Quaternion-based five-coordinate spline interpolation control method
A control method and five-coordinate technology, applied in the direction of digital control, electrical program control, etc., can solve the problems of discontinuity, destruction of track accuracy, transmission error, etc.
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specific Embodiment approach 1
[0017] Specific implementation mode one: the steps of this implementation mode are as follows:
[0018] Step 1, read the track data on the curve of the part design drawing by the CAM software, and establish the CAM tool path;
[0019] Step 2. Convert the CAM tool path to the five-coordinate spline interpolation NC code format; the five-coordinate spline interpolation NC code format is divided into three forms: linear translation five-coordinate spline interpolation NC code format, linear rotation five Coordinate spline interpolation NC code format and general five-coordinate spline interpolation NC code format;
[0020] Step 3. Convert the three five-coordinate spline interpolation NC code formats into joint motion programs through the inverse dynamics transformation formula. The formula is:
[0021]
[0022]
[0023] X = ( X W ...
specific Embodiment approach 2
[0025] Embodiment 2: This embodiment differs from Embodiment 1 in that the CAM tool path is divided into a translation path, a pure rotation path, and a compound path of translation and rotation. Other compositions and connection methods are the same as those in Embodiment 1.
specific Embodiment approach 3
[0026] Embodiment 3: The difference between this embodiment and Embodiment 2 is that the translation path and the pure rotation path, and the compound path of translation and rotation are respectively composed of translation cubic uniform B-spline, rotation triple uniform quaternary B-spline and double cubic uniform B-splines to describe. Other compositions and connection methods are the same as those in the second embodiment.
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