{"id":"W2028868264","doi":"10.1016/j.apm.2009.08.008","title":"Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory","year":2009,"lang":"en","type":"article","venue":"Applied Mathematical Modelling","topic":"Composite Structure Analysis and Optimization","field":"Engineering","cited_by":313,"is_retracted":false,"has_abstract":false,"ca_institutions":"Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Plate theory; Vibration; Boundary value problem; Stiffness; Vibration of plates; Mathematics; Mathematical analysis; Aspect ratio (aeronautics); Functionally graded material; Shear (geology); Geometry; Materials science; Material properties; Composite material; Physics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001739169,0.0001554233,0.0002433047,0.0001183929,0.00008906544,0.00003412298,0.0001010397,0.0001014915,0.00007484148],"category_scores_gemma":[0.00001209011,0.0001415623,0.00006773596,0.0002590901,0.00001671398,0.0001671302,0.0000132166,0.0001070972,0.000004843788],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004470482,"about_ca_system_score_gemma":0.00000696434,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001296455,"about_ca_topic_score_gemma":5.653542e-7,"domain_scores_codex":[0.9990665,0.00001019957,0.0004253896,0.0001309514,0.0002136203,0.0001533149],"domain_scores_gemma":[0.999516,0.00008694586,0.00007525361,0.000223571,0.00005776562,0.00004053549],"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":[0.00001859243,0.00001578251,3.214604e-7,0.00005497815,0.00003726735,1.855865e-7,0.0004143621,0.8797383,0.01058454,0.1086621,0.000007086952,0.0004664545],"study_design_scores_gemma":[0.0001410541,0.000009736652,0.000003951744,0.00003194705,0.00004922282,0.000002147391,0.00002681264,0.7125904,0.004400106,0.2826331,0.000006363499,0.0001052165],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06183963,0.00008606634,0.9354673,0.00002394602,0.00002923732,0.0001698601,0.000002523822,0.0001231378,0.002258291],"genre_scores_gemma":[0.8047031,0.00002550768,0.1951385,0.0000305361,0.00004669541,0.000004066168,0.000029707,0.00001859404,0.000003279652],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7428635,"threshold_uncertainty_score":0.5772743,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01066172557269661,"score_gpt":0.1907806577325275,"score_spread":0.1801189321598309,"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."}}