{"id":"https://openalex.org/W2755293882","doi":"https://doi.org/10.1080/0951192x.2017.1379098","title":"An analytical approach for positioning error and mode shape analysis of n \u2013 legged parallel manipulator","display_name":"An analytical approach for positioning error and mode shape analysis of n \u2013 legged parallel manipulator","publication_year":2017,"publication_date":"2017-09-18","ids":{"openalex":"https://openalex.org/W2755293882","doi":"https://doi.org/10.1080/0951192x.2017.1379098","mag":"2755293882"},"language":"en","primary_location":{"id":"doi:10.1080/0951192x.2017.1379098","is_oa":false,"landing_page_url":"https://doi.org/10.1080/0951192x.2017.1379098","pdf_url":null,"source":{"id":"https://openalex.org/S57062392","display_name":"International Journal of Computer Integrated Manufacturing","issn_l":"0951-192X","issn":["0951-192X","1362-3052"],"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":"International Journal of Computer Integrated Manufacturing","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/A5101567603","display_name":"Muhammad Sohail","orcid":"https://orcid.org/0000-0002-6902-9384"},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Sohail","raw_affiliation_strings":["Department of Mechanical Engineering, CEME, National University of Sciences and Technology (NUST), Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, CEME, National University of Sciences and Technology (NUST), Islamabad, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082277105","display_name":"Sajid Ullah Butt","orcid":"https://orcid.org/0000-0002-6052-5576"},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Sajid Ullah Butt","raw_affiliation_strings":["Department of Mechanical Engineering, CEME, National University of Sciences and Technology (NUST), Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, CEME, National University of Sciences and Technology (NUST), Islamabad, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110583893","display_name":"Aamer Ahmed Baqai","orcid":null},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Aamer Ahmed Baqai","raw_affiliation_strings":["Department of Mechanical Engineering, CEME, National University of Sciences and Technology (NUST), Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, CEME, National University of Sciences and Technology (NUST), Islamabad, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101567603"],"corresponding_institution_ids":["https://openalex.org/I929597975"],"apc_list":null,"apc_paid":null,"fwci":0.2012,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.52592043,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"31","issue":"8","first_page":"677","last_page":"691"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","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/T10571","display_name":"Robotic Mechanisms and Dynamics","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/T11301","display_name":"Advanced Surface Polishing Techniques","score":0.9957000017166138,"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":0.9951000213623047,"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/parallel-manipulator","display_name":"Parallel manipulator","score":0.7700202465057373},{"id":"https://openalex.org/keywords/machining","display_name":"Machining","score":0.6232895255088806},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5712612271308899},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5556966066360474},{"id":"https://openalex.org/keywords/manipulator","display_name":"Manipulator (device)","score":0.5337643623352051},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5114213824272156},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.46898940205574036},{"id":"https://openalex.org/keywords/machine-tool","display_name":"Machine tool","score":0.4233679175376892},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.39991578459739685},{"id":"https://openalex.org/keywords/simulation","display_name":"Simulation","score":0.33518508076667786},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3319036364555359},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.25822609663009644},{"id":"https://openalex.org/keywords/robot","display_name":"Robot","score":0.21800726652145386},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16372781991958618},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.15715694427490234}],"concepts":[{"id":"https://openalex.org/C138094506","wikidata":"https://www.wikidata.org/wiki/Q12065277","display_name":"Parallel manipulator","level":3,"score":0.7700202465057373},{"id":"https://openalex.org/C523214423","wikidata":"https://www.wikidata.org/wiki/Q192047","display_name":"Machining","level":2,"score":0.6232895255088806},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5712612271308899},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5556966066360474},{"id":"https://openalex.org/C2781347998","wikidata":"https://www.wikidata.org/wiki/Q1587588","display_name":"Manipulator (device)","level":3,"score":0.5337643623352051},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5114213824272156},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.46898940205574036},{"id":"https://openalex.org/C5941749","wikidata":"https://www.wikidata.org/wiki/Q19768","display_name":"Machine tool","level":2,"score":0.4233679175376892},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.39991578459739685},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.33518508076667786},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3319036364555359},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.25822609663009644},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.21800726652145386},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16372781991958618},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.15715694427490234},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/0951192x.2017.1379098","is_oa":false,"landing_page_url":"https://doi.org/10.1080/0951192x.2017.1379098","pdf_url":null,"source":{"id":"https://openalex.org/S57062392","display_name":"International Journal of Computer Integrated Manufacturing","issn_l":"0951-192X","issn":["0951-192X","1362-3052"],"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":"International Journal of Computer Integrated Manufacturing","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":34,"referenced_works":["https://openalex.org/W10476398","https://openalex.org/W25751156","https://openalex.org/W1508524922","https://openalex.org/W1659760696","https://openalex.org/W1866533726","https://openalex.org/W1967979430","https://openalex.org/W1973923532","https://openalex.org/W1975038875","https://openalex.org/W1983825209","https://openalex.org/W2009401724","https://openalex.org/W2017497506","https://openalex.org/W2041956152","https://openalex.org/W2053411443","https://openalex.org/W2055571167","https://openalex.org/W2062614911","https://openalex.org/W2064071544","https://openalex.org/W2076211474","https://openalex.org/W2077129956","https://openalex.org/W2084973179","https://openalex.org/W2117531282","https://openalex.org/W2130245110","https://openalex.org/W2142964092","https://openalex.org/W2143169357","https://openalex.org/W2145187998","https://openalex.org/W2167357810","https://openalex.org/W2169423219","https://openalex.org/W2605033522","https://openalex.org/W3117225898","https://openalex.org/W3170994865","https://openalex.org/W3207843357","https://openalex.org/W4255378390","https://openalex.org/W4285719527","https://openalex.org/W4315567101","https://openalex.org/W4386774713"],"related_works":["https://openalex.org/W2353665242","https://openalex.org/W2989708805","https://openalex.org/W2393977490","https://openalex.org/W2038930466","https://openalex.org/W1997122515","https://openalex.org/W2291962036","https://openalex.org/W2647614668","https://openalex.org/W2366856298","https://openalex.org/W2166323405","https://openalex.org/W2376007266"],"abstract_inverted_index":{"Precise":[0],"part":[1,64],"positioning":[2,14,30,50,73,88,141],"on":[3],"a":[4,8,122],"parallel":[5,34,54],"manipulator":[6,35,55,93],"is":[7,61],"challenging":[9],"task":[10],"for":[11,94,134,139],"industries":[12],"where":[13],"errors":[15,31,51,74],"can":[16,130],"restrict":[17],"achieving":[18],"the":[19,23,27,29,33,43,53,66,72,76,82,87,99,108,126,144],"required":[20],"quality":[21],"of":[22,32,52,65,75,90,98,107,136,143],"part.":[24],"However,":[25],"in":[26],"literature,":[28],"are":[36,112],"not":[37],"explored":[38],"extensively.":[39],"In":[40],"this":[41],"paper,":[42],"main":[44],"focus":[45],"was":[46],"to":[47,70],"find":[48],"out":[49],"caused":[56],"while":[57],"machining.":[58],"Lagrange":[59],"formulation":[60],"used":[62,133],"as":[63],"proposed":[67,83],"analytical":[68],"model":[69],"calculate":[71],"platform":[77],"under":[78],"external":[79],"forces.":[80],"Moreover,":[81],"generalised":[84],"algorithm":[85],"gives":[86],"error":[89,142],"\u2018n\u2019":[91],"legged":[92],"any":[95],"initial":[96],"orientation":[97],"platform,":[100],"along":[101],"with,":[102],"eigenvalues":[103],"and":[104,119],"corresponding":[105],"eigenvectors":[106],"manipulator.":[109],"The":[110],"results":[111],"validated":[113],"with":[114],"software-based":[115],"finite":[116],"element":[117],"analysis":[118],"by":[120],"solving":[121],"numerical":[123],"study":[124],"from":[125],"literature.":[127],"This":[128],"approach":[129],"also":[131],"be":[132],"optimisation":[135],"design":[137],"variables":[138],"minimum":[140],"Gough\u2013Stewart":[145],"Platform.":[146]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}