Choice of Shaping Linkage-Methods on Pascal Limacon Gears
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Bibliographic record
Abstract
Background: Various relevant papers and patents which have reported non-circular gears are widely used in many types of mechanical instruments. The Pascal limacon gear is one new type of noncircular gear. Many researchers have only focused on the design of Pascal limacon gears and their applications. Little attention has been paid to the machining aspects. Shaping is a better method for fabricating non-circular gears. The Equal Rotary-Angle of Workpiece Method (ERAWM), the Equal Arc- Length of Workpiece Method (EALWM), and the Equal Polar-Angle of Workpiece Method (EPAWM) are the three linkage-methods for shaping Pascal limacon gears. However, which linkage-method should be chosen in practical has not been studied. Objective: In order to choose the excellent linkage-methods for shaping Pascal limacon gears, the three linkage-methods were compared from three aspects: density of shaping cutter trace, uniformity of arc length of program blocks and control of motion axes of machine tools. Methods: Firstly, the shaping models of Pascal limacon gears was deduced. Secondly, based on the mathematical model, shaping linkage-methods of Pascal limacon gears were obtained. Thirdly, under different shaping linkage-methods, developing regularity of shaping cutter trace, arc length of program blocks and motion axes of machine tools, were compared. Results: Finally, the excellent shaping linkage-method EALWM is obtained with the characteristics of a high density of shaping cutter trace, high uniformity of arc length of program blocks and ease of control. Conclusion: It has been proven that EALWM is the best linkage-method to shape Pascal limacon gears. Keywords: Arc length of program blocks, linkage-methods, motion axes of machine tool, non-circular gears, Pascal limacon gears, shaping, shaping cutter trace.
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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)
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.
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