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Nonlinear dynamics of simply supported, thin laminated circular cylindrical shells coupled to large-amplitude sloshing fluid

2025· article· en· W4408981426 on OpenAlex

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affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueComposite Structures · 2025
Typearticle
Languageen
FieldEngineering
TopicFluid Dynamics Simulations and Interactions
Canadian institutionsMcGill University
FundersWestlake University
KeywordsSlosh dynamicsNonlinear systemAmplitudeMechanicsDynamics (music)Classical mechanicsHydroelasticityPhysicsStructural engineeringMaterials scienceEngineeringVibrationAcousticsOptics

Abstract

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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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Full frame distilled prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: Simulation or modeling
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.234
Threshold uncertainty score0.998

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

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.

Opus teacher head0.005
GPT teacher head0.251
Teacher spread0.246 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it