{"id":"https://openalex.org/W2000362992","doi":"https://doi.org/10.4028/www.scientific.net/amr.418-420.1022","title":"Idealisation and Formulation in Structural Dynamics Using Modal Analysis","display_name":"Idealisation and Formulation in Structural Dynamics Using Modal Analysis","publication_year":2011,"publication_date":"2011-12-06","ids":{"openalex":"https://openalex.org/W2000362992","doi":"https://doi.org/10.4028/www.scientific.net/amr.418-420.1022","mag":"2000362992"},"language":"en","primary_location":{"id":"doi:10.4028/www.scientific.net/amr.418-420.1022","doi":"https://doi.org/10.4028/www.scientific.net/amr.418-420.1022","is_oa":true,"landing_page_url":"https://doi.org/10.4028/www.scientific.net/amr.418-420.1022","pdf_url":null,"source":{"id":"https://openalex.org/S67425620","display_name":"Advanced materials research","issn_l":"1022-6680","issn":["1022-6680","1662-8985"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310317839","host_organization_name":"Trans Tech Publications","host_organization_lineage":["https://openalex.org/P4310317839"],"host_organization_lineage_names":["Trans Tech Publications"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Materials Research","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.4028/www.scientific.net/amr.418-420.1022","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Muhammad Danish","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I189109744","display_name":"Indian Institute of Technology Dhanbad","ror":"https://ror.org/013v3cc28","country_code":"IN","type":"education","lineage":["https://openalex.org/I189109744"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Muhammad Danish","raw_affiliation_strings":["Indian School of Mines"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian School of Mines","institution_ids":["https://openalex.org/I189109744"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031913202","display_name":"Vinay Kumar Pingali","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I189109744","display_name":"Indian Institute of Technology Dhanbad","ror":"https://ror.org/013v3cc28","country_code":"IN","type":"education","lineage":["https://openalex.org/I189109744"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vinay Kumar Pingali","raw_affiliation_strings":["Indian School of Mines"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian School of Mines","institution_ids":["https://openalex.org/I189109744"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091828834","display_name":"Somnath Chattopadhyaya","orcid":"https://orcid.org/0000-0002-6814-7936","observed_orcids":["https://orcid.org/0000-0002-6814-7936"]},"institutions":[{"id":"https://openalex.org/I189109744","display_name":"Indian Institute of Technology Dhanbad","ror":"https://ror.org/013v3cc28","country_code":"IN","type":"education","lineage":["https://openalex.org/I189109744"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Somnath Chattopadhyaya","raw_affiliation_strings":["Indian School of Mines"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian School of Mines","institution_ids":["https://openalex.org/I189109744"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037460345","display_name":"Nishant Kumar Singh","orcid":"https://orcid.org/0000-0002-2353-9725","observed_orcids":["https://orcid.org/0000-0002-2353-9725"]},"institutions":[{"id":"https://openalex.org/I189109744","display_name":"Indian Institute of Technology Dhanbad","ror":"https://ror.org/013v3cc28","country_code":"IN","type":"education","lineage":["https://openalex.org/I189109744"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"N.K. Singh","raw_affiliation_strings":["Indian School of Mines"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian School of Mines","institution_ids":["https://openalex.org/I189109744"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057471469","display_name":"Anusree Ray","orcid":"https://orcid.org/0000-0001-6493-920X","observed_orcids":["https://orcid.org/0000-0001-6493-920X"]},"institutions":[{"id":"https://openalex.org/I115715567","display_name":"Birla Institute of Technology, Mesra","ror":"https://ror.org/028vtqb15","country_code":"IN","type":"education","lineage":["https://openalex.org/I115715567"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"A.K. Ray","raw_affiliation_strings":["Birla Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Birla Institute of Technology","institution_ids":["https://openalex.org/I115715567"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14670353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"418-420","issue":null,"first_page":"1022","last_page":"1025"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12206","display_name":"Vibration and Dynamic Analysis","score":0.79830002784729,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.79830002784729,"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/T13451","display_name":"Mechanical Engineering Research and Applications","score":0.12630000710487366,"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"}},{"id":"https://openalex.org/T12435","display_name":"Bladed Disk Vibration Dynamics","score":0.019099999219179153,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/structural-dynamics","display_name":"structural dynamics","score":0.9240000247955322},{"id":"https://openalex.org/keywords/modal-analysis","display_name":"modal analysis","score":0.9959999918937683},{"id":"https://openalex.org/keywords/lumped-mass-model","display_name":"lumped mass model","score":0.7099999785423279},{"id":"https://openalex.org/keywords/idealization","display_name":"idealization","score":0.5059999823570251},{"id":"https://openalex.org/keywords/equations-of-motion","display_name":"equations of motion","score":0.8970000147819519},{"id":"https://openalex.org/keywords/multiple-reference-frames","display_name":"multiple reference frames","score":0.8889999985694885},{"id":"https://openalex.org/keywords/complex-structure","display_name":"complex