{"id":"W4313325424","doi":"10.1007/s10483-023-2948-9","title":"Unified two-phase nonlocal formulation for vibration of functionally graded beams resting on nonlocal viscoelastic Winkler-Pasternak foundation","year":2022,"lang":"en","type":"article","venue":"Applied Mathematics and Mechanics","topic":"Nonlocal and gradient elasticity in micro/nano structures","field":"Materials Science","cited_by":27,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Viscoelasticity; Vibration; Quantum nonlocality; Foundation (evidence); Stiffness; Eigenvalues and eigenvectors; Classical mechanics; Physics; Structural engineering; Mathematical analysis; Mathematics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005270229,0.0002125863,0.0002951251,0.0001187947,0.0004962606,0.00006372399,0.0001661424,0.00006311618,0.0000985564],"category_scores_gemma":[0.00007891193,0.0001967442,0.0000606768,0.0001623343,0.00003260598,0.00009788501,0.0001299283,0.0001367547,0.000006630262],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005969341,"about_ca_system_score_gemma":0.00005638279,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000075744,"about_ca_topic_score_gemma":0.000008306612,"domain_scores_codex":[0.998388,0.00002287422,0.0005482905,0.0003374526,0.0004417539,0.000261649],"domain_scores_gemma":[0.9988407,0.0003970415,0.000398313,0.0002013432,0.00008889416,0.00007370536],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000227262,0.0001889862,3.91478e-7,0.000131434,0.00001087074,4.258406e-7,0.0002818836,0.006390559,0.551361,0.4388415,0.00001679138,0.002548902],"study_design_scores_gemma":[0.003587606,0.001294426,0.000006191564,0.00006508944,0.0001336802,0.00002499588,0.0007049292,0.5652485,0.2736397,0.1546959,0.0002454554,0.0003534677],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4032673,0.000004375821,0.5955638,0.00004335719,0.0003312157,0.0005968203,0.0000604247,0.0000378854,0.00009489884],"genre_scores_gemma":[0.9449963,0.000001796017,0.05438981,0.0001205561,0.0001081308,0.0001492698,0.0001771125,0.00002950236,0.00002751043],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5588579,"threshold_uncertainty_score":0.8022994,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02075630712491741,"score_gpt":0.2632366434302976,"score_spread":0.2424803363053802,"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."}}