Interpolation And Tool Compensation Calculation Principle Overview
The actual processing in the machine tool, the outline of the shape of the workpiece to be machined vary, all kinds. Strictly speaking, in order to meet the requirements of precision geometry, tool center path should be accurate according to the outline of the shape of the workpiece to generate. However, for the simple curve, CNC equipment is easy to implement, but for more complex shapes, if the direct generation, is bound to make a very complicated algorithm, the computer’s workload greatly increased accordingly. Thus, in practice, often with a short straight line or arc to approximate the parabola can also be used on some occasions, elliptical, hyperbolic and other high-order curve to approximate (or fitting). The so-called interpolation is the process of data densification. In CNC System Limited input coordinate points (such as start, end) of the case, the computer according to the characteristics of line (straight line, arc, ellipse, etc.), the use of certain algorithms, automatically generate between coordinates in a limited series of coordinate data, which The so-called secret of the data to automatically coordinate axis of each pulse distribution, complete the segment of track running to meet the precision requirements.
CNC control system, the outline of the main question is how to control the trajectory of tool or workpiece. Both hardware NC (NC) system, or computer numerical control (CNC) system or computer numerical control (MNC) system, there must be complete interpolation function is merely taken in different ways. MNC in the CNC, or to the software (program) to complete interpolation or software and hardware combination to achieve interpolation, and in NC there is a special pulse distribution calculation to complete (ie, interpolation calculation) of the computing device?? Interpolator. Whether software or hardware NC NC, its basically the same principle of interpolation of operations, its role are based on the information given figures, calculating the coordinates of the process of continuously sent to the coordination between the various feed pulse, the accused machine parts move along designated routes.
The interpolation algorithm, other than to ensure the accuracy of interpolation calculation, the algorithm is simple and also requested. This is the hardware digital control, the control circuit can be simplified, using simple calculator. As for computer numerical control systems, this can increase the computing speed, the control system quickly and evenly into a pulse output.
After years of development, interpolation theory continues to mature, type a number. From the mathematical model to generate points with linear interpolation, quadratic interpolation, etc.; output value from the interpolation calculation the form of points, there is reference pulse interpolation (also called pulse incremental interpolation) and data sampling interpolation . Pulse interpolation in the base, according to the basic principles are divided into to determine the characteristics of the region-by-point comparison method interpolation, characterized by the multiplication ratio of digital pulse multiplier interpolation, digital integration method for computing the number of interpolation points to vector operations Vector Criterion-based interpolation, both the number of points point by point comparison and comparison of integral interpolation characteristics, and so on. In CNC systems, in addition to the above benchmarks can be used in a variety of pulse interpolation interpolation theory, it can also use a variety of data sampling interpolation method.
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