{"id":"https://openalex.org/W3085291322","doi":"https://doi.org/10.3390/sym12091507","title":"Concept System and Application of Point Group Symmetry in Mechanical Structure Design","display_name":"Concept System and Application of Point Group Symmetry in Mechanical Structure Design","publication_year":2020,"publication_date":"2020-09-14","ids":{"openalex":"https://openalex.org/W3085291322","doi":"https://doi.org/10.3390/sym12091507","mag":"3085291322"},"language":"en","primary_location":{"id":"doi:10.3390/sym12091507","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12091507","pdf_url":"https://www.mdpi.com/2073-8994/12/9/1507/pdf?version=1600073867","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/12/9/1507/pdf?version=1600073867","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050248789","display_name":"Xiuming Chen","orcid":"https://orcid.org/0000-0001-8057-014X"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiuming Chen","raw_affiliation_strings":["State Key Lab of Computer Aided Design and Computer Graphics, Zhejiang University, Hangzhou 310027, China"],"affiliations":[{"raw_affiliation_string":"State Key Lab of Computer Aided Design and Computer Graphics, Zhejiang University, Hangzhou 310027, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011847831","display_name":"Qingying Qiu","orcid":"https://orcid.org/0000-0001-6884-3125"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingying Qiu","raw_affiliation_strings":["State Key Lab of Computer Aided Design and Computer Graphics, Zhejiang University, Hangzhou 310027, China"],"affiliations":[{"raw_affiliation_string":"State Key Lab of Computer Aided Design and Computer Graphics, Zhejiang University, Hangzhou 310027, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041105948","display_name":"Chao Yang","orcid":"https://orcid.org/0000-0003-0917-5256"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Yang","raw_affiliation_strings":["State Key Lab of Computer Aided Design and Computer Graphics, Zhejiang University, Hangzhou 310027, China"],"affiliations":[{"raw_affiliation_string":"State Key Lab of Computer Aided Design and Computer Graphics, Zhejiang University, Hangzhou 310027, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102206556","display_name":"Peien Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peien Feng","raw_affiliation_strings":["State Key Lab of Computer Aided Design and Computer Graphics, Zhejiang University, Hangzhou 310027, China"],"affiliations":[{"raw_affiliation_string":"State Key Lab of Computer Aided Design and Computer Graphics, Zhejiang University, Hangzhou 310027, China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5050248789"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.2503,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.54414513,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"12","issue":"9","first_page":"1507","last_page":"1507"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12254","display_name":"Machine Learning in Bioinformatics","score":0.9419000148773193,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12254","display_name":"Machine Learning in Bioinformatics","score":0.9419000148773193,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.7787681818008423},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.686043918132782},{"id":"https://openalex.org/keywords/symmetry-operation","display_name":"Symmetry operation","score":0.603935956954956},{"id":"https://openalex.org/keywords/point-group","display_name":"Point group","score":0.5779760479927063},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5681549310684204},{"id":"https://openalex.org/keywords/molecular-symmetry","display_name":"Molecular symmetry","score":0.5635592937469482},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4950381815433502},{"id":"https://openalex.org/keywords/symmetry-group","display_name":"Symmetry group","score":0.4709245562553406},{"id":"https://openalex.org/keywords/global-symmetry","display_name":"Global symmetry","score":0.4408862590789795},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.43402785062789917},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33731183409690857},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2639051675796509},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23292860388755798},{"id":"https://openalex.org/keywords/symmetry-breaking","display_name":"Symmetry breaking","score":0.16417449712753296},{"id":"https://openalex.org/keywords/spontaneous-symmetry-breaking","display_name":"Spontaneous symmetry breaking","score":0.14616659283638},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12875548005104065}],"concepts":[{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.7787681818008423},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.686043918132782},{"id":"https://openalex.org/C5534955","wikidata":"https://www.wikidata.org/wiki/Q7661343","display_name":"Symmetry operation","level":3,"score":0.603935956954956},{"id":"https://openalex.org/C57796230","wikidata":"https://www.wikidata.org/wiki/Q899720","display_name":"Point group","level":2,"score":0.5779760479927063},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5681549310684204},{"id":"https://openalex.org/C37197862","wikidata":"https://www.wikidata.org/wiki/Q2066775","display_name":"Molecular symmetry","level":3,"score":0.5635592937469482},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4950381815433502},{"id":"https://openalex.org/C44306375","wikidata":"https://www.wikidata.org/wiki/Q902019","display_name":"Symmetry