{"id":"https://openalex.org/W2530917902","doi":"https://doi.org/10.1017/s0263574715000259","title":"Gr\u00f6bner basis and resultant method for the forward displacement of 3-DoF planar parallel manipulators in seven-dimensional kinematic space","display_name":"Gr\u00f6bner basis and resultant method for the forward displacement of 3-DoF planar parallel manipulators in seven-dimensional kinematic space","publication_year":2015,"publication_date":"2015-04-28","ids":{"openalex":"https://openalex.org/W2530917902","doi":"https://doi.org/10.1017/s0263574715000259","mag":"2530917902"},"language":"en","primary_location":{"id":"doi:10.1017/s0263574715000259","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0263574715000259","pdf_url":null,"source":{"id":"https://openalex.org/S92163612","display_name":"Robotica","issn_l":"0263-5747","issn":["0263-5747","1469-8668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Robotica","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/A5035440009","display_name":"D. Naderi","orcid":"https://orcid.org/0000-0001-6852-2743"},"institutions":[{"id":"https://openalex.org/I167694869","display_name":"Bu-Ali Sina University","ror":"https://ror.org/04ka8rx28","country_code":"IR","type":"education","lineage":["https://openalex.org/I167694869"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Davood Naderi","raw_affiliation_strings":["Department of Mechanical Engineering, Bu-Ali Sina University, Hamedan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Bu-Ali Sina University, Hamedan, Iran","institution_ids":["https://openalex.org/I167694869"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038116932","display_name":"Mehdi Tale Masouleh","orcid":"https://orcid.org/0000-0001-8249-1998"},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mehdi Tale-Masouleh","raw_affiliation_strings":["Human and Robot Interaction Laboratory, Department of Mechatronics, Faculty of New Science and Technology, University of Tehran, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Human and Robot Interaction Laboratory, Department of Mechatronics, Faculty of New Science and Technology, University of Tehran, Tehran, Iran","institution_ids":["https://openalex.org/I23946033"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024961606","display_name":"Payam Varshovi-Jaghargh","orcid":null},"institutions":[{"id":"https://openalex.org/I167694869","display_name":"Bu-Ali Sina University","ror":"https://ror.org/04ka8rx28","country_code":"IR","type":"education","lineage":["https://openalex.org/I167694869"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Payam Varshovi-Jaghargh","raw_affiliation_strings":["Department of Mechanical Engineering, Bu-Ali Sina University, Hamedan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Bu-Ali Sina University, Hamedan, Iran","institution_ids":["https://openalex.org/I167694869"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035440009"],"corresponding_institution_ids":["https://openalex.org/I167694869"],"apc_list":null,"apc_paid":null,"fwci":0.3408,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.70110968,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"34","issue":"11","first_page":"2610","last_page":"2628"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9850999712944031,"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/kinematics","display_name":"Kinematics","score":0.9137320518493652},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.6653092503547668},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5826359987258911},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.555070161819458},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.54066002368927},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.49807167053222656},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38596123456954956},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.35964328050613403},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32073259353637695},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1853853166103363},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17813315987586975},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.10425987839698792}],"concepts":[{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.9137320518493652},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6653092503547668},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5826359987258911},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.555070161819458},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.54066002368927},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.49807167053222656},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38596123456954956},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35964328050613403},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32073259353637695},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1853853166103363},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17813315987586975},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.10425987839698792},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0263574715000259","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0263574715000259","pdf_url":null,"source":{"id":"https://openalex.org/S92163612","display_name":"Robotica","issn_l":"0263-5747","issn":["0263-5747","1469-8668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Robotica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.75}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W40111655","https://openalex.org/W59605967","https://openalex.org/W139131351","https://openalex.org/W148353704","https://openalex.org/W1483218536","https://openalex.org/W1526117436","https://openalex.org/W1540352123","https://openalex.org/W1560270123","https://openalex.org/W1977145560","https://openalex.org/W1991761588","https://openalex.org/W2003360230","https://openalex.org/W2005936052","https://openalex.org/W2008457966","https://openalex.org/W2012615791","https://openalex.org/W2017420452","https://openalex.org/W2017605857","https://openalex.org/W2017849988","https://openalex.org/W2024053191","https://openalex.org/W2026063405","https://openalex.org/W2037400826","https://openalex.org/W2039106280","https://openalex.org/W2044429593","https://openalex.org/W2059788486","https://openalex.org/W2062691475","https://openalex.org/W2077129956","https://openalex.org/W2086765807","https://openalex.org/W2101855097","https://openalex.org/W2107198139","https://openalex.org/W2123218127","https://openalex.org/W2124628463","https://openalex.org/W2143135684","https://openalex.org/W2150300693","https://openalex.org/W2166372836","https://openalex.org/W2167360454","https://openalex.org/W2341668857","https://openalex.org/W4210556961","https://openalex.org/W4292096448","https://openalex.org/W6605987170"],"related_works":["https://openalex.org/W2789522126","https://openalex.org/W2066693961","https://openalex.org/W2368363778","https://openalex.org/W122584421","https://openalex.org/W4244295168","https://openalex.org/W2753351751","https://openalex.org/W3185180338","https://openalex.org/W2889348933","https://openalex.org/W2351643838","https://openalex.org/W2978007058"],"abstract_inverted_index":{"SUMMARY":[0],"In":[1],"this":[2],"paper,":[3],"the":[4,44,59,73,87,92,104,122],"forward":[5,60,74,123],"kinematic":[6,26,49,56,61,75,98,124],"analysis":[7],"of":[8,58,72,108,126],"3-degree-of-freedom":[9],"planar":[10,127],"parallel":[11,128],"robots":[12],"with":[13,91],"identical":[14],"limb":[15],"structures":[16],"is":[17,22,63,77,89],"presented.":[18],"The":[19,51],"proposed":[20],"algorithm":[21],"based":[23],"on":[24],"Study's":[25],"mapping":[27,94],"(E.":[28],"Study,":[29],"\u201cvon":[30],"den":[31],"Bewegungen":[32],"und":[33],"Umlegungen,\u201d":[34],"Math.":[35],"Ann.":[36],"39":[37],",":[38,150],"441\u2013565":[39],"(1891)),":[40],"resultant":[41,80],"method,":[42],"and":[43,86,119,157],"Gr\u00f6bner":[45],"basis":[46],"in":[47,54,82],"seven-dimensional":[48,55,97],"space.":[50,68,99],"obtained":[52,78,93],"solution":[53,71],"space":[57],"problem":[62,76,125],"mapped":[64],"into":[65],"three-dimensional":[66,83],"Euclidean":[67,84],"An":[69],"alternative":[70],"using":[79],"method":[81],"space,":[85],"result":[88,95],"compared":[90],"from":[96],"Both":[100],"approaches":[101],"lead":[102],"to":[103],"same":[105],"maximum":[106],"number":[107],"solutions:":[109],"2,":[110,114,115,116,118],"6,":[111,112,113,117],"2":[120],"for":[121],"robots;":[129],"3-":[130,136,142,151,158],"R":[131,137,140,143,155],"PR,":[132],"3-R":[133,139,145],"P":[134,146,149,152,159],"R,":[135,141,156],"RR,":[138,153],"RP,":[144,160],"P,":[147],"3-RP":[148],"3-P":[154],"respectively.":[161]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}