On the pseudo-incident wave technique for interacting inhomogeneities in electromechanical problems
Bibliographic record
Abstract
The current paper presents the Pseudo-Incident Wave method for the theoretical treatment of the dynamic interaction between general inhomogeneities in advanced piezoelectric structures. Instead of simulating the response of such complicated systems using purely numerical or analytical methods, the current technique will take the advantages of the accuracy and reliability of analytical solutions and the flexibility of numerical methods. Using this method the original interaction problem is reduced to the solution of coupled single inhomogeneity problems, for which analytical solutions or simpler numerical solutions could be derived. By considering the consistency condition between different inhomogeneities, the steady state dynamic solution of multiple interaction problems can be formulated in terms of coupled single inhomogeneity solutions. The current method is very general and can provide reliable simulation of complicated interaction problems. Numerical examples are presented to illustrate the effectiveness of the Pseudo-Incident Wave method in simulating dynamic interaction between general inhomegeneities under complicated geometries.
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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".