{"id":"https://openalex.org/W4402812996","doi":"https://doi.org/10.1115/1.4066661","title":"A Matrix-Based Approach to Unified Synthesis of Planar Four-Bar Mechanisms for Motion Generation With Position, Velocity, and Acceleration Constraints","display_name":"A Matrix-Based Approach to Unified Synthesis of Planar Four-Bar Mechanisms for Motion Generation With Position, Velocity, and Acceleration Constraints","publication_year":2024,"publication_date":"2024-09-24","ids":{"openalex":"https://openalex.org/W4402812996","doi":"https://doi.org/10.1115/1.4066661"},"language":"en","primary_location":{"id":"doi:10.1115/1.4066661","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4066661","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"],"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/A5079058791","display_name":"Xueting Deng","orcid":"https://orcid.org/0000-0003-2251-9439"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xueting Deng","raw_affiliation_strings":["Stony Brook University Computer-Aided Design and Innovation Lab, Department of Mechanical Engineering, , Stony Brook, NY 11794-2300","Stony Brook University Stony Brook, NY 11790"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stony Brook University Computer-Aided Design and Innovation Lab, Department of Mechanical Engineering, , Stony Brook, NY 11794-2300","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Stony Brook University Stony Brook, NY 11790","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065218703","display_name":"Anurag Purwar","orcid":"https://orcid.org/0000-0002-1755-470X"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anurag Purwar","raw_affiliation_strings":["Stony Brook University Computer-Aided Design and Innovation Lab, Department of Mechanical Engineering, , Stony Brook, NY 11794-2300","Mechanical Engineering 169 Light Eng Stony Brook, NY 11794-2300"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stony Brook University Computer-Aided Design and Innovation Lab, Department of Mechanical Engineering, , Stony Brook, NY 11794-2300","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Mechanical Engineering 169 Light Eng Stony Brook, NY 11794-2300","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079058791"],"corresponding_institution_ids":["https://openalex.org/I59553526"],"apc_list":null,"apc_paid":null,"fwci":0.6001,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6849152,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"24","issue":"12","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":1.0,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":1.0,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T12907","display_name":"Mechanical Engineering and Vibrations Research","score":0.9968000054359436,"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/four-bar-linkage","display_name":"Four-bar linkage","score":0.5900822877883911},{"id":"https://openalex.org/keywords/kinematics","display_name":"Kinematics","score":0.5408639311790466},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48654118180274963},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.4854717552661896},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4730479121208191},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.46107175946235657},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.45315811038017273},{"id":"https://openalex.org/keywords/linkage","display_name":"Linkage (software)","score":0.4456273317337036},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.43212494254112244},{"id":"https://openalex.org/keywords/transformation-matrix","display_name":"Transformation matrix","score":0.4189845323562622},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37447211146354675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2682429850101471},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.2103232443332672},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1528647243976593},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13341650366783142}],"concepts":[{"id":"https://openalex.org/C122920182","wikidata":"https://www.wikidata.org/wiki/Q2102938","display_name":"Four-bar linkage","level":3,"score":0.5900822877883911},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.5408639311790466},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48654118180274963},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.4854717552661896},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4730479121208191},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.46107175946235657},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.45315811038017273},{"id":"https://openalex.org/C31266012","wikidata":"https://www.wikidata.org/wiki/Q6554340","display_name":"Linkage (software)","level":3,"score":0.4456273317337036},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.43212494254112244},{"id":"https://openalex.org/C165443888","wikidata":"https://www.wikidata.org/wiki/Q1482183","display_name":"Transformation