{"id":"W2016568632","doi":"10.12989/csm.2012.1.3.235","title":"Internal resonance and nonlinear response of an axially moving beam: two numerical techniques","year":2012,"lang":"en","type":"article","venue":"Coupled systems mechanics an international journal","topic":"Vibration and Dynamic Analysis","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Nonlinear system; Galerkin method; Axial symmetry; Vibration; Continuation; Beam (structure); Numerical integration; Fourier transform; Ordinary differential equation; Mathematical analysis; Partial differential equation; Resonance (particle physics); Numerical continuation; Physics; Mathematics; Differential equation; Optics; Computer science; Geometry; Acoustics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003916811,0.0003690277,0.000322797,0.0003881319,0.0002497089,0.0003210023,0.0005751917,0.0005480541,0.001074304],"category_scores_gemma":[0.001241064,0.0001953822,0.000272455,0.000250161,0.0006237931,0.0004463126,0.0004684613,0.0004535468,0.0002332099],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002295071,"about_ca_system_score_gemma":0.0002551438,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006317529,"about_ca_topic_score_gemma":0.0006324626,"domain_scores_codex":[0.9998397,0.00004186878,0.000006823129,0.00001830562,0.0000802604,0.00001317446],"domain_scores_gemma":[0.9996535,0.000174708,0.00005294041,0.00006131628,0.00004566901,0.00001193827],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0003628916,0.000209525,0.002699166,0.0004429971,0.00004629855,0.0004914589,0.000909009,0.3728035,0.4611415,0.07376043,0.0005397943,0.0865935],"study_design_scores_gemma":[0.00001889164,0.00008552155,0.0005718058,0.00001579415,0.000009578905,0.0001702312,0.00004971079,0.9672545,0.02821309,0.002529414,0.001057454,0.00002393846],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2744015,0.000455561,0.7121249,0.0002514645,0.00005587186,0.00006537224,0.0000359718,0.0003640096,0.01224525],"genre_scores_gemma":[0.7041984,0.000463975,0.2906513,0.00004669805,0.00002034815,0.00009767635,0.00003704114,0.00006161017,0.004422991],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001074304,"threshold_uncertainty_score":0.003593922,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01010878672190236,"score_gpt":0.2657514972787718,"score_spread":0.2556427105568695,"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."}}