group","level":2,"score":0.4709245562553406},{"id":"https://openalex.org/C192423722","wikidata":"https://www.wikidata.org/wiki/Q1455736","display_name":"Global symmetry","level":4,"score":0.4408862590789795},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.43402785062789917},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33731183409690857},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2639051675796509},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23292860388755798},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.16417449712753296},{"id":"https://openalex.org/C125881977","wikidata":"https://www.wikidata.org/wiki/Q736716","display_name":"Spontaneous symmetry breaking","level":3,"score":0.14616659283638},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12875548005104065},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym12091507","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12091507","pdf_url":"https://www.mdpi.com/2073-8994/12/9/1507/pdf?version=1600073867","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e1ac894aefe846559d3139df4c14bb7c","is_oa":true,"landing_page_url":"https://doaj.org/article/e1ac894aefe846559d3139df4c14bb7c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 12, Iss 9, p 1507 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/12/9/1507/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym12091507","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry; Volume 12; Issue 9; Pages: 1507","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym12091507","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12091507","pdf_url":"https://www.mdpi.com/2073-8994/12/9/1507/pdf?version=1600073867","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8968046566","display_name":null,"funder_award_id":"51175455","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3085291322.pdf","grobid_xml":"https://content.openalex.org/works/W3085291322.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W627728882","https://openalex.org/W638315772","https://openalex.org/W797481653","https://openalex.org/W1505595987","https://openalex.org/W1966240285","https://openalex.org/W1970951795","https://openalex.org/W1988245577","https://openalex.org/W1993218194","https://openalex.org/W1994838542","https://openalex.org/W1998789516","https://openalex.org/W2002752868","https://openalex.org/W2006258863","https://openalex.org/W2009549720","https://openalex.org/W2066038914","https://openalex.org/W2067133335","https://openalex.org/W2078029337","https://openalex.org/W2084683427","https://openalex.org/W2089711776","https://openalex.org/W2119093975","https://openalex.org/W2333003793","https://openalex.org/W2392462083","https://openalex.org/W2475539497","https://openalex.org/W2550037317","https://openalex.org/W2587160799","https://openalex.org/W2774691021","https://openalex.org/W2794260326","https://openalex.org/W2951199720","https://openalex.org/W4206448857","https://openalex.org/W4231244676","https://openalex.org/W4240335650","https://openalex.org/W6670296976","https://openalex.org/W6733107295"],"related_works":["https://openalex.org/W4240394748","https://openalex.org/W1579309225","https://openalex.org/W1993218194","https://openalex.org/W3195273558","https://openalex.org/W4251331210","https://openalex.org/W4214936087","https://openalex.org/W2096492326","https://openalex.org/W1531621908","https://openalex.org/W2046296246","https://openalex.org/W2066603240"],"abstract_inverted_index":{"Symmetry":[0],"has":[1,37],"been":[2,15],"widely":[3],"and":[4,10,55,82,101,121,138,180],"deeply":[5],"researched":[6],"in":[7,25,30,73,108],"basic":[8],"science,":[9],"many":[11],"mature":[12],"results":[13,179],"have":[14,53,59],"obtained":[16],"so":[17],"far.":[18],"However,":[19],"the":[20,34,60,67,78,86,92,115,124,133,142,145,177],"widespread":[21],"existence":[22],"of":[23,43,57,62,69,80,90,94,117,149,165],"symmetry":[24,72,98,105,118,152],"applied":[26,107],"science":[27],"is":[28,99,106,110,129,172],"not":[29],"direct":[31],"proportion":[32],"to":[33,52,77,85,131,155],"attention":[35],"it":[36],"received.":[38],"Through":[39],"a":[40,162],"large":[41],"number":[42],"examples":[44],"studies,":[45],"almost":[46],"all":[47],"mechanical":[48,87,95],"structures":[49],"are":[50,119,153],"found":[51],"symmetry,":[54],"most":[56],"them":[58],"characteristics":[61],"point":[63,70,96,103,150],"group":[64,71,97,104,151],"symmetry.":[65,139],"Therefore,":[66],"concept":[68],"crystallography":[74],"was":[75],"extended":[76],"field":[79],"machinery":[81,109],"adjusted":[83],"according":[84],"structures.":[88],"First":[89],"all,":[91],"classification":[93],"proposed,":[100],"how":[102],"illustrated":[111],"with":[112,168],"examples.":[113],"Then,":[114],"requirements":[116,137],"analyzed":[120],"compared.":[122],"Furthermore,":[123],"data":[125],"mining":[126,143,178],"software":[127],"RapidMiner":[128],"used":[130],"mine":[132],"association":[134],"rules":[135],"between":[136],"Based":[140],"on":[141],"results,":[144],"four":[146],"selection":[147,181],"principles":[148],"summarized":[154],"provide":[156],"ideas":[157],"for":[158],"structure":[159],"design.":[160],"Finally,":[161],"new":[163],"type":[164],"gear":[166],"pump":[167],"radial":[169],"force":[170],"balancing":[171],"invented":[173],"by":[174],"comprehensively":[175],"using":[176],"principles.":[182]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2020-09-21T00:00:00"}
