{"id":"W2095097081","doi":"10.1115/1.1483832","title":"The Proportional-Damping Matrix of Arbitrarily Damped Linear Mechanical Systems","year":2002,"lang":"en","type":"article","venue":"Journal of Applied Mechanics","topic":"Elasticity and Material Modeling","field":"Engineering","cited_by":21,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Nanyang Technological University","keywords":"Damping matrix; Matrix (chemical analysis); Mechanical system; Square (algebra); Linear system; Degrees of freedom (physics and chemistry); Vibration; Stiffness; Physics; Control theory (sociology); Mathematical analysis; Stiffness matrix; Mathematics; Computer science; Geometry; Acoustics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0005385195,0.0001292518,0.0003023113,0.0000690353,0.0000860853,0.00004007029,0.0002352495,0.0001197286,0.00001867228],"category_scores_gemma":[0.00004149856,0.00009552662,0.00009668708,0.0001141353,0.00001154294,0.00007787796,0.00002960962,0.0003189187,0.00001089718],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005072234,"about_ca_system_score_gemma":0.00001953737,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001164393,"about_ca_topic_score_gemma":8.230891e-7,"domain_scores_codex":[0.998518,0.00001414414,0.000805163,0.00007692932,0.0003759606,0.0002097521],"domain_scores_gemma":[0.9992267,0.00009866447,0.0003050904,0.0001433681,0.0001433281,0.00008279946],"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":[0.0001209222,0.00006255721,2.199608e-7,0.0002693303,0.0001795648,0.00001204546,0.0002198457,0.328007,0.3645424,0.3053615,0.0003042603,0.0009203801],"study_design_scores_gemma":[0.0005798509,0.0001107141,5.045676e-7,0.0001386066,0.00008899863,0.0000869006,0.000278113,0.9427624,0.0411436,0.01204687,0.002592814,0.0001705861],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1464465,0.001271733,0.846749,0.0001104651,0.00329126,0.0004212325,0.00001268555,0.000115947,0.001581182],"genre_scores_gemma":[0.9927091,0.0004416968,0.006380885,0.00001316519,0.000400674,0.000005246965,7.51456e-7,0.00003070278,0.00001780472],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8462626,"threshold_uncertainty_score":0.3895463,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01613316613760236,"score_gpt":0.2094269116528342,"score_spread":0.1932937455152318,"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."}}