Critical Velocity of Potential Flow in Interaction With a System of Plates
Bibliographic record
Abstract
The elastic structures subjected to flowing flow can undergo the excessive vibrations and consequently a considerable change in their dynamic behavior, and they may lose their stability. A fluid-solid finite element model is developed to model a set of plates subjected to flowing fluid under various boundary conditions, fluid level, and fluid velocity that strongly influence the dynamic behavior of the plates. A hybrid method, which combines the finite element approach with the classical theory of plates, is used to derive the dynamic equations of the coupled fluid-structure system. The membrane and the transversal displacement fields are modeled, respectively, using the bilinear polynomials and the exponential function. The structural mass and rigidity matrices are derived by exact integration of developed displacement field. The fluid pressure is expressed by inertial, Coriolis and centrifugal fluid forces written, respectively, as a function of acceleration, velocity and transversal displacement. The fluid dynamic pressure is determined using the potential flow equation. Integrating this dynamic pressure in conjunction with the structural element results in the flow-induced mass, damping, and stiffness matrices, hence, one can establish the dynamic equations of coupled fluid-structure system. The impermeability condition that ensures the permanent contact between the shell and the fluid is applied at the contact surface. A parametric study has been performed to investigate the effect of physical and geometrical parameters (e.g. boundary conditions, fluid level, and flow velocity) on the dynamic response of the coupled system. The results are in satisfactorily agreement with those of experiments and other theories.
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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) | 0.001 | 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) | 0.000 | 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".