Latest Advances in Robot Kinematics 2012
DOI: 10.1007/978-94-007-4620-6_22
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Kinematic Synthesis of Multi-Fingered Robotic Hands for Finite and Infinitesimal Tasks

Abstract: In this paper we present a novel method of designing multi-fingered robotic hands using tasks composed of both finite and infinitesimal motion. The method is based on representing the robotic hands as a kinematic chain with a tree topology. We represent finite motion using Clifford algebra and infinitesimal motion using Lie algebra to perform finite dimensional kinematic synthesis of the multifingered mechanism. This allows tasks to be defined not only by displacements, but also by the velocity and acceleratio… Show more

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Cited by 14 publications
(10 citation statements)
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“…In addition to the design equations, different equations can be included, for example relationships between joint axes would be considered as additional constraints c. Furthermore, the design equations can be modified to handle velocities and accelerations as done in [45].…”
Section: Design Equationsmentioning
confidence: 99%
See 1 more Smart Citation
“…In addition to the design equations, different equations can be included, for example relationships between joint axes would be considered as additional constraints c. Furthermore, the design equations can be modified to handle velocities and accelerations as done in [45].…”
Section: Design Equationsmentioning
confidence: 99%
“…(44) to construct the edges leading to the end-effectors and Eqn. (45). There are in general 2 b − 2 possible proper subgraphs given a root node.…”
Section: −41 11mentioning
confidence: 99%
“…The third approach becomes unwieldy when dealing with complex geometries. It has been applied for singlefinger design (Dai and Wang, 2007), and also for structures that take into account several fingers (Simo-Serra et al, 2012). However, it implies the resolution of very complex systems of equations and solutions are optimal only for very specific tasks that specify a discrete number of configurations and velocities in the workspace.…”
Section: Dimensional Synthesis Approachmentioning
confidence: 99%
“…The dimensional synthesis of the tree topologies has been explored in Simo-Serra et al (2011), Simo-Serra et al (2012 and more extensively in Simo-Serra and PerezGracia (2014). The synthesis of tree topologies, when applied to wristed multifingered hands, allows creating robotic hands for in-palm manipulation tasks, for instance, or complete arm-plus-hand designs.…”
Section: Introductionmentioning
confidence: 99%