{"id":"W2081701813","doi":"10.1115/pvp2006-icpvt-11-93796","title":"The Behaviour of Fluid-Conveying Pipes, Supported at Both Ends, by the Complete Extensible Nonlinear Equations of Motion","year":2006,"lang":"en","type":"article","venue":"","topic":"Vibration and Dynamic Analysis","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bifurcation; Pitchfork bifurcation; Nonlinear system; Mechanics; Galerkin method; Mathematics; Discretization; Physics; Differential equation; Mathematical analysis; Classical mechanics; Bifurcation theory","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":[0.0003608732,0.0007945411,0.000547195,0.0003459751,0.000312314,0.0007430996,0.0006711851,0.001151135,0.001170813],"category_scores_gemma":[0.001565106,0.0004421906,0.000707001,0.000138081,0.0009829781,0.001154155,0.0008959729,0.0007065184,0.0002389918],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003324239,"about_ca_system_score_gemma":0.0003645616,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001326148,"about_ca_topic_score_gemma":0.001040404,"domain_scores_codex":[0.9997746,0.00004455816,0.00001330108,0.00004270666,0.00010445,0.00002035225],"domain_scores_gemma":[0.9995604,0.0001642511,0.0001233634,0.00005151373,0.00007399007,0.00002642879],"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":[0.0001410479,0.00007982343,0.003792143,0.0002138638,0.00005018304,0.0008433045,0.0005282955,0.7820117,0.1780327,0.01792675,0.0002255296,0.01615458],"study_design_scores_gemma":[0.00001439394,0.0001014755,0.001552639,0.000008926999,0.000008419444,0.0001518884,0.00004443775,0.9852482,0.01022435,0.001945642,0.0006723474,0.00002724185],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7066061,0.0003728935,0.2860915,0.000208288,0.00004633452,0.00006864314,0.00008456918,0.00009779641,0.00642385],"genre_scores_gemma":[0.9600319,0.0003457879,0.02917042,0.000067958,0.00001807374,0.00007514106,0.0001096714,0.00003961091,0.0101414],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001326148,"threshold_uncertainty_score":0.00391674,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01205656396356449,"score_gpt":0.2122313484441567,"score_spread":0.2001747844805922,"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."}}