Modeling for error analysis of cam mechanisms by using 4 × 4 homogeneous transformation matrix

  • Authors:

  • Psang Dain Lin;Shyh Guang Hwang

  • Affiliations:

  • National Cheng Kung University, Department of Mechanical Engineering Tainan, Taiwan 70101, R.O.C.;National Cheng Kung University, Department of Mechanical Engineering Tainan, Taiwan 70101, R.O.C.

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 1994

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Abstract

A model of evaluating the output errors of precision cam mechanisms is introduced. The error components considered are errors resulting from inaccuracy of parts and error motions due to joint-plays. The 4 x 4 homogeneous transformation matrices are used in this analysis and an error matrix is proposed to account for the effects of error motions. The major benefit from this model is the capability of assessing the influence of each error component on a machine's accuracy. This model is particularly useful to allocate a machine's tolerances while the design is still on paper and to evaluate the accuracy of an existing machine.