{"id":"https://openalex.org/W2035396103","doi":"https://doi.org/10.1155/2011/393072","title":"A Statistical Approach to the Forward Kinematics Nonlinearity Analysis of Gough\u2010Stewart Mechanism","display_name":"A Statistical Approach to the Forward Kinematics Nonlinearity Analysis of Gough\u2010Stewart Mechanism","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2035396103","doi":"https://doi.org/10.1155/2011/393072","mag":"2035396103"},"language":"en","primary_location":{"id":"doi:10.1155/2011/393072","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/393072","pdf_url":"https://downloads.hindawi.com/journals/jam/2011/393072.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2011/393072.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110631946","display_name":"Davoud Karimi","orcid":null},"institutions":[{"id":"https://openalex.org/I1516879","display_name":"Tarbiat Modares University","ror":"https://ror.org/03mwgfy56","country_code":"IR","type":"education","lineage":["https://openalex.org/I1516879"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Davoud Karimi","raw_affiliation_strings":["Tarbiat Modares University, Mechanical Engineering Department, Tehran 14115-143, Iran","Tarbiat Modares University, Mechanical Engineering Department, Tehran 14115-143"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tarbiat Modares University, Mechanical Engineering Department, Tehran 14115-143, Iran","institution_ids":["https://openalex.org/I1516879"]},{"raw_affiliation_string":"Tarbiat Modares University, Mechanical Engineering Department, Tehran 14115-143","institution_ids":["https://openalex.org/I1516879"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058909455","display_name":"Mohammad Javad Nategh","orcid":"https://orcid.org/0000-0002-2319-0172"},"institutions":[{"id":"https://openalex.org/I1516879","display_name":"Tarbiat Modares University","ror":"https://ror.org/03mwgfy56","country_code":"IR","type":"education","lineage":["https://openalex.org/I1516879"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mohammad Javad Nategh","raw_affiliation_strings":["Tarbiat Modares University, Mechanical Engineering Department, Tehran 14115-143, Iran","Tarbiat Modares University, Mechanical Engineering Department, Tehran 14115-143"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tarbiat Modares University, Mechanical Engineering Department, Tehran 14115-143, Iran","institution_ids":["https://openalex.org/I1516879"]},{"raw_affiliation_string":"Tarbiat Modares University, Mechanical Engineering Department, Tehran 14115-143","institution_ids":["https://openalex.org/I1516879"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058909455"],"corresponding_institution_ids":["https://openalex.org/I1516879"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":3.9414,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.93477259,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2011","issue":"1","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":0.9991999864578247,"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":0.9991999864578247,"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/T13752","display_name":"Mechanics and Biomechanics Studies","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.994700014591217,"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":0.6543047428131104},{"id":"https://openalex.org/keywords/stewart-platform","display_name":"Stewart platform","score":0.6226325631141663},{"id":"https://openalex.org/keywords/mechanism","display_name":"Mechanism (biology)","score":0.5508010983467102},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4861268997192383},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4120649993419647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4069075584411621},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1532568633556366},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.11523443460464478}],"concepts":[{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.6543047428131104},{"id":"https://openalex.org/C69769044","wikidata":"https://www.wikidata.org/wiki/Q2041113","display_name":"Stewart platform","level":3,"score":0.6226325631141663},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.5508010983467102},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4861268997192383},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4120649993419647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4069075584411621},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1532568633556366},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.11523443460464478},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2011/393072","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/393072","pdf_url":"https://downloads.hindawi.com/journals/jam/2011/393072.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1331818618","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1331818618","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:393072","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2011/393072.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:69bf4c13fc364686a6be5aa1cf1d4c3c","is_oa":true,"landing_page_url":"https://doaj.org/article/69bf4c13fc364686a6be5aa1cf1d4c3c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2011 (2011)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2011/393072","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/393072","pdf_url":"https://downloads.hindawi.com/journals/jam/2011/393072.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2035396103.pdf","grobid_xml":"https://content.openalex.org/works/W2035396103.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W155102939","https://openalex.org/W199310666","https://openalex.org/W1974730120","https://openalex.org/W1977145560","https://openalex.org/W1985525293","https://openalex.org/W2013462535","https://openalex.org/W2017605857","https://openalex.org/W2059686121","https://openalex.org/W2070779353","https://openalex.org/W2077129956","https://openalex.org/W2077588736","https://openalex.org/W2081631223","https://openalex.org/W2090563303","https://openalex.org/W2094714767","https://openalex.org/W2096588392","https://openalex.org/W2101052787","https://openalex.org/W2101855097","https://openalex.org/W2112088339","https://openalex.org/W2141049403","https://openalex.org/W2143135684","https://openalex.org/W2143669496","https://openalex.org/W2162786073","https://openalex.org/W2170018377","https://openalex.org/W2334190939","https://openalex.org/W2488758846","https://openalex.org/W2903571355","https://openalex.org/W3170994865","https://openalex.org/W4248921483"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2886904874","https://openalex.org/W1979597421","https://openalex.org/W2100428050","https://openalex.org/W2007980826","https://openalex.org/W2354642913","https://openalex.org/W2043642088","https://openalex.org/W2755611951","https://openalex.org/W2384143566","https://openalex.org/W4243763747"],"abstract_inverted_index":{"Both":[0],"the":[1,7,51,69,74,80,92,95,108,111,114,120,123,127,131,139,142],"forward":[2,54,70,96],"and":[3,42,82],"backward":[4],"kinematics":[5,32,39,55],"of":[6,20,37,53,73,85,94,100,110,113,122,130,141],"Gough\u2010Stewart":[8],"mechanism":[9],"exhibit":[10],"nonlinear":[11],"behavior.":[12],"It":[13,116],"is":[14,40,56,64,117],"critically":[15],"important":[16],"to":[17,59,68,90,106],"take":[18],"account":[19],"this":[21,48],"nonlinearity":[22,36,52,86,93,112,140],"in":[23,30,47],"some":[24],"applications":[25],"such":[26],"as":[27,62,126],"path":[28],"control":[29],"parallel":[31],"machine":[33],"tools.":[34],"The":[35,98],"inverse":[38],"straightforward":[41],"has":[43,87,103,134],"been":[44,88,104],"first":[45],"studied":[46],"paper.":[49],"However":[50],"more":[57],"challenging":[58],"be":[60],"considered":[61],"there":[63],"no":[65],"analytic":[66],"solution":[67,72],"kinematic":[71],"mechanism.":[75,115,143],"A":[76],"statistical":[77],"approach":[78],"including":[79],"Bates":[81],"Watts":[83],"measures":[84],"employed":[89],"investigate":[91],"kinematics.":[97],"concept":[99],"standard":[101],"sphere":[102],"used":[105],"check":[107],"significance":[109],"demonstrated":[118],"that":[119],"length":[121],"region,":[124],"defined":[125],"linear":[128],"approximation":[129],"lifted":[132],"line,":[133],"a":[135],"significant":[136],"impact":[137],"on":[138]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
