Type Synthesis of Three-Degree-of-Freedom Spherical Parallel Manipulators
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Bibliographic record
Abstract
A spherical parallel manipulator (also called an orientational parallel manipulator or rotational parallel manipulator) refers to a threedegreeof-freedom (3-DoF) parallel manipulator in which the moving platform undergoes a 3-DoF spherical motion or rotates about a fixed point. In this paper, we propose a new method for the type synthesis of non-overconstrained (isostatic) spherical parallel manipulators. In a non-overconstrained three-legged spherical parallel manipulator, each leg is composed of five revolute, prismatic and/or helical joints. Using the proposed approach, non-overconstrained three-legged spherical parallel manipulators can be obtained by the combination of a 3-RRR overconstrained spherical parallel manipulator and three four-bar Delassus linkages with at least one revolute joint. In a 3-RRR spherical parallel manipulator, each leg is composed of three revolute joints whose axes pass through the center of spherical motion. A four-bar Delassus linkage is a single-DoF four-bar linkage composed of four revolute, prismatic and/or helical joints. A number of new non-overconstrained spherical parallel manipulators are also identified, including one obtained by the combination of a 3-RRR spherical parallel manipulator and three Bennett linkages.
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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 | 0.001 | 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 | 0.001 | 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