Nonlinear dynamics of simply supported, thin laminated circular cylindrical shells coupled to large-amplitude sloshing fluid
Bibliographic record
Abstract
This study investigates the nonlinear vibrations of thin laminated elastic shells with simply supported boundary conditions , subjected to large-amplitude sloshing fluid, within the framework of the Flügge-Lur’e-Byrne nonlinear shell theory . The fluid is modeled by the potential flow theory using the Laplace equation in the fluid domain, and nonlinear boundary conditions are applied at the free surface. The Lagrange multipliers method is employed to minimize the energy functional, incorporating nonlinear constraints at the fluid boundary. A harmonic excitation is applied at the mid-height of the shell, and the transient vibrations are analyzed. Results indicate that nonlinear sloshing reduces the beating action in the time-domain response but increases the radial shell deformation compared to the linear case. The effects of fluid level and nonlinearity at the fluid surface are also explored through frequency–response analysis, revealing that nonlinear sloshing significantly alters the frequency response curve , particularly for large fluid-filling ratios in flexible shells. However, the effect on the fluid free-surface profile is minimal when compared to linear slosh modeling. In contrast, stiff shells exhibit a pronounced effect of nonlinear sloshing on the fluid free-surface elevations.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.001 | 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 source (direct Gemma or distilled Codex), 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".