{"id":"W4394858293","doi":"10.1016/j.tws.2024.111894","title":"Finite element analysis for free vibration of pipes conveying fluids–physical significance of complex mode shapes","year":2024,"lang":"en","type":"article","venue":"Thin-Walled Structures","topic":"Vibration and Dynamic Analysis","field":"Engineering","cited_by":22,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta; Alberta Energy; University of Ottawa","funders":"Mitacs; TransCanada PipeLines Limited","keywords":"Eigenvalues and eigenvectors; Finite element method; Vibration; Tracing; Normal mode; Quadratic equation; Mode (computer interface); Mathematical analysis; Hermitian matrix; Mathematics; Physics; Geometry; Computer science; Acoustics; Structural engineering; Engineering; Pure mathematics","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":[0.00009871311,0.0001735587,0.000458709,0.0002902909,0.00004751241,0.00004347603,0.0002102128,0.00006046768,0.0002289923],"category_scores_gemma":[0.00004705842,0.0001526571,0.0003201324,0.0005152858,0.00005250141,0.0001238621,0.00002795545,0.00008926988,0.000001271633],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003263891,"about_ca_system_score_gemma":0.00002567489,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005320208,"about_ca_topic_score_gemma":0.0001320236,"domain_scores_codex":[0.9989228,0.00003192036,0.0004321019,0.0002101245,0.0002501385,0.0001528703],"domain_scores_gemma":[0.9993345,0.000239735,0.0000710341,0.0002328176,0.00007933612,0.00004256542],"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":[0.00002192063,0.000009860187,0.00006356167,0.0002809251,0.001306405,4.558827e-7,0.001818547,0.9226239,0.05659705,0.01630984,0.0003108429,0.0006566657],"study_design_scores_gemma":[0.0002209913,0.00003090042,0.001103287,0.0000144626,0.0006094914,1.442122e-7,0.0002091806,0.9712676,0.01232549,0.01398264,0.0000931664,0.0001425999],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08070686,0.0002393165,0.9177537,0.00009373613,0.00007221582,0.0002227004,0.0003335805,0.0001647012,0.000413165],"genre_scores_gemma":[0.9906061,0.00002319381,0.008966908,0.00002843636,0.00007572089,0.00002402659,0.000206788,0.00002187263,0.00004699125],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9098992,"threshold_uncertainty_score":0.6225175,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01663061740551188,"score_gpt":0.2623180936498299,"score_spread":0.2456874762443181,"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."}}