Abstract
Discussed in this paper are the issues underlying the mechanical design of a seven-axes isotropic manipulator. The kinematic design of this manipulator was made based on one main criterion, namely, accuracy. Thus, the main issue determining the underlying architecture, defined by its Hartenberg—Denavit (HD) parameters, was the optimization of its kinematic conditioning. This main criterion led not to one set of HD parameters, but rather to a manifold of these sets, which allowed the incorporation of further requirements, such as structural behavior, workspace considerations and functionality properties. These requirements in turn allowed the determination of the link shapes and the selection of actuators. The detailed mechanical design led to heuristic rules that helped in the decision-making process in defining issues such as link sub-assemblies and motor location along the joint axes.
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Pieper, D. L: The kinematics of manipulators under computer control, PhD Thesis, Stanford University, CA, 1968.
Mavroidis, C. and Roth, B.: Structural parameters which reduce the number of manipulator configurations, inASME Biennial Mechanisms Conference, 13–16 Sept., 1992, Vol. 45, 1992, pp. 359–366.
Hayati, S.: Improving the absolute positioning accuracy of robot manipulators,J. Robotic Systems 2 (1985), 397–413.
Bennett, D. J., Hollerbach, J. M. and Henri, P. D.: Kinematic calibration by direct estimation of the Jacobian matrix, inProc. 1992 IEEE Int. Conf. Robotics Automat. 1 (1992), pp. 351–357.
Hollerbach, J. M.: Optimum kinematic design for a seven degree of freedom manipulator, in H. Hanafusa and H. Inoue (eds),Robotics Research, 2nd Int. Symp., MIT Press, Cambridge, MA, 1985, pp. 215–222.
Kim, J.-O. and Khosla, P. K.: Framework for task based design of manipulators, in4th Int. Symp. Robotics and Manufacturing (ISRAM'92), Vol. 4, 1992, pp. 27–32.
Kim, J.-O. and Khosla, P. K.: A multi-population genetic algorithm and its application to design of manipulators,IEEE/RSJ Int. Workshop on Intelligent Robots and Systems (IROS'92), 1992.
Kim, J.-O. and Khosla, P. K.: Task based synthesis of optimal manipulator configurations,1992 Japan—USA Symposium on Flexible Automation, A Pacific Rim Conference, ISCIE, San Francisco, CA, 1992.
Shmitz, D. E., Khosla, P. K. and Kanade, T.: The CMU reconfigurable modular manipulator system,Proc. 18th ISIR, Australia, 1988.
Hartenberg, R. S. and Denavit, J.:Kinematic Synthesis of Linkages, McGraw-Hill, New York, 1964.
Angeles, J., Ranjbaran, F. and Patel, R. V.: On the design of the kinematic structure of seven-axes redundant manipulators for maximum conditioning, inProc. IEEE Int. Conf. Robotics Automat., Vol. 1, 1992, pp. 494–499.
Yoshikawa, T.: Analysis and control of robot manipulators with redundancy, Preprints1st Int. Symp. Robotics Res., Aug. 28–Sept. 2, 1983, Bretton Woods, NH, 1983.
Yoshikawa, T.: Manipulability of robotic mechanisms,Int. J. Robotics Res. 4 (1985), 3–9.
Angeles, J. and López-Cajún, C. S.: Kinematic isotropy and the conditioning index of serial robotic manipulators,Int. J. Robotics Res. 11(6) (1992), 560–571.
Klein, C. A. and Blaho, B. E.: Dexterity measures for the design and control of kinematically redundant manipulators,Int. J. Robotics Res. 6 (1987), 72–83.
Klein, C. A. and Miklos, T. A.: Spatial robotic isotropy,Int. J. Robotics Res. 10(4) (1991), 426–437.
Hsu, M. S. and Kohli, D.: Boundary surfaces and accessibility regions for regional structures of manipulators,Mechanism and Machine Theory 22(3) (1987), 277–289.
González—Palacios, M. A., Angeles, J. and Ranjbaran, F.: The kinematic synthesis of serial manipulators with a prescribed Jacobian,1993 IEEE Int. Conf. Robotics Automation, Atlanta, GA.
Whitney, D. E.: The mathematics of coordinated control of prosthetic arms and manipulators,ASME J. Dynam. Syst., Meas., Contr. 94(14) (1972), 303–309.
Hunt, K. H.:Kinematic Geometry of Mechanisms, Clarendon Press, Oxford, 1978.
Golub, G. H. and Van Loan, C. F.:Matrix Computations, Johns Hopkins University Press, Baltimore, 1983.
Li, Z.: Geometrical considerations of robot kinematics,Int. J. Robotics Automation 5(3) (1990), 139–145.
Salisbury, J. K. and Craig, J. J.: Articulated hands: Force and kinematics issues,Int. J. Robotics Res. 1 (1982), 4–17.
Angeles, J.: The design of isotropic manipulator architectures in the presence of redundancies,Int. J. Robotics Res. 11(3) (1992), 196–201.
Angeles, J., Pfeiffer, F. and Weidemann, H.-J.: The kinematic design of walking machines under isotropy criteria,3rd Int. Workshop on Advances in Robot Kinematics, Ferrara, 7–9 Sept., 1992, pp. 230–235.
Saha, S. K., Angeles, J. and Darcovich, J.: The kinematic design of a 3-dof isotropic mobile robot,1993 IEEE Int. Conf. Robotics and Automation, Atlanta, GA, 1993.
Kim, J.-O. and Khosla, P. K.: Dexterity measures for design and control of manipulators, inIEEE/RSJ Int. Worshop on Intelligent Robots and Systems (IROS'91), 1991, pp. 758–763.
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Ranjbaran, F., Angeles, J., González-Palacios, M.A. et al. The mechanical design of a seven-axes manipulator with kinematic isotropy. J Intell Robot Syst 14, 21–41 (1995). https://doi.org/10.1007/BF01254006
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DOI: https://doi.org/10.1007/BF01254006