{"id":"https://openalex.org/W2060867601","doi":"https://doi.org/10.1163/156855302760121927","title":"Kinematic analysis of a translational 3-d.o.f. micro-parallel mechanism using the matrix method","display_name":"Kinematic analysis of a translational 3-d.o.f. micro-parallel mechanism using the matrix method","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2060867601","doi":"https://doi.org/10.1163/156855302760121927","mag":"2060867601"},"language":"en","primary_location":{"id":"doi:10.1163/156855302760121927","is_oa":false,"landing_page_url":"https://doi.org/10.1163/156855302760121927","pdf_url":null,"source":{"id":"https://openalex.org/S192584203","display_name":"Advanced Robotics","issn_l":"0169-1864","issn":["0169-1864","1568-5535"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Robotics","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/A5072929150","display_name":"Yoshihiko Koseki","orcid":"https://orcid.org/0000-0003-0087-777X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yoshihiko Koseki","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018868216","display_name":"Tamio Tanikawa","orcid":"https://orcid.org/0000-0003-3479-4585"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tamio Tanikawa","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012381352","display_name":"Noriho Koyachi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Noriho Koyachi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5017331725","display_name":"Tatsuo Arai","orcid":"https://orcid.org/0000-0001-7863-5696"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tatsuo Arai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":151,"citation_normalized_percentile":{"value":0.12108973,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"16","issue":"3","first_page":"251","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11525","display_name":"Piezoelectric Actuators and Control","score":0.9994999766349792,"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":0.9994999766349792,"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/T10369","display_name":"Advanced MEMS and NEMS Technologies","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10923","display_name":"Force Microscopy Techniques and Applications","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kinematics","display_name":"Kinematics","score":0.7702091932296753},{"id":"https://openalex.org/keywords/hinge","display_name":"Hinge","score":0.7344964742660522},{"id":"https://openalex.org/keywords/mechanism","display_name":"Mechanism (biology)","score":0.6853878498077393},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6620174050331116},{"id":"https://openalex.org/keywords/compliant-mechanism","display_name":"Compliant mechanism","score":0.5414417386054993},{"id":"https://openalex.org/keywords/matrix-method","display_name":"Matrix method","score":0.49383243918418884},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.47855478525161743},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.47594451904296875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4270583391189575},{"id":"https://openalex.org/keywords/mass-matrix","display_name":"Mass matrix","score":0.4189662039279938},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.4086422324180603},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3757264018058777},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34188544750213623},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3235163688659668},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2227281928062439},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1993098258972168},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.17029836773872375},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.15902063250541687},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0985848605632782},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.09608420729637146}],"concepts":[{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.7702091932296753},{"id":"https://openalex.org/C44000306","wikidata":"https://www.wikidata.org/wiki/Q244330","display_name":"Hinge","level":2,"score":0.7344964742660522},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.6853878498077393},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6620174050331116},{"id":"https://openalex.org/C79772673","wikidata":"https://www.wikidata.org/wiki/Q5156643","display_name":"Compliant mechanism","level":3,"score":0.5414417386054993},{"id":"https://openalex.org/C86761442","wikidata":"https://www.wikidata.org/wiki/Q6787879","display_name":"Matrix method","level":2,"score":0.49383243918418884},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.47855478525161743},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.47594451904296875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4270583391189575},{"id":"https://openalex.org/C135585149","wikidata":"https://www.wikidata.org/wiki/Q339704","display_name":"Mass matrix","level":3,"score":0.4189662039279938},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.4086422324180603},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3757264018058777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34188544750213623},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3235163688659668},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2227281928062439},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1993098258972168},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.17029836773872375},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.15902063250541687},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0985848605632782},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.09608420729637146},{"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/C185544564","wikidata":"https://www.wikidata.org/wiki/Q81197","display_name":"Nuclear physics","level":1,"score":0.0},{"id":"https://openalex.org/C186453547","wikidata":"https://www.wikidata.org/wiki/Q2126","display_name":"Neutrino","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1163/156855302760121927","is_oa":false,"landing_page_url":"https://doi.org/10.1163/156855302760121927","pdf_url":null,"source":{"id":"https://openalex.org/S192584203","display_name":"Advanced Robotics","issn_l":"0169-1864","issn":["0169-1864","1568-5535"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Robotics","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":7,"referenced_works":["https://openalex.org/W1496832906","https://openalex.org/W1844474251","https://openalex.org/W1980902839","https://openalex.org/W2027532870","https://openalex.org/W2037993086","https://openalex.org/W2102170685","https://openalex.org/W2320529407"],"related_works":["https://openalex.org/W2516338312","https://openalex.org/W2115210045","https://openalex.org/W2280508612","https://openalex.org/W2361083162","https://openalex.org/W2385646701","https://openalex.org/W3173774353","https://openalex.org/W1997950007","https://openalex.org/W1513877130","https://openalex.org/W2098099733","https://openalex.org/W2060867601"],"abstract_inverted_index":{"In":[0],"this":[1,40],"paper,":[2],"we":[3],"applied":[4],"the":[5,80,86,101,105],"matrix":[6,25,68,74,77,107],"method":[7,26,41,69],"to":[8,33,45,63],"kinematic":[9],"analysis":[10,112],"of":[11,20,89,104,113],"our":[12,55,114],"translational":[13],"3-d.o.f.":[14],"micro-parallel":[15,56,115],"mechanism":[16,49,57,116],"for":[17],"an":[18,111],"instance":[19],"general":[21],"flexure":[22,48],"mechanisms.":[23],"The":[24],"has":[27],"been":[28],"well":[29,43],"developed":[30],"in":[31],"architecture":[32],"analyze":[34],"frame":[35],"structures.":[36],"We":[37],"found":[38],"that":[39],"is":[42,117],"suited":[44],"such":[46],"a":[47,64,72,90],"with":[50,75],"circular":[51,91],"notched":[52,92],"hinges":[53],"as":[54],"because":[58],"it":[59],"can":[60,70],"be":[61],"approximated":[62],"Rahmen":[65],"structure.":[66],"Our":[67],"calculate":[71],"compliance":[73,87,106],"less":[76],"nodes":[78],"than":[79],"conventional":[81],"finite":[82],"element":[83],"method.":[84],"First,":[85],"matrices":[88],"hinge":[93],"and":[94,100],"some":[95],"other":[96],"beams":[97],"are":[98,108],"defined,":[99],"coordinate":[102],"transformations":[103],"introduced.":[109],"Secondly,":[110],"demonstrated.":[118]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":7}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}