{"id":"W2504799772","doi":"10.1016/b978-008043668-5/50019-5","title":"Analytical solutions for quasi-static beams","year":2000,"lang":"en","type":"book-chapter","venue":"Elsevier eBooks","topic":"Contact Mechanics and Variational Inequalities","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Polytechnique Montréal","funders":"","keywords":"Boundary value problem; Inertia; Poromechanics; Beam (structure); Partial differential equation; Term (time); Bending; Differential equation; Boundary (topology); Mathematical analysis; Mathematics; Physics; Classical mechanics; Structural engineering; Engineering; Porous medium; Porosity","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004060242,0.0003127676,0.0004272499,0.0001760111,0.0002434483,0.0001866344,0.0006697334,0.000211821,0.0002116026],"category_scores_gemma":[0.00002478982,0.0003070295,0.0003507315,0.00001750604,0.00001953647,0.00009632799,0.0001840308,0.0002377369,0.000162755],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001017073,"about_ca_system_score_gemma":0.0003075602,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001507454,"about_ca_topic_score_gemma":0.00001612296,"domain_scores_codex":[0.9982131,0.00002227872,0.0004962356,0.0004944123,0.0003525907,0.0004214522],"domain_scores_gemma":[0.9985796,0.0003064719,0.0001663671,0.0006512423,0.0001567006,0.0001396359],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00000273971,0.000007864558,1.739935e-8,0.00001733244,0.00004823417,0.000003291648,0.0001025012,0.00000169228,4.254587e-7,0.6094865,0.0001785561,0.3901509],"study_design_scores_gemma":[0.0001250714,0.00008363589,4.862043e-7,0.00006894614,0.00004554021,0.000005872957,0.000001851633,0.02083271,0.000001030801,0.4158694,0.5627347,0.000230793],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[6.90992e-7,0.0002529349,0.08633223,0.0007355876,0.0004155724,0.0004985203,0.0001323593,0.0001063616,0.9115257],"genre_scores_gemma":[0.0007482983,0.00004355935,0.005564938,0.0008561772,0.0003210686,0.00008997203,0.00005395841,0.00004098223,0.992281],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.5625561,"threshold_uncertainty_score":0.9999382,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05266610861472774,"score_gpt":0.2784438862723882,"score_spread":0.2257777776576605,"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."}}