structure","score":0.5400000214576721},{"id":"https://openalex.org/keywords/dynamic-equilibrium","display_name":"dynamic equilibrium","score":0.6190000176429749},{"id":"https://openalex.org/keywords/vibration","display_name":"vibration","score":0.35499998927116394}],"concepts":[{"id":"https://openalex.org/C2780986378","wikidata":"https://www.wikidata.org/wiki/Q776634","display_name":"Idealization","level":2,"score":0.7904775738716125},{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.6325898766517639},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6148672103881836},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.5864123106002808},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.5531182289123535},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.496966153383255},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.4861885905265808},{"id":"https://openalex.org/C172849965","wikidata":"https://www.wikidata.org/wiki/Q3148875","display_name":"Reference frame","level":3,"score":0.47653183341026306},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.473565936088562},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4691570997238159},{"id":"https://openalex.org/C104286136","wikidata":"https://www.wikidata.org/wiki/Q1416137","display_name":"Modal analysis","level":3,"score":0.4529511034488678},{"id":"https://openalex.org/C2778712887","wikidata":"https://www.wikidata.org/wiki/Q102836","display_name":"Spring (device)","level":2,"score":0.44195452332496643},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3416230380535126},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3342617154121399},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.32732993364334106},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3083968758583069},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.24741148948669434},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20229756832122803},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.14927175641059875},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.12311059236526489},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08420544862747192},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4028/www.scientific.net/amr.418-420.1022","doi":"https://doi.org/10.4028/www.scientific.net/amr.418-420.1022","is_oa":true,"landing_page_url":"https://doi.org/10.4028/www.scientific.net/amr.418-420.1022","pdf_url":null,"source":{"id":"https://openalex.org/S67425620","display_name":"Advanced materials research","issn_l":"1022-6680","issn":["1022-6680","1662-8985"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310317839","host_organization_name":"Trans Tech Publications","host_organization_lineage":["https://openalex.org/P4310317839"],"host_organization_lineage_names":["Trans Tech Publications"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Materials Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.4028/www.scientific.net/amr.418-420.1022","doi":"https://doi.org/10.4028/www.scientific.net/amr.418-420.1022","is_oa":true,"landing_page_url":"https://doi.org/10.4028/www.scientific.net/amr.418-420.1022","pdf_url":null,"source":{"id":"https://openalex.org/S67425620","display_name":"Advanced materials research","issn_l":"1022-6680","issn":["1022-6680","1662-8985"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310317839","host_organization_name":"Trans Tech Publications","host_organization_lineage":["https://openalex.org/P4310317839"],"host_organization_lineage_names":["Trans Tech Publications"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advanced Materials Research","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1528850474","https://openalex.org/W1968333526","https://openalex.org/W2005598071","https://openalex.org/W2040478557","https://openalex.org/W2138105810"],"related_works":["https://openalex.org/W2005598071","https://openalex.org/W4244690039","https://openalex.org/W3155262655","https://openalex.org/W4285797546","https://openalex.org/W4412813661","https://openalex.org/W2314541660","https://openalex.org/W220950279","https://openalex.org/W4410836630","https://openalex.org/W4399216718","https://openalex.org/W4205763691"],"abstract_inverted_index":{"The":[0,60],"crux":[1],"feature":[2],"of":[3,9,40,50,92,153],"this":[4],"paper":[5],"is":[6,45,52,134,140],"the":[7,27,38,74],"equations":[8],"motion":[10,51],"in":[11,105,113,117,120,136],"a":[12,71,90,137,141,144],"structural":[13],"dynamics":[14],"with":[15,54,77,89,98],"respect":[16,55,78],"to":[17,56,79],"single":[18,57],"reference":[19,58,81],"frame":[20],"that":[21],"can":[22],"be":[23],"easily":[24],"derived,":[25],"and":[26,32,47,65,101,122,147],"results":[28,61,75,112,119],"are":[29,62,104],"well":[30],"defined":[31],"converged.":[33,67],"However,":[34],"problem":[35],"occurs,":[36],"when":[37],"analysis":[39],"any":[41],"complex,":[42],"complicated":[43],"structure":[44],"considered":[46],"its":[48],"equation":[49],"extracted":[53],"frame.":[59],"indecipherable,":[63],"ambiguous":[64],"less":[66],"Thus,":[68],"for":[69,107],"such":[70],"complex":[72],"structure,":[73],"obtain":[76],"multiple":[80],"frames.":[82],"In":[83],"present":[84],"study,":[85],"an":[86,157],"approximated":[87],"model":[88],"set":[91],"lumped":[93],"masses,":[94],"properly":[95],"interconnected,":[96],"along":[97],"discrete":[99],"spring":[100],"damper":[102],"elements":[103],"consideration":[106],"continuous":[108],"vibrating":[109],"system.":[110],"This":[111],"dynamic":[114],"equilibrium,":[115],"which":[116],"turn":[118],"formulation":[121],"idealization.":[123],"As,":[124],"rightly":[125],"said":[126],"by":[127],"scientist":[128],"Steve":[129],"Lacy-":[130],"\u201cTo":[131],"me,":[132],"there":[133],"spirit":[135,152],"reed.":[138],"It":[139],"living":[142],"thing,":[143],"weed,":[145],"really":[146,156],"it":[148],"does":[149],"not":[150],"contain":[151],"sort.":[154],"It\u2019s":[155],"ancient":[158],"vibration\u201d":[159]},"counts_by_year":[],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}
