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7 path contours — spline interpolation, Function – HEIDENHAIN TNC 426 (280 476) User Manual

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HEIDENHAIN TNC 426, TNC 430

173

6.7 P

a

th Cont

ours

Spline Int

e

rpolation

6.7 Path Contours — Spline

Interpolation

Function

If you wish to machine contours that are described in a CAD system
as splines, you can transfer them directly to the TNC and execute
them. The TNC features a spline interpolator for executing third-
degree polynomials in two, three, four, or five axes.

Example: Block format for two axes

The TNC executes the spline block according to the following third-
degree polynomials:

X(t) = K3X · t

3

+ K2X · t

2

+ K1X · t + X

Z(t) = K3Z · t

3

+ K2Z · t

2

+ K1Z · t + Z

whereby the variable t runs from 1 to 0. The incrementation of t
depends on the feed rate and the length of the spline.

Example: Block format for five axes

You cannot edit spline blocks in the TNC. Exception: Feed
rate F and miscellaneous function M in the spline block.

7 L X+33.909 Z+75.107 F MAX

Spline starting point

8 SPL X+39.824 Z+77.425

Spline end point

K3X+0.0983 K2X-0.441 K1X-5.5724

Spline parameters for X axis

K3Z+0.0015 K2Z-0.9549 K1Z+3.0875 F10000

Spline parameters for Z axis

9 SPL X+44.862 Z+73.44

Spline end point

K3X+0.0934 K2X-0.7211 K1X-4.4102

Spline parameters for X axis

K3Z-0.0576 K2Z-0.7822 K1Z+4.8246

Spline parameters for Z axis

10 ...

7 L X+33.909 Y-25.838 Z+75.107 A+17 B-10.103 F MAX

Spline starting point

8 SPL X+39.824 Y-28.378 Z+77.425 A+17.32 B-12.75

Spline end point

K3X+0.0983 K2X-0.441 K1X-5.5724

Spline parameters for X axis

K3Y-0.0422 K2Y+0.1893 K1Y+2.3929

Spline parameters for Y axis

K3Z+0.0015 K2Z-0.9549 K1Z+3.0875

Spline parameters for Z axis

K3A+0.1283 K2A-0.141 K1A-0.5724

Spline parameters for A axis

K3B+0.0083 K2B-0.413 E+2 K1B-1.5724 E+1 F10000

Spline parameters for B axis with

exponential notation

9 ...

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