{"id":"W2099329994","doi":"10.1115/1.1331282","title":"Free Vibration of a Spinning Stepped Timoshenko Beam","year":2000,"lang":"en","type":"article","venue":"Journal of Applied Mechanics","topic":"Composite Structure Analysis and Optimization","field":"Engineering","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto; Toronto Metropolitan University","funders":"","keywords":"Timoshenko beam theory; Vibration; Lagrange multiplier; Beam (structure); Finite element method; Substructure; Equations of motion; Natural frequency; Normal mode; Spinning; Ritz method; Eigenvalues and eigenvectors; Modal analysis using FEM; Mathematical analysis; Structural engineering; Physics; Mathematics; Materials science; Modal testing; Classical mechanics; Acoustics; Engineering","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":[0.0001261805,0.00008801835,0.000223195,0.0001146185,0.00002399243,0.00001745633,0.0001442002,0.00006028511,0.0002733472],"category_scores_gemma":[0.00000415079,0.00008031732,0.00008561513,0.0002151506,0.000003323675,0.00009190765,0.000009970858,0.000129553,0.000002077772],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003525116,"about_ca_system_score_gemma":0.000011927,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.004482e-7,"about_ca_topic_score_gemma":0.000001522736,"domain_scores_codex":[0.9992385,0.000004252215,0.0004148015,0.00005323085,0.0002004752,0.00008876427],"domain_scores_gemma":[0.9995919,0.00001217069,0.0001430874,0.0001438386,0.00006739354,0.00004159649],"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":[0.00005117978,0.00001334805,0.000001746697,0.0000232154,0.00009601386,0.00000169492,0.0002137399,0.8737751,0.1040102,0.001901789,0.0003471264,0.01956494],"study_design_scores_gemma":[0.001542026,0.0002045162,0.0001194491,0.00007123809,0.0003286818,0.0000307591,0.0001313362,0.7950842,0.1877688,0.01052459,0.00390247,0.000291981],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.297011,0.0002158686,0.6909357,0.00004664972,0.0002677495,0.0001478551,0.000007702661,0.00005322333,0.0113142],"genre_scores_gemma":[0.9776757,0.0001400107,0.02198525,0.00003120942,0.0001343625,6.961361e-7,0.000004525063,0.00001789292,0.00001034927],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6806647,"threshold_uncertainty_score":0.3275245,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.003087818301135228,"score_gpt":0.1731826307116917,"score_spread":0.1700948124105565,"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."}}