Dynamics of Mechanical Systems and the Generalized Free-Body Diagram—Part II: Imposition of Constraints
Bibliographic record
Abstract
In this part of the work we present some applications of the formulation developed in Part I (Kövecses, 2008, “Dynamics of Mechanical Systems and the Generalized Free-Body Diagram—Part I: General Formulation,” ASME J. Appl. Mech., 75(6), p. 061012) for the generalized free-body diagram in configuration space. This involves the specification and imposition of constraint conditions, which were identified as Step 2 of the analysis of a mechanical system in Part I. We will particularly consider bilaterally and unilaterally constrained systems, where constraints are realized via ideal or nonideal interfaces. We also look at the general case where the constraint configuration is possibly redundant. The results represent novel forms of dynamics models for mechanical systems, and can offer the possibility to gain more insight for simulation, design, and control.
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How this classification was reachedexpand
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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, 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".