Dynamic modeling of multi-flexible-link planar manipulators using curvature–based finite element method
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Bibliographic record
Abstract
In conventional displacement-based finite element formulation, the nodal transverse deflections and slopes of a beam element are used to approximate its transverse deflection distribution. In this paper, a curvature-based finite element formulation is presented for dynamic modeling of planar multi-link flexible manipulators. This formulation approximates the curvature distribution of the Euler-Bernoulli beam element by using its nodal curvatures. Therefore, in the curvature-based finite element formulation, fewer numbers of total elastic degrees of freedom for the system are needed. In addition, while the displacement-based finite element formulation yields discontinuous bending stresses at the inter-element nodes, this modeling provides continuous bending stress at those nodes. The proposed modeling will be verified and the dynamic behavior of the flexible planar manipulators will be studied.
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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)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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