{"id":"W2042708694","doi":"10.1155/2010/501902","title":"Frequency Equations for the In‐Plane Vibration of Circular Annular Disks","year":2010,"lang":"en","type":"article","venue":"Advances in Acoustics and Vibration","topic":"Railway Engineering and Dynamics","field":"Engineering","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"","keywords":"Vibration; Boundary value problem; Bessel function; Mathematical analysis; Isotropy; Mathematics; Rotational symmetry; Plane (geometry); Elasticity (physics); Physics; Geometry; Mechanics; Acoustics; 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":[0.0001061357,0.00006526132,0.00007567745,0.00006226658,0.00002899995,0.00001572381,0.00004847325,0.00005617443,0.000001856725],"category_scores_gemma":[0.0001045901,0.00005683516,0.00001226861,0.0001125473,0.00002270198,0.0002349882,0.000004330107,0.0001074971,1.950634e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009439121,"about_ca_system_score_gemma":0.000007680758,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006368211,"about_ca_topic_score_gemma":0.0001355608,"domain_scores_codex":[0.9996105,0.000003718578,0.0001719915,0.00007177227,0.00005576744,0.00008628004],"domain_scores_gemma":[0.9996641,0.0001742016,0.00002415328,0.0001008607,0.00002277918,0.0000138689],"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":[0.000001512917,0.000008359595,0.000986497,0.00007527809,0.000002788686,2.478054e-7,0.000125032,0.8682417,0.115062,0.01065347,0.000001768057,0.004841337],"study_design_scores_gemma":[0.0001600329,0.00001619261,0.006770581,0.00001493501,0.000007334047,6.900817e-7,0.00004567042,0.9866323,0.001074071,0.005121047,0.00008744484,0.00006962968],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1204554,0.0008182395,0.8780418,0.00003040112,0.0003553284,0.0001649997,0.00002835254,0.00002489449,0.00008055213],"genre_scores_gemma":[0.9883525,0.0007263519,0.01076755,0.00000662424,0.00005235348,0.00003448039,0.00004748374,0.00001070199,0.000001955689],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8678971,"threshold_uncertainty_score":0.2317671,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005767748672622995,"score_gpt":0.2295309438663861,"score_spread":0.2237631951937631,"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."}}