Chaotic Flexural Oscillations of Embedded Non-Local Nanotubes Subjected to Axial Harmonic Force
Bibliographic record
Abstract
Chaotic behavior of an embedded carbon nanotube subjected to an external excitation and the combinational static-dynamic axial loads is investigated. Mathematical formulation has been developed based on the non-local theory in order to reflect the small-scale effects. The tube is supported by the Kelvin-Voigt viscoelastic foundation and the Galerkin method is utilized to solve the governing nonlinear differential equations. The vibration behavior of the system for the parameters of a real model is studied and different vibration responses of the nanotube such as the periodic, quasi-periodic and the chaotic behaviors are detected. The bifurcation diagrams for several critical parameters, including the amplitude of external excitation and the axial applied load are presented. The time history diagram, phase-plane trajectories, and the Poincaré map are presented as the three appropriate techniques for diagnosing the system behavior under various conditions.
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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 | 0.000 |
| 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 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".