A new 3D finite element for sandwich structures with a viscoelastic core
Bibliographic record
Abstract
Nowadays, noise and vibrations control is a major concern in several industry fields such as aeronautics and automobile.The reduction o f noise and vibrations is a major requirement for performance, sound quality and customer satisfaction.Passive damping technology using viscoelastic materials is classically used to control the vibration.The steel industry proposes damped sandwich panels with thin layer o f viscoelastic core (Metal/Polymer/Metal).This type o f structures has appeared recently as a viable alternative to classical add-on or spray-on treatments.It has been shown that this class o f materials enables manufacturers to cut weight and cost while providing noise, vibration and harshness performance.This motivated the development of prediction methods for their vibration and acoustic indicators.Initially, analytical techniques were developed to predict the performance o f damped sandwich panels with classical boundary conditions.The fundamental work in this field was pioneered by Ross, Kerwin and Ungar (RKU) [1] who used a three-layer model to predict damping in plates with constrained layer damping treatments.Kerwin [2] was the first to present a theoretical approach o f damped thin structures with constrained viscoelastic layer.He presented the first analysis o f the simply supported sandwich beam using a complex modulus to represent the viscoelastic core.Several authors (DiTaranto [3], Mead and Markus [4]) extended Kerwin's work using his same basic assumptions.Six-order equations o f motion were developed in term of axial displacements by DiTaranto [3] for the unsymmetrical three-layer beam, and this was subsequently refined [4].However, these analytical solutions are only appropriate for simple structures such as beams or plates with simple boundary conditions.In practice it is often necessary to design damped structures with complicated geometry, complex loadings and non-uniform features such as material discontinuities.Consequently, it is natural to consider the finite element method (FEM) to represent correctly the physics o f such complicated problem.However existing finite elements methods necessitate the use o f plate-solidplate models which are computationally expensive.
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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 | 0.000 |
| 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".