{"id":"W3211528983","doi":"10.1115/imece2000-2175","title":"Free Vibration of Spinning Stepped Timoshenko Beams Using Finite Element Method","year":2000,"lang":"en","type":"article","venue":"","topic":"Metallurgy and Material Forming","field":"Engineering","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University; University of Toronto","funders":"","keywords":"Finite element method; Timoshenko beam theory; Equations of motion; Vibration; Boundary value problem; Galerkin method; Beam (structure); Differential equation; Bending; Structural engineering; Mathematical analysis; Mathematics; Physics; Classical mechanics; Engineering; 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":[0.0002004409,0.000263137,0.0002560094,0.0002163241,0.0001521517,0.0002713002,0.0004288341,0.0004894251,0.001376978],"category_scores_gemma":[0.0003892098,0.0001626357,0.0002935214,0.0001398594,0.0003720121,0.0002468214,0.0002476575,0.0002086932,0.0002279935],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001643866,"about_ca_system_score_gemma":0.000296999,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001429103,"about_ca_topic_score_gemma":0.001360395,"domain_scores_codex":[0.9999034,0.00002261803,0.000003633148,0.00001022739,0.00005114814,0.000008939705],"domain_scores_gemma":[0.9998724,0.00007192091,0.00001442896,0.00001329584,0.00002234677,0.000005549876],"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":[0.00007854761,0.00004086083,0.001091683,0.0001295071,0.00002285214,0.0001726027,0.0002074441,0.9006655,0.05344954,0.0131631,0.0003078509,0.0306705],"study_design_scores_gemma":[0.000002785032,0.00001663606,0.0001871572,0.000005524539,0.000001689976,0.0000145786,0.00001097156,0.9970282,0.002003024,0.0003923538,0.000334027,0.000003032219],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2270834,0.0002526785,0.7646692,0.00007549233,0.0000291542,0.00004678498,0.00007180791,0.0001847597,0.00758676],"genre_scores_gemma":[0.9261898,0.000201514,0.06930245,0.00001953618,0.00000793958,0.00006596316,0.00005676454,0.00002769265,0.004128302],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001429103,"threshold_uncertainty_score":0.004606485,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01931291381874061,"score_gpt":0.2566851858346553,"score_spread":0.2373722720159147,"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."}}