Table of Contents
Advertisement
The TNC displays the following program blocks:
6 FN0: Q5 = + 0
7 FN3: Q 2 = +Q5 * +7
10.4 Trigonometric Functions
Sine, cosine and tangent are terms designating the ratios of sides
of right triangles. For a right triangle, the trigonometric functions of
the angle
are defined by the following equations:
sin α = a / c
Sine:
cos α = b / c
Cosine:
Tangent: tan α = a / b = sin α / cos α
where
c is the side opposite the right angle
a is the side opposite the angle
b is the third side.
The TNC can find the angle from the tangent
α = arctan α = arctan (a / b) = arctan (sin α / cos α)
Example:
a = 10 mm
b = 10 mm
α = arctan (a / b) = arctan 1 = 45°
Furthermore:
a
+ b
= c
(where a
= a x a)
2
2
2
2
c = √ (a
+ b
)
2
2
Programming trigonometric functions
Press the TRIGONOMETRY soft key to call the trigonometric
functions. The TNC then displays the soft keys that are listed in the
table at right.
Programming: compare „Example: Programming
fundamental operations" .
HEIDENHAIN TNC 426 B, TNC 430
www.EngineeringBooksPdf.com
c
α
b
Function
FN6: SINE
Example: FN6: Q20 = SIN–Q5
Calculate the sine of an angle in
degrees (°) and assign it to a parameter.
FN7: COSINE
Example: FN7: Q21 = COS–Q5
Calculate the cosine of an angle in
degrees (°) and assign it to a parameter.
FN8: ROOT-SUM OF SQUARES
Example: FN8: Q10 = +5 LEN +4
Calculate and assign length from two values
FN13: ANGLE
Example: FN13: Q20 = +10 ANG–Q1
Calculate the angle from the arc tangent
of two sides or from the sine and cosine
of the angle (0 < angle < 360°) and
assign it to a parameter.
a
Soft key
257
Advertisement
Table of Contents
