{"id":"W1996497223","doi":"10.1016/j.mechmachtheory.2013.03.007","title":"Nonlinear vibrations and stability of an axially moving Timoshenko beam with an intermediate spring support","year":2013,"lang":"en","type":"article","venue":"Mechanism and Machine Theory","topic":"Vibration and Dynamic Analysis","field":"Engineering","cited_by":84,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Timoshenko beam theory; Nonlinear system; Galerkin method; Mathematics; Axial symmetry; Vibration; Rotary inertia; Inertia; Beam (structure); Bifurcation; Partial differential equation; Mathematical analysis; Equations of motion; Ordinary differential equation; Discretization; Hamilton's principle; Differential equation; Classical mechanics; Physics; Geometry","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":[0.0003447308,0.0003522935,0.0003110959,0.0003262945,0.0004598551,0.0004635435,0.0005031485,0.0007279945,0.001529359],"category_scores_gemma":[0.0007639534,0.0001903903,0.0001988823,0.0002308305,0.001236997,0.0004713017,0.0006219723,0.0003890514,0.0002706069],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002132799,"about_ca_system_score_gemma":0.0003092454,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001154544,"about_ca_topic_score_gemma":0.0006143751,"domain_scores_codex":[0.9999021,0.00002017773,0.00000360509,0.00001820561,0.00003860388,0.0000172885],"domain_scores_gemma":[0.9997601,0.0001006149,0.00004792639,0.00001915507,0.00003248867,0.00003974147],"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":[0.002532662,0.0004320677,0.01186745,0.0002312191,0.0001175039,0.002139803,0.001334901,0.3247831,0.4429694,0.1698545,0.001470783,0.04226669],"study_design_scores_gemma":[0.00005308536,0.0002606129,0.008596197,0.00001212263,0.00002245091,0.0001873908,0.0002316574,0.9729967,0.009120346,0.007933237,0.0005520244,0.00003426919],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9321427,0.0001369252,0.05682407,0.0002195068,0.00006075456,0.00001782151,0.00003839738,0.00004239564,0.01051726],"genre_scores_gemma":[0.9926825,0.00004903353,0.003204514,0.00002169102,0.00001734054,0.00001534487,0.00001484204,0.000009150422,0.003985489],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001529359,"threshold_uncertainty_score":0.005116224,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004753460276368756,"score_gpt":0.1910540750254603,"score_spread":0.1863006147490916,"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."}}