{"id":"W2735711268","doi":"10.22059/jcamech.2017.233687.145","title":"Nonlinear Vibration and Stability Analysis of Beam on the Variable Viscoelastic Foundation","year":2017,"lang":"en","type":"article","venue":"Applied and Computational Mechanics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"","keywords":"Deflection (physics); Nonlinear system; Boundary value problem; Homotopy perturbation method; Vibration; Galerkin method; Mathematics; Mathematical analysis; Homotopy analysis method; Beam (structure); Perturbation (astronomy); Buckling; Homotopy; Classical mechanics; Structural engineering; Physics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001301907,0.0002063892,0.000172667,0.0002646821,0.0001907124,0.0001768336,0.0001768879,0.000262793,0.001136784],"category_scores_gemma":[0.0002805898,0.00008119967,0.0002262587,0.0001238556,0.0003455846,0.0002242106,0.0002986333,0.0001758757,0.00008941275],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001357608,"about_ca_system_score_gemma":0.000219984,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001199703,"about_ca_topic_score_gemma":0.0006391689,"domain_scores_codex":[0.9999419,0.00001284236,0.000001693643,0.00001079976,0.00002268128,0.00001009245],"domain_scores_gemma":[0.9999367,0.0000221887,0.00001170438,0.000006731755,0.00001732235,0.000005456144],"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":[0.000245542,0.0000680702,0.008036369,0.0001894341,0.00008158537,0.0009014196,0.0004860216,0.6182786,0.2928749,0.03186198,0.0004856773,0.04649039],"study_design_scores_gemma":[0.000005997253,0.00005193193,0.003173966,0.000006862899,0.000005548678,0.00006700722,0.00006188868,0.9895427,0.004600714,0.002188932,0.0002865164,0.000007982146],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8782297,0.0002913609,0.1159777,0.0001024121,0.00002540046,0.00001577141,0.0000332985,0.00003639711,0.005287792],"genre_scores_gemma":[0.995315,0.00009282539,0.002933025,0.000006894932,0.000004592148,0.000009781588,0.00001366155,0.000005649957,0.001618556],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001199703,"threshold_uncertainty_score":0.003802896,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05242557304339828,"score_gpt":0.2989121720332776,"score_spread":0.2464865989898793,"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."}}