{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004257636,0.0003680242,0.0003375875,0.0005142686,0.0003958564,0.0005630079,0.0005140273,0.0006115547,0.001394671],"category_scores_gemma":[0.002004851,0.0003069914,0.0002624805,0.0002377812,0.001323998,0.0006277125,0.0008997293,0.0004403562,0.0001824762],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002241901,"about_ca_system_score_gemma":0.0002544733,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008017599,"about_ca_topic_score_gemma":0.0005575595,"domain_scores_codex":[0.9998161,0.00005591087,0.000005790628,0.00003063052,0.0000583307,0.00003318291],"domain_scores_gemma":[0.9993886,0.0003602754,0.00008841265,0.00004215967,0.00007666976,0.00004384689],"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":[0.00161124,0.0003026491,0.01060583,0.0001720479,0.0001399437,0.001157471,0.001802112,0.6596168,0.1768521,0.1015799,0.000770627,0.04538919],"study_design_scores_gemma":[0.00002242466,0.00008948152,0.004295943,0.000005665879,0.000009002062,0.0001371886,0.0001396652,0.9849186,0.002821699,0.007372169,0.0001642819,0.00002383843],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9455266,0.0002391485,0.04913387,0.0001611991,0.00002499985,0.00001551292,0.00001947404,0.00002755541,0.004851642],"genre_scores_gemma":[0.9975536,0.00004330281,0.0009944531,0.000009506795,0.000008891783,0.000007986049,0.000007591154,0.000005167296,0.001369468],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001394671,"threshold_uncertainty_score":0.004665613,"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."}}