Functional redundancy for parallel manipulators (PM) with 3T1R degrees of freedom (DoF) presents an untreated niche regarding a general and systematic kinematic description. For an efficient formulation of the inverse kinematics problem (IKP) an existing approach using intrinsic Z-Y′-X′′ Tait-Bryan angles for the rotational kinematic constraints is transferred from 3T3R PMs to 3T1R PMs. The adaption of the kinematics model for the five-DoF leg chains of symmetric 3T1R PMs is elaborated in detail. The presented application in a Newton-Raphson IK scheme with nullspace projection is validated within a dimensional synthesis of such PMs, already exploiting the redundancy. The framework is able to reproduce existing PMs from literature. Results show the dimensioning of PMs for an exemplary task.


    Access

    Download


    Export, share and cite



    Title :

    Inverse Kinematics for Functional Redundancy of Symmetric 3T1R Parallel Manipulators using Tait-Bryan-Angle Kinematic Constraints


    Contributors:

    Publication date :

    2022-06-18


    Remarks:

    Advances in Robot Kinematics 2022 ; Springer Proceedings in Advanced Robotics;24



    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English



    Classification :

    DDC:    629 / 620