Bibliographic record
Abstract
This paper presents a new mathematical approach for the analysis of a harmonically vibrating, linear, elastic, tapered pile. The soil consists of a number of horizontal elastic strata that are homogeneous, isotropic, and linearly viscoelastic. The governing differential equation for an arbitrary pile segment is obtained and solved. The solution starts from the pile toe and ends up with the pile head. It will be shown that when the taper angle is increased, the resonant amplitudes of piles decrease. It will also be demonstrated that the resonance amplitudes and resonant frequencies of the floating tapered pile and a uniform pile of the same volume and length vary slightly. However, the resonant amplitude of an end-bearing tapered pile is significantly less than that of the equivalent uniform pile. It will generally be concluded that the use of tapered piles subjected to axial harmonic vibrations is superior to the use of cylindrical piles of the same length and volume. This is very attractive for dynamically loaded piles, encouraging the practical use of tapered piles.
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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 | 0.000 | 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) | 0.001 | 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".