{"id":"W4405485948","doi":"10.1139/tcsme-2024-0163","title":"Using a piecewise linear spring to approximate an essentially nonlinear spring: design and validation","year":2024,"lang":"en","type":"article","venue":"Transactions of the Canadian Society for Mechanical Engineering","topic":"Mechanical Engineering and Vibrations Research","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Spring (device); Nonlinear system; Piecewise linear function; Applied mathematics; Computer science; Mathematics; Control theory (sociology); Structural engineering; Engineering; Mathematical analysis; Physics; Artificial intelligence","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"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":[0.0004398481,0.0001924734,0.0001922632,0.0001575149,0.0001862251,0.0001056479,0.0002346516,0.0001641719,0.00001239574],"category_scores_gemma":[0.00003939565,0.0001876682,0.000242487,0.0005346581,0.00001792252,0.0002070781,0.00001226083,0.000330704,0.000001621176],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002532805,"about_ca_system_score_gemma":0.0001519565,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001676032,"about_ca_topic_score_gemma":0.0008694243,"domain_scores_codex":[0.9988641,0.00001303129,0.000275785,0.0002499142,0.0001887658,0.0004083641],"domain_scores_gemma":[0.9991355,0.00009960253,0.00001044563,0.000286082,0.00005556055,0.0004127926],"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":[0.000002656941,0.000006731928,1.464668e-7,0.0003203534,0.00009055094,5.184251e-7,0.00009838188,0.8845969,0.1119821,0.00188054,0.000006127746,0.001014995],"study_design_scores_gemma":[0.000109899,0.00003743998,0.000001287641,0.0001327966,0.00006619503,0.000005259189,0.0000182572,0.9123557,0.08613427,0.00005754775,0.0008986942,0.0001826087],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02464157,0.0001382131,0.9737322,0.0001347974,0.0004367519,0.0005686687,0.00005356955,0.0002904922,0.000003725956],"genre_scores_gemma":[0.6430044,0.00002319603,0.3567122,0.00001315381,0.00008616902,0.00006100485,0.000002643355,0.00008096446,0.00001630783],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6183628,"threshold_uncertainty_score":0.7652886,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04039714289512979,"score_gpt":0.2737039808358728,"score_spread":0.233306837940743,"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."}}