Jacobian-based modeling of dispersions affecting pre-defined functional requirements of mechanical assemblies
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Bibliographic record
Abstract
Presents a method to mathematically model 3-D tolerance chains around a desired functional requirement of a mechanical assembly. The modeling process uses the concept of virtual joints associated with the toleranced functional elements in a tolerance chain. These virtual joints simulate small possible dispersions of the toleranced functional element in terms of three general small translations and three general small rotations assuming to result from manufacturing inaccuracies. Using standard Jacobian-based computations, it becomes possible to model the effects of such small dispersions of each element in a kinematic chain around a point of interest on an assembly, in particular around the desired functional requirement. The main focus in the paper is on the important ability of the developed tolerance model to explicitly include the effects of dispersions on two types of functional element pairs in a chain around a functional requirement, namely internal pairs (pairs on the same part) and kinematic pairs (pairs on different parts in contact).
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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 | 0.000 | 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 it