The existence of truncation resonance in TPMS-based periodic acoustic metamaterials
Bibliographic record
Abstract
Truncation resonance represents peaks that manifest within the bandgap frequency range of periodic metamaterials. This phenomenon stands in contrast to the general conclusion regarding the absence of peaks within bandgap frequency ranges. Truncation resonance is attributed to finite periodic metamaterials, whereas bandgaps pertain to infinite periodic metamaterials. The present study examined the occurrence of truncation resonance in one-dimensional periodic metamaterials constructed from repeated primitive unit cells, observed within the acoustic spectrum. The investigation was geometric-based, considering 10 periodic metamaterials with different relative densities and number of repeated unit cells. This investigation employed both bandgap data and modal analysis, wherein natural frequencies, modeshapes, and Acoustic Pressure Responses (APRs) were integral components of the modal analysis. Following an analysis of APRs, the study was further inspired to scrutinize the numerator of the modal-solved APR. Through analyzing the APR numerator, this work demonstrated the coexistence of truncation resonance and bandgaps in periodic metamaterials.
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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 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.001 |
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; both teacher heads agree on what is shown here.
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".