A Kinematic Notation for Lower-pair Mechanisms Based on Matrices

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A kinematic notation for lower-pair mechanisms based on matrices

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 Advanced Robotics

Lecture 4

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R. S. Hartenberg and J. Denavit, “A kinematic notation for lower pair mechanisms basedon matrices,” Journal of Applied Mechanics, vol. 77, pp. 215–221, June 1955.

Transformation in a joint is described by 4 parameters

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R. S. Hartenberg and J. Denavit, “A kinematic notation for lower pair mechanisms basedon matrices,” Journal of Applied Mechanics, vol. 77, pp. 215–221, June 1955.

Transformation in a joint is described by 4 parameters

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R. S. Hartenberg and J. Denavit, “A kinematic notation for lower pair mechanisms basedon matrices,” Journal of Applied Mechanics, vol. 77, pp. 215–221, June 1955.

Transformation in a joint is described by 4 parameters

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R. S. Hartenberg and J. Denavit, “A kinematic notation for lower pair mechanisms basedon matrices,” Journal of Applied Mechanics, vol. 77, pp. 215–221, June 1955.

Transformation in a joint is described by 4 parameters

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R. S. Hartenberg and J. Denavit, “A kinematic notation for lower pair mechanisms basedon matrices,” Journal of Applied Mechanics, vol. 77, pp. 215–221, June 1955.

Transformation in a joint is described by 4 parameters

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Transformation in a joint is described by 4 parameters

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Transformation in a joint is described by 4 parameters

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RV-6S/6SC

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RV 6S/6SC

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MATLAB simulation in ROBOT toolbox:

mRV6S =

RV-6S (6 axis, RRRRRR) [Mitsubishi] <home = [0.000000 -1.047198 -0.523599 0.000000 0.785398 0.000000]>

grav = [0.00 0.00 9.81]

alpha_i a_i theta_i d_i R/P standard D&H parameters

-1.570796 85.000 parameter 350.000 R (std)

0.000000 280.000 parameter 0.000 R (std)

-1.570796 100.000 parameter 0.000 R (std)

1.570796 0.000 parameter 315.000 R (std)

-1.570796 0.000 parameter 0.000 R (std)0.000000 0.000 parameter 85.000 R (std)