{"id":"W2078463660","doi":"10.1016/j.ijsolstr.2008.08.002","title":"Non-linear parametric vibration and stability of axially moving visco-elastic Rayleigh beams","year":2008,"lang":"en","type":"article","venue":"International Journal of Solids and Structures","topic":"Vibration and Dynamic Analysis","field":"Engineering","cited_by":114,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"McGill University","keywords":"Axial symmetry; Vibration; Bifurcation; Mathematical analysis; Mathematics; Equations of motion; Rayleigh scattering; Parametric statistics; Method of averaging; Parametric oscillator; Multiple-scale analysis; Normal mode; Nonlinear system; Amplitude; Stability criterion; Linear system; Classical mechanics; Beam (structure); Stability (learning theory); Physics; Geometry; Optics; Acoustics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.00009340319,0.00008665487,0.0001868423,0.0002284919,0.0000379157,0.00002739763,0.00009516188,0.00004843148,0.00004801822],"category_scores_gemma":[0.00007174072,0.00007063739,0.00006090441,0.00009605474,0.00007127404,0.0002142634,0.00001982814,0.0001155635,2.205057e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002453026,"about_ca_system_score_gemma":0.00002746719,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001225416,"about_ca_topic_score_gemma":0.000004828279,"domain_scores_codex":[0.9991941,0.00001233589,0.000382846,0.00006953727,0.0002743248,0.00006680389],"domain_scores_gemma":[0.9994972,0.00005966033,0.0001419459,0.00004768531,0.0001960026,0.00005745015],"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":[0.0003978998,0.0001209683,0.1861822,0.0002036815,0.001800759,0.0001223352,0.004738784,0.7159144,0.06270131,0.003519777,0.0003161785,0.02398166],"study_design_scores_gemma":[0.001051689,0.0001513373,0.2734501,0.00004520264,0.00007166861,0.0003594033,0.0002507243,0.7121131,0.009550099,0.002684698,0.0000800393,0.0001919434],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8788246,0.0002148585,0.120518,0.00005031136,0.0002284892,0.00002509141,0.00000832611,0.000006886179,0.000123485],"genre_scores_gemma":[0.995624,0.0003684729,0.003813126,0.00002766545,0.0001513211,3.281107e-7,0.000004122762,0.000006766199,0.000004171498],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1167994,"threshold_uncertainty_score":0.2880509,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009068964694136789,"score_gpt":0.234530892608868,"score_spread":0.2254619279147312,"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."}}