{"id":"W4234121619","doi":"10.32920/ryerson.14654742.v1","title":"An investigation into the free vibrations of carbon nanotubes using analytical and finite element methods","year":2021,"lang":"en","type":"preprint","venue":"","topic":"Composite Structure Analysis and Optimization","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Finite element method; Eigenvalues and eigenvectors; Carbon nanotube; Euler's formula; Vibration; Timoshenko beam theory; Materials science; Nonlinear system; Displacement (psychology); Stiffness matrix; Normal mode; Galerkin method; Mathematical analysis; Physics; Mathematics; Composite material; Thermodynamics; 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":[0.0004404561,0.0004241517,0.0004023674,0.0004524612,0.0003361231,0.000488575,0.0004595181,0.0008354655,0.002087503],"category_scores_gemma":[0.000888503,0.0002381488,0.0005496581,0.0003749418,0.0005106927,0.0006202731,0.0003665099,0.0004552562,0.0005046476],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002001115,"about_ca_system_score_gemma":0.000466121,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001063058,"about_ca_topic_score_gemma":0.001198906,"domain_scores_codex":[0.9997433,0.00006375538,0.00001064251,0.00002707318,0.0001413961,0.00001395344],"domain_scores_gemma":[0.9997171,0.0001892251,0.00002073146,0.00002265964,0.00004394748,0.000006295861],"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":[0.00007329542,0.0001984351,0.00194279,0.0008926362,0.00004953139,0.0002746117,0.0005151607,0.6243759,0.08761921,0.09938867,0.001918791,0.182751],"study_design_scores_gemma":[0.000003524572,0.00003551384,0.0004102347,0.00005558959,0.000004920446,0.00009598491,0.00006509229,0.9814605,0.005214794,0.005879046,0.006764056,0.00001073487],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05006877,0.001896005,0.931773,0.0003239704,0.0001014826,0.00008389678,0.0001247391,0.0002079962,0.01542017],"genre_scores_gemma":[0.4014514,0.00384312,0.5746036,0.0001139051,0.0000622806,0.0003214759,0.0002890831,0.00015553,0.01915972],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002087503,"threshold_uncertainty_score":0.006983399,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0190475300831894,"score_gpt":0.2942435116898559,"score_spread":0.2751959816066665,"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."}}