Abstract
In this Chapter, the procedure of modeling and the complete general form mathematical model of manipulators with six degrees of freedom (DOF) in cooperative work are presented, together with the solution of the indefiniteness problem with respect to force distribution. The obtained model is presented in several convenient forms. For the first time, a system of active spatial six-DOF mechanisms elastically interconnected with the object (dynamic environment) is modeled. The reason for the emergence of the indefiniteness problem with respect to force is explained and the procedure for solving this problem is given. Unlike the approaches given in the available literature, the indefiniteness problem with respect to force is solved in accordance with physical phenomena.
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References
S. Hayati, “Hybrid Position/Force Control of Multi-Arm Cooperating Robots”, Proc. of IEEE Conf. on Robotics and Automation, San Francisco, pp. 82–89, Apr. 1986.
Y. Nakamura, K. Nagai, and T. Yoshikawa, “Mechanics of Coordinative Manipulation by Multiple Robotic Mechanisms”, Proc. of IEEE Conf. on Robotics and Automation, Raleigh, pp. 991–998, Mar.-Apr. 1987.
K. Kosuge, J. Ishikawa, K. Furuta, and M. Sakai, “Control of Single-Master Multi-Slave Manipulator System Using Vim,” Proc. of IEEE Conf. on Robotics and Automation, Cincinnati, Ohio, pp. 1172–1177, May 1990.
A.B. Cole, J.E. Hauser, and S.S. Sastry, “Kinematics and Control of Multifingered Hands with Rolling Contact,” IEEE Trans. of Automatic Control, Vol. 34, pp. 398–404, Apr. 1989.
Y.F. Zheng, and J.Y.S. Luh, “Optimal Load Distribution for Two Industrial Robots Handling a Single Object,” Proc. of IEEE Conf. on Robotics and Automation, Philadelphia, pp. 344–349, Apr. 1988.
A. Ramadorai, T. Tarn, and A. Bejczy, “Task Definition, Decoupling and Redundancy Resolution by Nonlinear Feedback in Multi-Robot Object Handling”, Proc. of IEEE Conf. on Robotics and Automation, Nice, France, pp. 467–474, May 1992.
K. Jankowski, H. Elmaragfy, and W. Elmaragfy, “Dynamic Coordination of Multiple Robot Arms with Flexible Joints”, Int. J. Robotic Research, Vol. 12, pp. 505–528, Dec. 1993.
M. Djurovic, and M. Vukobratovic, “A Contribution to Dynamic Modeling of Cooperative Manipulation”, Mechanism and Machine Theory, Vol. 25, No. 4, pp. 407–416, 1990.
I. Walker, S. Marcus, and R. Freeman, “Distribution of Dynamic Loads for Multiple Cooperating Robot Manipulators”, Journal of Robotic Systems, Vol. 6, No. 1, pp. 35–47, 1989.
I. Prokofyev, Theory of Constructions (in Russian), Nauka, Moscow, 1963.
J. Argyris, and S. Kelsey, Energy Theorems and Structural Analysis, Butterworths, London, 1971.
S. Rao, The Finite Element Method in Engineering, Pergamon Press, Oxford, 1982.
R. Gallagher, Finite Element Analysis (in Russian). Englewood Cliffs, New Jersey: Prentice-Hall, 1975.
Z. Luo, and M. Ito, “Control Design of Robot for Compliant Manipulation on Dynamic Environments”, IEEE Trans. of Robotics and Automation, Vol. 9, pp. 286–296, June 1993.
Z. Luo, K. Ito, and M. Ito, “Multiple Robot Manipulators’ Compliant Manipulation on Dynamical Environments”, Proceedings of IROS, pp. 1927–1934, 1993.
Z. Luo, Y. Uematsu, K. Ito, A. Kato, and M. Ito, “On Cooperative Manipulation of Dynamic Object”, Proceedings of IROS, pp. 1423–1431, 1994.
P. Akella, and M. Cutkosky, “Contact Transition Control with Semiactive Soft Fingertips”, IEEE Trans. of Robotics and Automation, Vol. 11, pp. 859–867, Dec. 1995.
O. Al-Jarrah, Y. Zheng, and K. Yi, “Trajectory Planning for Two Manipulators to Deform Flexible Materials Using Compliant Motion”, Proc. IEEE Int. Conf. on Robotics and Automation, Nagoya, Japan, pp. 1517–1522, 1995.
D. Sun, X. Shi, and Y. Liu, “Modeling and Cooperation of Two-Arm Robotic System Manipulating a Deformable Object”, Proc. of IEEE Conf. on Robotics and Automation, Minneapolis, MN, pp. 2346–2351, Apr. 1996.
V. Novozilov, Osnovi nelinjejnoj teorij uprugosti (in Russian), Ogiz, Leningrad, Gosudarstvjenoje Izdeljstvo Tehniko-teoreticeskoj Literaturi, 1948.
M. Vukobratovic, Applied Dynamics of Manipulation Robots, Springer-Verlag, 1989.
M. Vukobratovic, and D. Stokic, Control of Manipulation Robots, Springer-Verlag, 1989.
M. Vukobratovic, and Y. Ekalo, “Unified Approach to Control Laws Synthesis for Robotic Manipulators in Contact with Dynamic Environment”, Tutorial S5: Force and Contact Control in Robotic Systems, IEEE Int. Conf. on Robotics and Automation, Atlanta, pp. 213–229, 1993.
M. Vukobratovic, and Y. Ekalo, “New Approach to Control of Robotic Manipulators Interacting with Dynamic Environment”, Robotica, Vol. 14, pp. 31–39, 1996.
Y. Ekalo, and M. Vukobratovic, “Adaptive Stabilization of Motion and Forces in Contact Tasks for Robotic Manipulators with Non-Stationary Dynamics”, Int. Journal on Robotics and Automation, Vol. 9, pp. 91–98, 1994.
Y. Ekalo, and M. Vukobratovic, “Quality of Stabilization of Robots Interacting with Dynamic Environment”, Journal of Intelligent and Robotic Systems, Vol. 14, pp. 155–178, 1995.
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Vukobratovic, M., Potkonjak, V., Matijevic, V. (2003). Dynamics of Multi-ARM Cooperative Robots with Elastic Contacts. In: Dynamics of Robots with Contact Tasks. International Series on Microprocessor-Based and Intelligent Systems Engineering, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0397-0_6
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DOI: https://doi.org/10.1007/978-94-017-0397-0_6
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