{"id":"W2050591096","doi":"10.1098/rsta.2012.0474","title":"Reduced-order models for nonlinear vibrations, based on natural modes: the case of the circular cylindrical shell","year":2013,"lang":"en","type":"article","venue":"Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences","topic":"Vibration and Dynamic Analysis","field":"Engineering","cited_by":30,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Discretization; Nonlinear system; Vibration; Shell (structure); Degrees of freedom (physics and chemistry); Natural frequency; Reduction (mathematics); Shell theory; Mathematics; Normal mode; Mathematical analysis; Geometry; Physics; Engineering; Acoustics; Mechanical engineering","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001510713,0.0001504647,0.0002209479,0.00001840831,0.000305596,0.00003933084,0.0002955438,0.00006472316,0.00001249191],"category_scores_gemma":[0.00005497941,0.00007288309,0.0004413993,0.0004327156,0.000429652,0.000111227,0.00001529152,0.0002722913,0.000001068283],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001716603,"about_ca_system_score_gemma":0.00002064512,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008422492,"about_ca_topic_score_gemma":3.966018e-7,"domain_scores_codex":[0.9991381,0.00002431547,0.000251403,0.0001603432,0.0002534043,0.0001725021],"domain_scores_gemma":[0.9991527,0.000455234,0.00003620277,0.0002396969,0.00005869185,0.00005744885],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000001320626,0.00009341643,3.051944e-7,0.0001169972,0.00004205306,7.476716e-8,0.0001605861,0.980521,0.0007270631,0.01818628,0.000009067638,0.0001418119],"study_design_scores_gemma":[0.0001136541,0.00002690741,0.00001114602,0.00003910061,0.00007500262,0.000003806387,0.00008339203,0.9412836,0.0007744299,0.05749788,0.000001604835,0.00008946298],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1064539,0.00003350168,0.8873081,0.005435791,0.00007403758,0.0003922574,0.00002619049,0.00005420249,0.000222015],"genre_scores_gemma":[0.9905915,0.000002129953,0.00918647,0.00008048881,0.00005692218,0.00005820521,6.846983e-7,0.00001191836,0.00001172403],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8841376,"threshold_uncertainty_score":0.2972086,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01460568202877945,"score_gpt":0.2245346092576548,"score_spread":0.2099289272288754,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}