Structural and Dimensional Synthesis of Overconstraint Symmetric 3T2R Parallel Robots Using Tait-Bryan-Angle Kinematic Constraints

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Titel des SammelwerksAdvances in Robot Kinematics 2022
Herausgeber/-innenOscar Altuzarra, Andrés Kecskeméthy
Seiten188-197
Seitenumfang10
ISBN (elektronisch)978-3-031-08140-8
PublikationsstatusVeröffentlicht - 18 Juni 2022

Publikationsreihe

NameSpringer Proceedings in Advanced Robotics
Band24 SPAR
ISSN (Print)2511-1256
ISSN (elektronisch)2511-1264

Abstract

The basic parallel robotics principle of defining kinematic constraints as vector loops is transferred from the general 3T3R case to the 3T2R case by applying a nonlinear Tait-Bryan-angle rotation constraint using the intrinsic Z- Y - X ′ ′ convention. This presents an alternative way to the deduction of differential inverse kinematics by the theory of linear transformations. The resulting formulation is used in a permutational combined structural and dimensional synthesis. The modular approach allows to combine databases of serial and parallel robots without manual intervention. The validation shows the reproducibility of existing kinematic structures using the new kinematic formulation. The optimization scheme allows to obtain suitably dimensioned symmetric 3T2R parallel robots for a given task.

ASJC Scopus Sachgebiete

Zitieren

Structural and Dimensional Synthesis of Overconstraint Symmetric 3T2R Parallel Robots Using Tait-Bryan-Angle Kinematic Constraints. / Schappler, Moritz.
Advances in Robot Kinematics 2022. Hrsg. / Oscar Altuzarra; Andrés Kecskeméthy. 2022. S. 188-197 (Springer Proceedings in Advanced Robotics; Band 24 SPAR).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Schappler, M 2022, Structural and Dimensional Synthesis of Overconstraint Symmetric 3T2R Parallel Robots Using Tait-Bryan-Angle Kinematic Constraints. in O Altuzarra & A Kecskeméthy (Hrsg.), Advances in Robot Kinematics 2022. Springer Proceedings in Advanced Robotics, Bd. 24 SPAR, S. 188-197. https://doi.org/10.15488/12463, https://doi.org/10.1007/978-3-031-08140-8_21
Schappler, M. (2022). Structural and Dimensional Synthesis of Overconstraint Symmetric 3T2R Parallel Robots Using Tait-Bryan-Angle Kinematic Constraints. In O. Altuzarra, & A. Kecskeméthy (Hrsg.), Advances in Robot Kinematics 2022 (S. 188-197). (Springer Proceedings in Advanced Robotics; Band 24 SPAR). https://doi.org/10.15488/12463, https://doi.org/10.1007/978-3-031-08140-8_21
Schappler M. Structural and Dimensional Synthesis of Overconstraint Symmetric 3T2R Parallel Robots Using Tait-Bryan-Angle Kinematic Constraints. in Altuzarra O, Kecskeméthy A, Hrsg., Advances in Robot Kinematics 2022. 2022. S. 188-197. (Springer Proceedings in Advanced Robotics). doi: 10.15488/12463, 10.1007/978-3-031-08140-8_21
Schappler, Moritz. / Structural and Dimensional Synthesis of Overconstraint Symmetric 3T2R Parallel Robots Using Tait-Bryan-Angle Kinematic Constraints. Advances in Robot Kinematics 2022. Hrsg. / Oscar Altuzarra ; Andrés Kecskeméthy. 2022. S. 188-197 (Springer Proceedings in Advanced Robotics).
Download
@inproceedings{cbf84bf3366e41c39b38f57b8aa43823,
title = "Structural and Dimensional Synthesis of Overconstraint Symmetric 3T2R Parallel Robots Using Tait-Bryan-Angle Kinematic Constraints",
abstract = "The basic parallel robotics principle of defining kinematic constraints as vector loops is transferred from the general 3T3R case to the 3T2R case by applying a nonlinear Tait-Bryan-angle rotation constraint using the intrinsic Z- Y ′ - X ′ ′ convention. This presents an alternative way to the deduction of differential inverse kinematics by the theory of linear transformations. The resulting formulation is used in a permutational combined structural and dimensional synthesis. The modular approach allows to combine databases of serial and parallel robots without manual intervention. The validation shows the reproducibility of existing kinematic structures using the new kinematic formulation. The optimization scheme allows to obtain suitably dimensioned symmetric 3T2R parallel robots for a given task. ",
keywords = "3T2R, Dimensional synthesis, Euler angles, Kinematic constraints, Overconstraint, Parallel manipulator, Parallel robot, Tait-Bryan angles",
author = "Moritz Schappler",
note = "Funding Information: The author acknowledges the support by the Deutsche Forschungsgemeinschaft (DFG) under grant number 341489206. Matlab code to reproduce the results is available at GitHub under free license at github.com/SchapplM/ robotics-paper ark2022 3T2R.",
year = "2022",
month = jun,
day = "18",
doi = "10.15488/12463",
language = "English",
isbn = "9783031081392",
series = "Springer Proceedings in Advanced Robotics",
pages = "188--197",
editor = "Oscar Altuzarra and Andr{\'e}s Kecskem{\'e}thy",
booktitle = "Advances in Robot Kinematics 2022",

