Chaos Properties of a Rotor System With Nonlinear Hydro-Static Bearings
Bibliographic record
Abstract
General motions of discs and shafts of large rotary machines appear with highly nonlinear behavior. The geometries of the shafts and the supporting systems of this machine can all be treated as nonlinear. This paper aims to investigate the chaos properties of the nonlinear rotating system. The nonlinear dynamic governing equations of the rotating bearing system are derived. The geometric nonlinearity of the shaft, nonlinear hydrostatic forces of the bearings, mass of the shaft and disc, deformation of the shaft and a disc mounted on the shaft, and the viscoelasticity of the supports are all taken into account. Numerical simulations are performed in the research for studying the bifurcation and chaos properties of the specified nonlinear rotating system. The effects of the shaft’s rotating speed and the mass eccentricity of the disc on the nonlinear dynamic properties of the system are investigated in detail. The results show that abundant of bifurcations and chaos exist in this nonlinear rotating system Corresponding to certain parameter values. The bifurcations and chaotic phenomena should be avoided when designing the rotating system by adjusting the design parameters. The results of this research can hereby be used for guiding the design and operation of rotor-bearing systems.
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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 | 0.000 | 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 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".