Abstract
This paper presents a methodology to find the largest sphere inside the constant orientation wrench-closure workspace of spatial cable-driven parallel robots driven by seven cables. The sphere is centred at a prescribed point of interest and is obtained for a given orientation of the moving platform. The method builds upon the analytical description of the boundary of the constant orientation wrench-closure workspace to obtain the desired spheres. The problem has been reduced to solving seven systems, each consisting of three cubic polynomial equations in three unknowns. A computer algebra system (CAS) has been used to solve these systems of equations, using a formulation based on Sylvester’s dialytic elimination and generalised eigenproblem, which has been illustrated through an example.
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Shahi, A., Bandyopadhyay, S. (2019). Identifying the largest sphere inscribed in the constant orientation wrench-closure workspace of a spatial parallel manipulator driven by seven cables. In: Pott, A., Bruckmann, T. (eds) Cable-Driven Parallel Robots. CableCon 2019. Mechanisms and Machine Science, vol 74. Springer, Cham. https://doi.org/10.1007/978-3-030-20751-9_14
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DOI: https://doi.org/10.1007/978-3-030-20751-9_14
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