Dynamic Analysis of Fluid-Filled Ring-Stiffened Conical Shells
Bibliographic record
Abstract
This paper presents a mathematical model developed for the dynamic analysis of ring-stiffened conical shell subject to a flowing fluid.The proposed approach combines classical shell theory and the finite element method, making use of displacement functions derived from exact solutions of Sanders' shell equations.Mass and stiffness matrices are determined by precise analytical integration of the equations of motion.The analysis of the shell-fluid interface involves leveraging the velocity potential, Bernoulli's equation, and impermeability conditions to determine an explicit expression for fluid dynamic pressure.Three distinct force vectors induced by the fluid (called the inertial, centrifugal, and Coriolis forces) can be determined through analytical integration of fluid dynamic pressure over structural shape functions.The influence of physical and geometrical parameters on the fluid-structure system has been considered in the numerical solutions.This study explores the influence of geometric parameters, stiffener quantity, cone angle, and applied boundary conditions on the natural frequency and instability characteristics of fluid-loaded ring-stiffened conical shells.When these results are compared with corresponding ones available in the open literature, both theoretical and experimental, very good agreement is obtained.
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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 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 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".