Unilateral transmission in bilinearly coupled systems
Bibliographic record
Abstract
This work investigates the steady-state vibration transmission characteristics of phononic lattices featuring bilinear coupling forces. We focus specifically on the phenomenon of unilateral transmission, which occurs when the transmitted vibrations maintain either complete compression or tension; i.e., the transmitted displacement does not change signs and remains either positive or negative. We consider bilinearly coupled oscillators as the unit cell for a bilinear phononic lattice. We conduct a parametric study for the unit cell and determine the boundary for the onset of unilateral transmission. We then extend the analysis to a bilinear phononic lattice. In both cases, we compute the steady-state response and linear stability of the system, considering bilinear forces with both amplitude-dependent and amplitude-independent properties. We identify regimes of nonreciprocal unilateral transmission when the mirror symmetry of the unit cell is broken. Our findings contribute to a better understanding of unilateral transmission in systems with bilinear elasticity.
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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 | 0.001 | 0.002 |
| 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 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.002 | 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".