Free vibration of biopolymer spherical shells of high structural heterogeneity
Bibliographic record
Abstract
A refined elastic shell model is used to study the effect of high structural heterogeneity on natural frequencies and vibration modes of biopolymer spherical shells. With this model, the structural heterogeneity of a biopolymer spherical shell is characterized by an effective bending thickness (which can be quite different from the average thickness) and the transverse shear modulus (which can be much lower than the in-plane shear modulus). Our results show that actual natural frequencies of axisymmetric spheroidal modes of a biopolymer spherical shell can be much lower than those predicted by the classical homogeneous shell model based on the average thickness, although natural frequencies of axisymmetric torsional modes are close to those predicted by the classical model. For example, with physically realistic parameters for virus capsid STMV, the natural frequencies of spheroidal modes predicted by the present model are about 30-50% lower than those predicted by the classical model, in better agreement with known simulation results. In addition, in the low frequency range of several viral capsids, the number of independent non-axisymmetric vibration modes predicted by the present model is considerably larger than that predicted by the classical homogeneous shell model, in qualitative agreement with known atomistic simulations. These results suggest that the refined shell model could offer a relatively simple model to simulate mechanical behavior of biopolymer spherical shells of high structural heterogeneity.
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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) | 0.004 | 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".