Bending Stress In Worm Gear Shafts Considering The Notch Effect And The Load Distribution
Bibliographic record
Abstract
Worm gear units are helical gear units with an axis cross angle of 90. The load distribution on several tooth flanks enables the transmission of high torques. The worm shaft is made of case-hardened steel and the worm wheel of a bronze alloy to avoid scuffing in the tooth contact due to high temperatures in the contact area. Since the wheel is made of a softer material, the gear units usually fail due to damage of the wheel. Common causes of damage are wear, pitting or fracture of a wheel tooth or the entire rim. According to the state of the art, the worm shaft is mostly designed against deflection. In the further literature, cases of tooth breakage of worm shafts are also documented. By modifying the gear geometry or using higher strength materials for the worm wheel, the worm shafts may fail due to force or fatigue fracture under high loads. The accuracy of the gear assembly also has a significant impact on the load distribution of gear units. Deviations in the nominal positions of the components may cause load increases and accelerate the failure of the gear unit. To estimate the influence of the assembly deviations on the bending stress in the worm shaft, this paper presents an analytical calculation approach for determining the bending stress by considering the notch effect, the notch position and the load pattern and distribution. Finally, the bending stresses caused by various load patterns caused by assembly deviations are calculated and the effect is evaluated.
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How this classification was reachedexpand
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 | 0.000 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, 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".