A Greedy Algorithm for Feed-rate Planning of CNC Machines along Curved Tool Paths with Confined Jerk for Each Axis

@inproceedings{Zhang2010AGA,
  title={A Greedy Algorithm for Feed-rate Planning of CNC Machines along Curved Tool Paths with Confined Jerk for Each Axis},
  author={Ke Zhang and Xiao-Shan Gao and Hongbo Li and Chun-Ming Yuan},
  year={2010}
}
The problem of optimal feed-rate planning along a curved tool path for 3-axis CNC machines with a jerk limit for each axis is addressed. We prove that the optimal feed-rate planning must use “Bang-Bang” control, that is, at least one of the axes reaches its jerk bound throughout the motion. As a consequence, the optimal parametric velocity can be expressed as a piecewise analytic function of the curve parameter u. We also give the explicit formula for the velocity function by solving a second… CONTINUE READING

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