Continuum Modeling of Nonperiodic String-Harnessed Structures: Perturbation Theory and Experiments
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Bibliographic record
Abstract
The cables-to-payload mass ratio can be about 20% for aerospace structures. To ensure a successful mission, predicting the vibrations response of cable-harnessed structures is critical. It is commonplace in industry to account for the added mass of these cables and ignore the stiffness effects; however this leads to inaccurate models. The presented paper studies string-harnessed structures as a means for modeling the mass and stiffness effects of aerospace cables; damping is neglected. As periodic wrapping patterns have been modeled using a homogenization theory and experimentally validated, a natural progression of research is the study of nonperiodic wrapping patterns, which is the focus throughout this paper. A spatially dependent equation of motion is derived for the transverse vibrations of a string-harnessed structure. The equation of motion is similar in form to a spatially dependent Euler–Bernoulli beam model. The Lindstedt–Poincaré method is used to determine the frequencies and mode shapes of the system, which are then used to calculate the frequency response function. It is observed that the frequency response functions of the perturbation theory are in good agreement with experimental results.
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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 it