In Pro/ENGINEER you can create a datum curve from a mathematical equation. Below are some examples of how this can be achieved.
First you will need to follow the three simple steps below:
- Insert > Model Datum > Curve … > From Equation > Done
- Select your coordinate system
- Select Cartesian, Cylindrical or Spherical
Equations in Pro/ENGINEER will make each of the three variables (X, Y and Z in Cartesian Coordinates) independent of each other and based on "t" which Pro/ENGINEER will vary from zero to one.
A simple math equation for a parabola, for instance, is normally written as:
In Pro/ENGINEER, an equation must be written for each variable independently, as follows:
x=t^2 (x varies with square of t)
y=t (y varies linearly with t)
z=0 (curve on the x-y plane) (Figure 1)
Pro/ENGINEER evaluates the equation from t=0 to t=1, so, in order to scale the result, just add a scale factor to the equations as follows:
x=3*t^2 (scaling the result by 3) (Figure 2)
The result will be as if “t” varied from zero to three. (Figure 3)
Additionally, you can displace the curve by adding a constant to the equation like:
And/or, you can change the Z position by making Z equal to a non-zero value, or even an equation of its own. (Figure 4)
Figure 5 shows the curve generated from the following equations:
You can create an elliptical helix with the below equation:
z=5*t (Figure 6)
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