}

Download

TY - GEN

T1 - Structural and Dimensional Synthesis of Overconstraint Symmetric 3T2R Parallel Robots Using Tait-Bryan-Angle Kinematic Constraints

AU - Schappler, Moritz

N1 - Funding Information: The author acknowledges the support by the Deutsche Forschungsgemeinschaft (DFG) under grant number 341489206. Matlab code to reproduce the results is available at GitHub under free license at github.com/SchapplM/ robotics-paper ark2022 3T2R.

PY - 2022/6/18

Y1 - 2022/6/18

N2 - The basic parallel robotics principle of defining kinematic constraints as vector loops is transferred from the general 3T3R case to the 3T2R case by applying a nonlinear Tait-Bryan-angle rotation constraint using the intrinsic Z- Y ′ - X ′ ′ convention. This presents an alternative way to the deduction of differential inverse kinematics by the theory of linear transformations. The resulting formulation is used in a permutational combined structural and dimensional synthesis. The modular approach allows to combine databases of serial and parallel robots without manual intervention. The validation shows the reproducibility of existing kinematic structures using the new kinematic formulation. The optimization scheme allows to obtain suitably dimensioned symmetric 3T2R parallel robots for a given task.

AB - The basic parallel robotics principle of defining kinematic constraints as vector loops is transferred from the general 3T3R case to the 3T2R case by applying a nonlinear Tait-Bryan-angle rotation constraint using the intrinsic Z- Y ′ - X ′ ′ convention. This presents an alternative way to the deduction of differential inverse kinematics by the theory of linear transformations. The resulting formulation is used in a permutational combined structural and dimensional synthesis. The modular approach allows to combine databases of serial and parallel robots without manual intervention. The validation shows the reproducibility of existing kinematic structures using the new kinematic formulation. The optimization scheme allows to obtain suitably dimensioned symmetric 3T2R parallel robots for a given task.

KW - 3T2R

KW - Dimensional synthesis

KW - Euler angles

KW - Kinematic constraints

KW - Overconstraint

KW - Parallel manipulator

KW - Parallel robot

KW - Tait-Bryan angles

UR - http://www.scopus.com/inward/record.url?scp=85133246750&partnerID=8YFLogxK

U2 - 10.15488/12463

DO - 10.15488/12463

M3 - Conference contribution

SN - 9783031081392

T3 - Springer Proceedings in Advanced Robotics

SP - 188

EP - 197

BT - Advances in Robot Kinematics 2022

A2 - Altuzarra, Oscar

A2 - Kecskeméthy, Andrés

ER -

Von denselben Autoren