Structural damping estimation using a simple equation based on the equivalent viscous damping concept
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Bibliographic record
Abstract
Earlier research papers by the authors have presented a simple equation, derived using the equivalent viscous damping concept, to characterize the amplitude-dependency of modal damping. While initially intended for damping estimation on account of stick-slip surfaces acting on main structural systems of buildings within the linear range, the current paper discusses how this same equation can be used to describe damping in general given the force-displacement relationship of the element or structure of interest. This is done by modifying and extending the original derived equation to allow the calculation of amplitude-dependent damping given the force-deformation characteristic of the particular element or structure. The paper then presents amplitude-dependent damping estimates for a structure with a given modal pushover (i.e. force-displacement) curve generated by static nonlinear analysis as an example application of this simple formula. The effect of the resolution of the force-displacement curve on the damping estimate is discussed by contrasting the initial estimate against simplified force-displacement curves. Limitations and applications of this procedure in wind and seismic design are briefly discussed.
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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