Nonlinear vibration of a single-walled carbon nanotube embedded in a polymer matrix aroused by interfacial van der Waals forces
Bibliographic record
Abstract
This paper studies the nonlinear vibration of a single-walled carbon nanotube (CNT) embedded in a polymer matrix aroused by van der Waals (vdW) forces using elastic beam models. The interfacial vdW forces are described by a nonlinear function in terms of the deflection of the CNT. According to different beam end conditions, the relation between deflection amplitudes and resonant frequencies of free vibrations of the CNT is derived through harmonic balance method. This relation is found to be sensitive to end conditions, diameters, and lengths of the embedded CNT. The axial load effect upon the vibrational behavior of the CNT and postbuckling of the embedded CNT are also discussed. Due to the influence of the surrounding polymer, the prediction on the critical buckling loads and resonant frequencies for embedded CNTs is quite different from that for free-standing CNTs. In addition, the applicability and accuracy of both Euler–Bernoulli and Timoshenko beam models are investigated. It is found that the Euler–Bernoulli beam model may provide comparable results as the Timoshenko beam model even for CNTs with smaller length-to-diameter ratios due to the constraint from the surrounding medium.
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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) | 0.001 | 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".