Obtención de un Modelo Dinámico para un Robot 3RRR Basado en Teoría de Screws

  1. Serrano, Fernando E.
  2. Rodriguez, Benigno A.
  3. Cardona, Manuel
Revista:
Revista iberoamericana de automática e informática industrial ( RIAI )

ISSN: 1697-7920

Ano de publicación: 2018

Volume: 15

Número: 4

Páxinas: 384-390

Tipo: Artigo

DOI: 10.4995/RIAI.2018.8725 DIALNET GOOGLE SCHOLAR lock_openAcceso aberto editor

Outras publicacións en: Revista iberoamericana de automática e informática industrial ( RIAI )

Resumo

In this article a technique to obtain a dynamic model of a 3RRR robot from its kinematic model based on screw theory is proposed, which allows to obtain the open or closed robot kinematics. First the kinematic model is obtained in a compact form and then the dynamic model is obtained from the Euler Lagrange method, with this the simplicity and compactness characteristics are transferred to the dynamic model. The dynamic model is obtained initially for the actuated joints and then for the effector coordinates through its interrelations. To prove the effectiveness of this theoretical derivation the obtained model is tested with a proportional-derivative controller (PD) because it provides a simple control strategy that can be extended later to more effective controllers.

Referencias bibliográficas

  • Bartkowiak, R., Woernle, C., 2016. Necessary and sufficient mobility conditions for single-loop overconstrained nh mechanisms. Mechanism and Machine Theory 103, 65 – 84. https://doi.org/10.1016/j.mechmachtheory.2016.03.023
  • Cardona, M. N., 2009. Analisis cinematico de robots paralelos planares 3rrr. Vigesimo novena convencion de centroamerica y panama del IEEE CONCAPAN XXIX.
  • Cardona, M. N., Feb 2015. Dimensional synthesis of 3rrr planar parallel robots for well-conditioned workspace. IEEE Latin America Transactions 13 (2), 409–415. DOI: 10.1109/TLA.2015.7055557 https://doi.org/10.1109/TLA.2015.7055557
  • Chen, X., Liu, X.-J., Xie, F., 2015. Screw theory based singularity analysis of lower-mobility parallel robots considering the motion/force transmissibility and constrainability. Mathematical Problems in Engineering. https://doi.org/10.1155/2015/487956
  • Liping, W., Huayang, X., Liwen, G., Yu, Z., 2016. A novel 3-puu parallel mechanism and its kinematic issues. Robotics and Computer-Integrated Manufacturing 42, 86 – 102. https://doi.org/10.1016/j.rcim.2016.05.003
  • Lopez-Custodio, P., Rico, J., Cervantes-Sánchez, J., Pérez-Soto, G., Díez-Martínez, C., 2017. Verification of the higher order kinematic analyses equations. European Journal of Mechanics - A/Solids 61, 198 – 215. https://doi.org/10.1016/j.euromechsol.2016.09.010
  • Mejia, L., Simas, H., Martins, D., 2016. Wrench capability in redundant planar parallel manipulators with net degree of constraint equal to four, five or six. Mechanism and Machine Theory 105, 58 – 79. https://doi.org/10.1016/j.mechmachtheory.2016.06.020
  • Sun, T., Zhai, Y., Song, Y., Zhang, J., 2016. Kinematic calibration of a 3-dof rotational parallel manipulator using laser tracker. Robotics and Computer-Integrated Manufacturing 41, 78 – 91. https://doi.org/10.1016/j.rcim.2016.02.008
  • Wu, A., Shi, Z., Li, Y., 2015. Formal kinematic analysis of a general 6r manipulator using the screw theory. Mathematical Problems in Engineering. https://doi.org/10.1155/2015/549797
  • Wu, Y., Carricato, M., 2017. Identification and geometric characterization of lie triple screw systems and their exponential images. Mechanism and Machine Theory 107, 305 – 323. https://doi.org/10.1016/j.mechmachtheory.2016.09.020
  • Xiong, T., Chen, L., Ding, J., Wu, Y., Hou, W., 2016. Recognition of kinematic joints of 3d assembly models based on reciprocal screw theory. Mathematical Problems in Engineering. https://doi.org/10.1155/2016/1761968
  • Xu, Y., Zhang, D., Yao, J., Zhao, Y., 2017. Type synthesis of the 2r1t parallel mechanism with two continuous rotational axes and study on the principle of its motion decoupling. Mechanism and Machine Theory 108, 27 – 40. https://doi.org/10.1016/j.mechmachtheory.2016.09.007
  • Zhao, T., Li, E., Bian, H.,Wang, C., Geng, M., 2017. Type synthesis and analysis of rotational parallel mechanisms with a virtual continuous axis. Mechanism and Machine Theory 109, 139 – 154. https://doi.org/10.1016/j.mechmachtheory.2016.09.023
  • Zubizarreta, A., Marcos, M., Cabanes, I., Pinto, C., Portillo, E., 2012. Redundant sensor based control of the 3rrr parallel robot. Mechanism and Machine Theory 54, 1 – 17. https://doi.org/10.1016/j.mechmachtheory.2012.03.004