{"id":"W1998276830","doi":"10.1016/j.mechmachtheory.2012.01.008","title":"Coupled longitudinal-transverse dynamics of an axially moving beam with an internal resonance","year":2012,"lang":"en","type":"article","venue":"Mechanism and Machine Theory","topic":"Vibration and Dynamic Analysis","field":"Engineering","cited_by":100,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Nonlinear system; Galerkin method; Bifurcation; Transverse plane; Axial symmetry; Ordinary differential equation; Partial differential equation; Phase portrait; Beam (structure); Discretization; Physics; Mathematical analysis; Classical mechanics; Mathematics; Differential equation; Geometry; Optics","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":[0.0003652232,0.0001379526,0.0001822232,0.00008083229,0.00005206615,0.00001636693,0.0001020111,0.00004704422,0.0001173393],"category_scores_gemma":[0.000005387101,0.0001149693,0.00003066366,0.00008150451,0.00003644916,0.0003599898,0.00001766694,0.0001025075,0.000001828353],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002059089,"about_ca_system_score_gemma":0.000007197458,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007278779,"about_ca_topic_score_gemma":0.0004747813,"domain_scores_codex":[0.9994039,0.00003794991,0.0001513993,0.0001198558,0.0001128946,0.0001740091],"domain_scores_gemma":[0.9996142,0.0000196512,0.00003592622,0.0001887468,0.00002179604,0.000119666],"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":[0.0005435238,0.000231902,0.002757536,0.0001619643,0.0002215426,0.00001739485,0.002681585,0.02003719,0.01170179,0.9376037,0.00000291687,0.02403898],"study_design_scores_gemma":[0.0004645038,0.0001693495,0.001326008,0.00002279013,0.00009099846,0.00002485007,0.0003958684,0.984294,0.001574439,0.01143997,0.000009144183,0.0001880625],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4324846,0.0001416168,0.5668123,0.00000487122,0.00005105833,0.0000431925,0.00001868566,0.00007137091,0.0003723566],"genre_scores_gemma":[0.9957377,0.00004862026,0.003944061,0.00002492807,0.00003925398,0.000003798434,0.0000506843,0.00002770016,0.0001232392],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9642568,"threshold_uncertainty_score":0.4688312,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005355230726089163,"score_gpt":0.1993678302280794,"score_spread":0.1940125995019902,"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."}}