On Strain-Rate Dependence of Kinetic Energy in Homogenization Approach: Theory and Experiment
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Bibliographic record
Abstract
The presented work pertains to a homogenization-modeling technique developed for structures of repeated pattern to predict their dynamic behavior. Strain and kinetic-energy expressions for the fundamental element are found along with necessary assumptions that are made to reduce the order of the model. Subsequently, the partial differential equations for the equivalent one-dimensional model are derived. The methodis applied to a planar truss structure,andthenatural-frequencyresultsarevalidatedagainsttheexperimentalvaluesaswellasthe finiteelement results.The advantageof the presentworkover thepreviously established homogenizationmethods thatemploy the energy-equivalence technique is that the effects of strain components are included in the kinetic energy of the fundamental elements, which results in improved accuracy in the frequency estimations.
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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)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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