Hypo-paradoxical Linkages: Linkages That Should Move-But Don't
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914060351569920 |
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| author | Shvalb, Nir Medina, Oded |
| author_facet | Shvalb, Nir Medina, Oded |
| contents | While paradoxical linkages famously violate the Chebyshev-Grubler-Kutzbach criterion by exhibiting unexpected mobility, we identify an opposing phenomenon: a class of linkages that appear mobile according to the same criterion, yet are in fact rigid. We refer to these as hypo-paradoxical linkages, and proceed to analyze and illustrate their behavior. We use the same tools to further explain the unexpected positive mobility of Bennet mechanism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20371 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hypo-paradoxical Linkages: Linkages That Should Move-But Don't Shvalb, Nir Medina, Oded Physics and Society Robotics 70B15 While paradoxical linkages famously violate the Chebyshev-Grubler-Kutzbach criterion by exhibiting unexpected mobility, we identify an opposing phenomenon: a class of linkages that appear mobile according to the same criterion, yet are in fact rigid. We refer to these as hypo-paradoxical linkages, and proceed to analyze and illustrate their behavior. We use the same tools to further explain the unexpected positive mobility of Bennet mechanism. |
| title | Hypo-paradoxical Linkages: Linkages That Should Move-But Don't |
| topic | Physics and Society Robotics 70B15 |
| url | https://arxiv.org/abs/2507.20371 |