Evaluating the dynamic behavior of a two-dimensional metamaterial: An analytical and numerical approach
Bibliographic record
Abstract
Auxetic metamaterial systems have garnered significant attention for their unique properties and potential applications. This study aims to address a fundamental question concerning the suitability of the spring model in accurately describing the behavior of a disk bar metamaterial system. A comprehensive analytical derivation for spring-mass and finite-element formulation for disk-bar model has been carried out. The efficacy of the spring-mass model to capture the effective properties, dispersion relations, and band gap is compared with numerical simulation results of the disk-bar metamaterial. Varying the local structural parameter allows for the independent attainment of negative mass and negative modulus, and their unique frequency ranges can be adjusted to the desired range. Current findings shed light on the effectiveness of the spring model as a predictive tool for such complex systems and provide valuable insights into the behavior of metamaterial structures. Ultimately, this research contributes to a designing and engineering metamaterial structures with tailored negative characteristics, promising new avenues for application in diverse fields.
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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 | 0.001 | 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".