Vibration Analysis of Curved Pipes Conveying Fluid
Bibliographic record
Abstract
The partial differential equations for curved pipes with fluid structure interaction, including the effects of fluid pressure and Coriolis force, Centrifugal force and migration force caused by flow velocity, etc., were derived. These equations were then solved numerically utilizing the transfer matrix method (TMM) in the frequency domain because of its computational efficiency. The results were compared with those predicted by the finite element method and a discrete model. It is demonstrated that the TMM has high precision in the vibration analysis of fluid-filled curved pipes. Furthermore, the influence laws of geometrical properties on the natural frequencies and frequency responses of pipeline are discussed, which show that the natural frequencies of the fluid do not change with the varying of curvature angle when curved pipe filled with steam. But the resonance frequencies of the out-of-plane vibration and vibration amplitudes of the fluid pressure waves are strongly influenced by the variation of curvature angle.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".