Solving the Forward Position Problem of an In-Parallel Planar Manipulator in the Gauss Plane
We study determining the posture of an in-parallel planar manipulator, which has three connectors composed of revolute, prismatic and revolute joints, from specified active joint variables. We construct an ideal in the field of complex numbers, and we introduce self inversive polynomials. We provide...
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16-11-2015
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| Abstract | We study determining the posture of an in-parallel planar manipulator, which
has three connectors composed of revolute, prismatic and revolute joints, from
specified active joint variables. We construct an ideal in the field of complex
numbers, and we introduce self inversive polynomials. We provide results for an
in-parallel planar manipulator, which has a base and moving platform in right
triangular shape. Using Sage computer algebra system, we compute its Groebner
bases. We illustrate that the single variable polynomials obtained from the
Groebner bases are self reciprocal. |
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| AbstractList | We study determining the posture of an in-parallel planar manipulator, which
has three connectors composed of revolute, prismatic and revolute joints, from
specified active joint variables. We construct an ideal in the field of complex
numbers, and we introduce self inversive polynomials. We provide results for an
in-parallel planar manipulator, which has a base and moving platform in right
triangular shape. Using Sage computer algebra system, we compute its Groebner
bases. We illustrate that the single variable polynomials obtained from the
Groebner bases are self reciprocal. |
| Author | Sahin, Sureyya |
| Author_xml | – sequence: 1 givenname: Sureyya surname: Sahin fullname: Sahin, Sureyya |
| BackLink | https://doi.org/10.48550/arXiv.1511.05060$$DView paper in arXiv |
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| Snippet | We study determining the posture of an in-parallel planar manipulator, which
has three connectors composed of revolute, prismatic and revolute joints, from... |
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| SubjectTerms | Computer Science - Robotics Computer Science - Symbolic Computation |
| Title | Solving the Forward Position Problem of an In-Parallel Planar Manipulator in the Gauss Plane |
| URI | https://arxiv.org/abs/1511.05060 |
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