Contact of Planar Flexible Multibody Systems Using a Linear Complementarity Formulation
Bibliographic record
Abstract
Abstract Descriptions leading to Linear Complementarity Problems (LCPs) are well established in the contact modeling of rigid multibody systems and have a very strong mathematical basis. These approaches yield exact solutions for contact problems consisting of contact (force/acceleration level) and impact (impulse/velocity level). By utilizing these methods, also frictional contact can be handled appropriately, see [1] and [2]. In this paper a formulation for extending these methods for consideration of planar deformable bodies is given. In the case of deformable bodies, a finite wave propagation speed is inherent and, thus, impact computations on impulse/velocity level which lead to jumps in velocity are no longer required. In this paper only the case of continual contact is taken into account. For this purpose, the complementarity relations are reformulated in such a way that contact modeling of constrained and non‐constrained planar deformable bodies is possible, too. In this formulation, deformable bodies are modeled based on the moving frame of reference approach with modal coordinates which is frequently used for the simulation of deformable multibody systems [3]. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 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 source (direct Gemma or distilled Codex), 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".