{"id":"W2062756108","doi":"10.1016/s0266-8920(03)00030-4","title":"On finite element analysis of beams with random material properties","year":2003,"lang":"en","type":"article","venue":"Probabilistic Engineering Mechanics","topic":"Probabilistic and Robust Engineering Design","field":"Decision Sciences","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Finite element method; Stiffness matrix; Mathematics; Beam (structure); Mathematical analysis; Random variable; Random function; Stiffness; Matrix (chemical analysis); Taylor series; Material properties; Probability density function; Boundary value problem; Structural engineering; Physics; Materials science; Engineering","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":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.002618952,0.0003426909,0.0008218301,0.0006758918,0.00007026555,0.0001042818,0.0005141326,0.0001094421,0.0002434631],"category_scores_gemma":[0.0148765,0.0002215272,0.000198428,0.001957771,0.00004094658,0.00009627591,0.00005073285,0.0001706461,0.0000173337],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000980555,"about_ca_system_score_gemma":0.00009782776,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006229996,"about_ca_topic_score_gemma":0.000003526003,"domain_scores_codex":[0.9967375,0.0001257996,0.0009096575,0.0005914381,0.001208261,0.0004273615],"domain_scores_gemma":[0.9967681,0.001418693,0.0002272793,0.0008854882,0.0005502531,0.0001502383],"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":[0.0001301749,0.00008652001,0.0000130746,0.00005059382,0.0003000919,0.000003904117,0.0001001188,0.8561261,0.0007184459,0.1422937,0.00005920141,0.0001180033],"study_design_scores_gemma":[0.0009145305,0.0004239415,0.00003348709,0.0001022139,0.0006507171,0.000003263744,0.00005182521,0.9770288,0.006038393,0.01330215,0.001033933,0.0004167354],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02003155,0.00006646353,0.9782612,0.00001893598,0.000636069,0.0005334917,0.00004572108,0.0001263402,0.0002802237],"genre_scores_gemma":[0.9805559,0.000005916385,0.0190547,0.00002107158,0.00003352442,0.00009658778,0.000009774593,0.00003834824,0.0001842044],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9605243,"threshold_uncertainty_score":0.9934216,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03719129322193755,"score_gpt":0.2443115140730965,"score_spread":0.2071202208511589,"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."}}