Constructing a sine wave profile (or a sinusoid)


Click <Profile by function> f_clip0733 button and select the <Functions> tab on the opened window.

Let us see an example of construction of sine wave profile with the amplitude equal to 40 mm and period equal to 100 mm.

 

image327

 

It is known, that period of Y=Sin(X) function is equal to 180 degrees, where the length of the period is equal to 100 mm. Find the scale coefficient for the argument {t}:

 

100/180=0.55555

 

Set the function expression X:

 

X{t}=0.5555*{t)

 

In the expression

 

Y{t}=40Sin(2*{t})

 

40 – is the amplitude of the sinusoid, 2 – total number of semi periods of the sinusoid on the 100 mm section. On the sinusoid it is possible to select any section, using the <Argument range>. Note that the range is assigned in degrees.

 

f_clip0773

 

In case <Argument range> set from 0 to 180 degrees, after setting <Contour definition> on, pressing <Calculate> button and closing window we are get sinusoid like this:

 

f_clip0148

 

Let us see another example; below is a drawing of a contour, which contains a section that is represents by a part of a sinusoid.

 

clip0040f_clip0774

 

Required parameters of the sinusoid:

  • Period length – 110 mm
  • Amplitude – 25 mm

 

Require argument coefficient X{t}:

 

110/180=0.6111

 

From the drawing we define the offset coefficient:

 

X{t}: 70+55/2=97.5

Y{t}: 30+50/2=55

 

It is necessary to put the obtained values into the corresponding fields of the parameters window. Calculate and as a result, the required profile is obtained. Construct straight lines on the ends of the sinusoid and in the editing mode join the resulting three contours into a single one.

Move to <Machining> mode and select the <2D contouring> operation and having assigned the required machining parameters, we can create the tool path. In the <Simulation> mode, the user will obtain the following machining result:

 

image330

 

 

 

See also:

<Functions> tab