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Abstract

An algorithm is presentedfor noniterative generation of the workspace of a general n-R manipulator. It is shown that if special techniques are used for the reduction of points, such algorithms, which otherwise require large storage, become computationally feasible. For the evaluation of the workspace, approach angles and approach lengths for points in the workspace are analyzed by using a stable iterative algorithm for inverse kinematic analysis. One modification makes it a strict descent algorithm with respect to certain measures of deviation from the target position; another uses a variable convergence criterion to improve its speed and accuracy in the determination of the limiting configurations.

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References

Duffy, J. 1980. Analysis of mechanisms and robot manipulators. New York: Wiley-Interscience.

Duffy, J. , and Crane, C. 1980. A displacement analysis of the general spatial 7-link 7R mechanism. Mechanism Mach. Theory 15:153-169.

Gupta, K.C. , and Roth, B. 1982. Design considerations for manipulator workspace. ASME J. Mechanical Design 104:704-711.

Hansen, J.A. 1983. Generation and evaluation of the workspace of a manipulator. M.S. thesis, University of Illinois at Chicago, Department of Mechanical Engineering.

Kumar, A. , and Waldron, K.J. 1981. The workspace of a mechanical manipulator. ASME J. Mechanical Design 103:665-672.

Lee, T.W. , and Yang, D.C.H. , 1982. On the evaluation of manipulator workspace. ASME paper 82-DET-126. New York: American Society of Mechanical Engineers.

Paul, R.P. 1981. Robot manipulators: Mathematics, programming and control . Cambridge, Mass.: MIT Press.

Pieper, D.L. , and Roth, B. 1969 (Sept.). The kinematics of manipulators under computer control. Proc. 2nd IFToMM Int. Cong. Theory Mach. Mechanisms, vol. 2. Warsaw: IFToMM, pp. 159-168.

Roth, B. 1976. Performance evaluation of manipulators from a kinematic viewpoint. Performance evaluation of programmable robots and manipulators. NBS #459. Washington, D.C.: U.S. Government Printing Office, pp. 39-61.

10.

Sugimoto, K. , and Duffy, J. 1981. Determination of extreme distances of a robot hand-part I. ASME J. Mechanical Design 103:631-363.

11.

Tsai, Y.C. and Soni, A.H. 1981. Accessible region and synthesis of robot arms. ASME J. Mechanical Design 103:803-811.

12.

Uicker, J.J. , Denavit, J. , and Hartenberg, R.S. 1964. An iterative method for the displacement analysis of spatial mechanisms. ASME J. Applied Mechanics 86:309-314.

Generation and Evaluation of the Workspace of a Manipulator

Abstract

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References