• Investigación

    Mathematical modeling of the direct and inverse kinetics of a handling robot with three degrees of freedom

    Vol. 8 No. 15 (2012)
    Published: 2024-03-29
    José Luis Ramírez Arias
    Universidad Cooperativa de Colombia
    Astrid Rubiano Fonseca
    Universidad Cooperativa de Colombia

    This research paper describes in detail the mathematical models for the direct and inverse kinetics of a handling robot with three degrees of freedom, with the objective of determining the position for each of the robot’s articulations, as well as the positions that may be reached by the final extremity. The model was developed using homogeneous transformation matrixes and Denavit-Hartenberg parameters, as well as numerical methods to verify the efficiency of the proposed models. The model we developed presents two solutions; this makes its implementation complex since a decision process is needed. This development is the result of the research project: “Design and implementation of a Handling Robot with three degrees of freedom for educational purposes”, approved by Conadi in the 2009 call for research projects. The project is being carried out by the Industrial automation research group from the program of Electronic Engineering of the Universidad Cooperativa de Colombia.

    Keywords: direct kinetics, inverse kinetics, robot control, handling, numerical methods

    How to Cite

    [1]
    J. L. Ramírez Arias and A. Rubiano Fonseca, “Mathematical modeling of the direct and inverse kinetics of a handling robot with three degrees of freedom”, ing. Solidar, vol. 8, no. 15, pp. 46–52, Mar. 2024, doi: 10.16925/.

    E. Vargas, L. Villarreal, J.M. Reynoso y R. Mier Maza. Diseño de un manipulador industrial para aplicaciones de limpieza en subestaciones eléctricas. Monterrey: Instituto Tecnológico y de Estudios Superiores de Monterrey, Centro Metropolitano de Investigación en Mecatrónica. 2001.

    J.R. Vargas et al. Robot manipulador para aplicación de recubrimiento en líneas de alta tensión. Monterrey: Instituto Tecnológico y de Estudios Superiores de Monterrey. 2001.

    P. Kalra, P.B. Mahapatra, D.K. Aggarwal. “An evolutionary approach for solving the multimodal inverse kinematics problem of industrial robots”. Mechanism and machine theory, vol. 41, núm. 10, 2006, octubre, pp. 1213-1229.

    Z.S. Abo-Hammour, N.M. Mirza, S. M. Mirza, M. A. “Cartesian path generation of robot manipulators using continuous genetic algorithms”. Robotics and autonomous systems, vol. 41, núm. 4, 2002, diciembre, pp. 179-223.

    M. da Graca Marcos, J.A. Tenreiro Machado y T.P. Azevedo Perdicoulis. “Trajectory planning of redundant manipulators using genetic algorithms”. Communications in nonlinear science and numerical simulation, vol. 14, núm. 7, 2009, julio, pp. 2858-2869.

    A.C. Nearchou. “Solving the inverse kinematics problem of redundant robots operating in complex environments via a modified genetic algorithm”. Mechanism and machine theory, vol. 33, núm. 3, 1998, abril, pp. 273-292.

    P. Th. Zacharia, N.A. Aspragathos. “Optimal robot task scheduling based on genetic algorithms”. Robotics and computer integrated manufacturing, vol. 21, núm. 1, 2005, febrero, pp. 67-79.

    Wei-Min Yun, Yu-Geng Xi. “Optimum motion planning in joint space for robots using genotics and Autonomous Systems, vol. 18, núm. 4, 1996, octubre, pp. 373-393.

    S. Shital, N. Chiddarwar, R. Babu. “Comparison of RBF and MLP neural networks to solve inverse kinematic problem for 6R serial robot by a fusion approach”. Engineering applications of artificial intelligence, vol. 23, núm. 7, 2010, octubre, pp. 1083-1092.

    R. Köker, C. Öz, T. Çakar, H. Ekiz. “A study of neural network based inverse kinematics solution for a threejoint robot”. Robotics and autonomous systems, vol. 49, núm. 3-4, Patterns and autonomous control, 2004, diciembre, pp. 227-234.

    E. Dermatas, A. Nearchou, N. Aspragathost. “Error back - propagation solution to the inverse kinematic problem of redundant manipulators”. Robotics and computer integrated manufacturing, vol. 12, núm. 4, 1996, diciembre, pp. 303-310.

    H.S. Lee, S.L. Chang. “Development of a cad/cae/cam system for a robot manipulator”. Journal of Materials Processing Technology, núm. 140, 2003, pp. 100-104.

    MÉTRICAS
    ARTICLE VIEWS: 1990
    PDF VIEWS: 25218
    Metrics
    Metrics Loading ...
    https://plu.mx/plum/a/?doi=10.16925/