{"id":"W2042507617","doi":"10.1115/imece2011-64822","title":"Chaotic Vibrations of Functionally Graded Doubly Curved Shells With Internal Resonance","year":2011,"lang":"en","type":"article","venue":"Volume 7: Dynamic Systems and Control; Mechatronics and Intelligent Machines, Parts A and B","topic":"Composite Structure Analysis and Optimization","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Lyapunov exponent; Mathematical analysis; Ordinary differential equation; Galerkin method; Shell (structure); Mathematics; Nonlinear system; Bifurcation; Partial differential equation; Vibration; Physics; Equations of motion; Chaotic; Differential equation; Classical mechanics; Quantum mechanics","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":[0.0001429143,0.0002170456,0.0003768824,0.0001142027,0.00009775963,0.00007965184,0.00006781383,0.00007020929,0.00003661806],"category_scores_gemma":[0.000003465815,0.0001625624,0.000053033,0.00009765478,0.00004442004,0.0001299502,0.00002305823,0.0001111652,8.822802e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002282457,"about_ca_system_score_gemma":0.00001499352,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003491392,"about_ca_topic_score_gemma":0.0003065303,"domain_scores_codex":[0.9990189,0.00003284197,0.0003888714,0.0002429923,0.000134847,0.0001815543],"domain_scores_gemma":[0.9995467,0.0000223044,0.0001086858,0.0001506892,0.0000816781,0.00008990773],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00212561,0.0005452564,0.1512578,0.002661853,0.00537188,0.00004356513,0.008223603,0.3187002,0.01505162,0.3375416,0.0004983055,0.1579788],"study_design_scores_gemma":[0.0006229058,0.0002504974,0.005839969,0.0001011999,0.0001526326,0.00003667215,0.0000865407,0.9908776,0.0000284976,0.0003254926,0.001469497,0.0002085021],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4078357,0.02748639,0.5628442,0.0000536704,0.0004344494,0.0005242046,0.00006620913,0.00007963006,0.000675648],"genre_scores_gemma":[0.9974849,0.001848252,0.000319829,0.00001642163,0.00004039116,0.00001988463,0.00002482949,0.00002137452,0.0002241687],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6721774,"threshold_uncertainty_score":0.6629104,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005818589284920381,"score_gpt":0.1738869436187026,"score_spread":0.1680683543337822,"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."}}