Taibai Road Xi'an 710071, Shaanxi, Shaanxi 710071 China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091517078","display_name":"Weidong Zhu","orcid":"https://orcid.org/0000-0003-2707-2533"},"institutions":[{"id":"https://openalex.org/I79272384","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78","country_code":"US","type":"education","lineage":["https://openalex.org/I79272384"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Weidong Zhu","raw_affiliation_strings":["Department of Mechanical Engineering, University of MarylandBaltimore County, Baltimore, MD 21250"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of MarylandBaltimore County, Baltimore, MD 21250","institution_ids":["https://openalex.org/I79272384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057932828","display_name":"Spencer P. Magleby","orcid":"https://orcid.org/0000-0001-5506-5854"},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Spencer P. Magleby","raw_affiliation_strings":["Department of Mechanical Engineering, Brigham Young University, Provo, UT 84602"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Brigham Young University, Provo, UT 84602","institution_ids":["https://openalex.org/I100005738"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091376006","display_name":"Larry L. Howell","orcid":"https://orcid.org/0000-0001-8132-8822"},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Larry L. Howell","raw_affiliation_strings":["Department of Mechanical Engineering, Brigham Young University, Provo, UT 84602"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Brigham Young University, Provo, UT 84602","institution_ids":["https://openalex.org/I100005738"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0287,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.9134187,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"21","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11525","display_name":"Piezoelectric Actuators and Control","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11525","display_name":"Piezoelectric Actuators and Control","score":0.9998999834060669,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9957000017166138,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.9905999898910522,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/compliant-mechanism","display_name":"Compliant mechanism","score":0.8402647376060486},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5873621702194214},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5453448295593262},{"id":"https://openalex.org/keywords/strain-energy","display_name":"Strain energy","score":0.5279896259307861},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.513617217540741},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.42457205057144165},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.39311811327934265},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3778807520866394},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.36889225244522095},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.33977288007736206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3333779573440552},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3296896815299988},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3264312148094177},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.32050201296806335},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14204955101013184},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11728161573410034}],"concepts":[{"id":"https://openalex.org/C79772673","wikidata":"https://www.wikidata.org/wiki/Q5156643","display_name":"Compliant mechanism","level":3,"score":0.8402647376060486},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5873621702194214},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5453448295593262},{"id":"https://openalex.org/C199201527","wikidata":"https://www.wikidata.org/wiki/Q496309","display_name":"Strain energy","level":3,"score":0.5279896259307861},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.513617217540741},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.42457205057144165},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.39311811327934265},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3778807520866394},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.36889225244522095},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.33977288007736206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3333779573440552},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3296896815299988},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3264312148094177},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.32050201296806335},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14204955101013184},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11728161573410034},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1115/1.4050472","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4050472","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","raw_type":"journal-article"},{"id":"doi:10.13016/m2khpn-yzw7","is_oa":true,"landing_page_url":"https://doi.org/10.13016/m2khpn-yzw7","pdf_url":null,"source":{"id":"https://openalex.org/S4306402644","display_name":"Digital Repository at the University of Maryland (University of Maryland College Park)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66946132","host_organization_name":"University of Maryland, College Park","host_organization_lineage":["https://openalex.org/I66946132"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.13016/m2khpn-yzw7","is_oa":true,"landing_page_url":"https://doi.org/10.13016/m2khpn-yzw7","pdf_url":null,"source":{"id":"https://openalex.org/S4306402644","display_name":"Digital Repository at the University of Maryland (University of Maryland College Park)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66946132","host_organization_name":"University of Maryland, College Park","host_organization_lineage":["https://openalex.org/I66946132"],"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":null},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8899999856948853}],"awards":[{"id":"https://openalex.org/G1897906327","display_name":null,"funder_award_id":"51675396","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3398600712","display_name":null,"funder_award_id":"52075411","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6092790217","display_name":null,"funder_award_id":"2019YFB1311600","funder_id":"https://openalex.org/F4320336026","funder_display_name":"National Key Research and Development Program of China Stem Cell and Translational Research"},{"id":"https://openalex.org/G7113089761","display_name":null,"funder_award_id":"U1913213","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320309204","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336026","display_name":"National Key Research and Development Program of China Stem Cell and Translational Research","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1530713432","https://openalex.org/W1973749752","https://openalex.org/W1982772596","https://openalex.org/W1987452785","https://openalex.org/W1989891345","https://openalex.org/W2010240894","https://openalex.org/W2011791671","https://openalex.org/W2049237192","https://openalex.org/W2057789669","https://openalex.org/W2073956832","https://openalex.org/W2082503281","https://openalex.org/W2095919954","https://openalex.org/W2115603551","https://openalex.org/W2133374645","https://openalex.org/W2148463789","https://openalex.org/W2149034424","https://openalex.org/W2234898759","https://openalex.org/W2285274095","https://openalex.org/W2466967204","https://openalex.org/W2588549770","https://openalex.org/W2765518598","https://openalex.org/W2892517608","https://openalex.org/W2893934042","https://openalex.org/W2919488478","https://openalex.org/W2950437610","https://openalex.org/W2954446724","https://openalex.org/W2961587049","https://openalex.org/W2996546838","https://openalex.org/W3071849765","https://openalex.org/W3139923450","https://openalex.org/W4242949007","https://openalex.org/W4246037076","https://openalex.org/W4247367098","https://openalex.org/W4255842563","https://openalex.org/W6646116252","https://openalex.org/W6682249445"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2115030441","https://openalex.org/W2147578878","https://openalex.org/W2381670429","https://openalex.org/W2362478917","https://openalex.org/W2350032752","https://openalex.org/W2366363060","https://openalex.org/W2385419644","https://openalex.org/W3135634402","https://openalex.org/W1978554784"],"abstract_inverted_index":{"Abstract":[0],"Although":[1],"energy-based":[2,26,51],"methods":[3,9],"have":[4],"advantages":[5],"over":[6],"the":[7,13,25,32,39,50,69,77,90,105,108,120],"Newtonian":[8],"for":[10,55],"kinetostatic":[11,52,95],"modeling,":[12],"geometric":[14],"nonlinearities":[15],"inherent":[16],"in":[17,58,72,81,111],"deflections":[18,75],"of":[19,24,62,74,83,97,107],"compliant":[20,56,99],"mechanisms":[21,57,100],"preclude":[22],"most":[23],"theorems.":[27],"Castigliano\u2019s":[28,116],"first":[29,117],"theorem":[30,118],"and":[31,76,119],"Crotti\u2013Engesser":[33,121],"theorem,":[34],"which":[35,85],"do":[36],"not":[37],"require":[38],"problem":[40],"being":[41],"solved":[42],"to":[43,48,103],"be":[44],"linear,":[45],"are":[46,86,101],"selected":[47],"construct":[49],"modeling":[53,96],"framework":[54,113],"this":[59,112],"work.":[60],"Utilization":[61],"these":[63],"two":[64,98],"theorems":[65],"requires":[66],"explicitly":[67],"formulating":[68],"strain":[70,79],"energy":[71,80],"terms":[73,82],"complementary":[78],"loads,":[84],"derived":[87,114],"based":[88],"on":[89],"beam":[91],"constraint":[92],"model.":[93],"The":[94],"provided":[102],"demonstrate":[104],"effectiveness":[106],"explicit":[109],"formulations":[110],"from":[115],"theorem.":[122]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-01T08:55:40.977307","created_date":"2025-10-10T00:00:00"}