matrix","level":3,"score":0.4189845323562622},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37447211146354675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2682429850101471},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.2103232443332672},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1528647243976593},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13341650366783142},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1115/1.4066661","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4066661","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W45928384","https://openalex.org/W76246499","https://openalex.org/W1478035173","https://openalex.org/W1490678064","https://openalex.org/W1971413737","https://openalex.org/W1974206111","https://openalex.org/W1991486201","https://openalex.org/W1992319999","https://openalex.org/W2005173890","https://openalex.org/W2007236503","https://openalex.org/W2033609949","https://openalex.org/W2037610551","https://openalex.org/W2039050554","https://openalex.org/W2045352907","https://openalex.org/W2056982316","https://openalex.org/W2062355967","https://openalex.org/W2087825701","https://openalex.org/W2108268397","https://openalex.org/W2161190356","https://openalex.org/W2211080133","https://openalex.org/W2344013486","https://openalex.org/W2388381897","https://openalex.org/W2565120523","https://openalex.org/W2585475677","https://openalex.org/W2765508278","https://openalex.org/W3096389643","https://openalex.org/W3135859832","https://openalex.org/W4213187341","https://openalex.org/W4241187624","https://openalex.org/W4243235810","https://openalex.org/W4388932239","https://openalex.org/W4390695536","https://openalex.org/W6672814857"],"related_works":["https://openalex.org/W2118485229","https://openalex.org/W2389535891","https://openalex.org/W2364268392","https://openalex.org/W2382663788","https://openalex.org/W2385205802","https://openalex.org/W2368594856","https://openalex.org/W2378646426","https://openalex.org/W2382050265","https://openalex.org/W2388799704","https://openalex.org/W2063695242"],"abstract_inverted_index":{"Abstract":[0],"This":[1,55,118,141,231],"paper":[2,73,184],"introduces":[3],"a":[4,89,101,106,122,192,199,245],"novel":[5,68],"matrix-based":[6],"approach":[7,80,143,232],"for":[8,168],"the":[9,37,63,76,96,111,115,128,147,156,166,174,183,189,205,210,236],"simultaneous":[10],"type":[11,35,84,161],"and":[12,28,41,52,85,137,162,178,209,238,248],"dimensional":[13,45,86],"synthesis":[14,148,207],"of":[15,39,95,114,125,130,176,191,197,202,212,240],"planar":[16,220],"four-bar":[17,221],"linkage":[18,222],"mechanisms,":[19],"accommodating":[20],"various":[21],"practical":[22],"constraints,":[23,126],"including":[24],"position,":[25],"velocity,":[26],"acceleration,":[27],"joint":[29,40],"placements.":[30],"Traditional":[31],"design":[32,65,79,103,194,237],"processes":[33],"segregate":[34],"synthesis,":[36,46],"determination":[38],"link":[42,50],"configurations,":[43],"from":[44,75],"which":[47],"involves":[48,99],"specifying":[49],"sizes":[51],"pivot":[53],"locations.":[54],"segregation":[56],"often":[57],"leads":[58],"to":[59,173,228,234,251],"complexities":[60],"in":[61,71],"addressing":[62],"complete":[64],"challenge.":[66],"The":[67,93],"methodology":[69,98],"proposed":[70],"this":[72],"departs":[74],"conventional":[77],"sequential":[78],"by":[81,110,224,243],"concurrently":[82],"evaluating":[83],"parameters":[87,113],"using":[88],"data-driven":[90],"matrix":[91],"formulation.":[92],"crux":[94],"paper\u2019s":[97],"formulating":[100],"singular":[102,134],"equation":[104,195],"through":[105,133],"transformation":[107],"matrix,":[108],"parameterized":[109],"Cartesian":[112],"mechanism\u2019s":[116,157],"dyads.":[117],"formulation":[119],"linearly":[120],"expresses":[121],"broad":[123],"range":[124],"facilitating":[127],"identification":[129],"viable":[131],"solutions":[132],"value":[135],"decomposition":[136],"null":[138],"space":[139],"analysis.":[140],"integrated":[142],"not":[144],"only":[145],"simplifies":[146],"process":[149],"but":[150],"also":[151],"provides":[152],"direct":[153],"insights":[154],"into":[155],"parameters,":[158],"encompassing":[159,198],"both":[160],"dimensions,":[163],"thereby":[164],"obviating":[165],"need":[167],"further":[169],"interpretative":[170],"steps":[171],"common":[172],"use":[175],"quaternions":[177],"kinematic":[179],"mapping.":[180],"In":[181],"essence,":[182],"presents":[185],"two":[186],"main":[187],"contributions:":[188],"development":[190],"unified":[193],"capable":[196],"wide":[200],"array":[201],"constraints":[203],"within":[204],"mechanism":[206,252],"process,":[208],"introduction":[211],"an":[213],"algorithm":[214],"that":[215],"effectively":[216],"identifies":[217],"all":[218],"potential":[219],"mechanisms":[223],"accurately":[225],"satisfying":[226],"up":[227],"five":[229],"constraints.":[230],"promises":[233],"enhance":[235],"optimization":[239],"mechanical":[241],"systems":[242],"offering":[244],"more":[246],"holistic":[247],"efficient":[249],"pathway":[250],"synthesis.":[253]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
