Vibration Analysis of String-Harnessed Beam Structures: A Homogenization Approach
Why this work is in the frame
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Bibliographic record
Abstract
The complexity of modeling space structures is increased when structural elements are harnessed with signal and power cables. In this paper, consideration is given to the dynamic effects of strings and cables that surround such structural elements. Two periodic patterns for strings are considered in this study. An analytical approach is taken to derive an equivalent, homogenized, continuum model and to find the partial differential equation that governs the bending displacements of the string-beam system. The kinetic and the strain energy terms are expanded in terms of displacement components of the center of a repeated element. Hamilton’s principle is then applied to obtain the partial differential equation. Numerical results for the natural frequencies are presented to study the effects of the strings on the dynamics of the beam structure. Lastly, a linear least squares method is used to derive an approximate expression for the natural frequencies of the string-beam systems in terms of certain system parameters.
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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) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.002 | 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