Reducible compositions of spherical four-bar linkages with a spherical coupler component
✍ Scribed by Georg Nawratil
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 397 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0094-114X
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✦ Synopsis
We use the output angle of a spherical four-bar linkage C as the input angle of a second four-bar linkage D where the two frame links are assumed in aligned position as well as the follower of C and the input link of D. We determine all cases where the relation between the input angle of the input link of C and the output angle of the follower of D is reducible and where additionally at least one of these components produces a transmission which equals that of a single spherical coupler. The problem under consideration is of importance for the classification of flexible 3 × 3 complexes and for the determination of all flexible octahedra in the projective extension of the Euclidean 3-space.