Correcting for the Influence of Bulk Compressibility on the Design Properties of Elastomeric Bearings
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Bibliographic record
Abstract
The compression and bending modulus of elastomeric bearings, commonly applied as vibration isolators, are important design considerations. Analytical solutions have demonstrated that the sensitivity to the compressibility of the elastomer can be significant and begins at relatively low shape factors. These analytical solutions, which include the effects of compressibility on the compression and bending modulus, are often complex and not suitable for design purposes. Alternatively, an ad hoc approximation has been recommended that expresses the compression and bending modulus, including the compressibility of the elastomer, by assuming incompressibility and correcting with the bulk modulus. It is demonstrated that the ad hoc approximation provides an unconservatively large value of the compression and bending modulus for infinite strip, square, circular, and annular pad geometries. A correction factor to the ad hoc approximation is determined by expanding and simplifying the analytical solutions. The proposed approximations typically reduce the magnitude of the error while also providing a conservatively lower estimate of the compression and bending modulus.
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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) | 0.000 | 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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