Vibration Analysis of Machine Tool Spindle Systems: A Calibrated Finite Element Model
Bibliographic record
Abstract
The effects of spindles vibrational behavior on the stability lobes and the chatter behavior of machine tools have been established, and the service life has been observed to reduce the system natural frequencies. In this paper, a ‘calibrated’ FEM model of the spindle system, where the bearings are modeled as linear spring elements, is introduced. The numerical models of a sample spindle system are developed in ANSYS® software using BEAM188 and SOLID187 elements. COMBIN14 elements are used to model the bearings; by varying the spring constant value of these elements the spindle’s fundamental frequency is tuned to match the nominal value, also verified experimentally. The beam element-based model is observed to converge faster than the one based on solid elements. The uncalibrated frequencies resulting from latter model are also found to be lower than those obtained from the former one, which could be associated with the shear/rotary inertia effects present in the SOLID187 element.
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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 | 0.001 | 0.000 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.003 | 0.001 |
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".