Geometry Definition and Automated Calculations

Estimated reading: 2 minutes

Professional CNC process design requires precision and speed. EvoSpline is engineered to let the technologist focus on machining optimization rather than tedious mathematical calculations.

Real-time Calculations (Live Updates)

The software operates in a dynamic mode – every change to an input parameter (such as module, outside diameter, or number of starts) instantly triggers new calculations.

This allows you to see the following in real-time:

Changes to the lead angle of the thread.
The current root diameter.
The total Lead.

This eliminates the risk of error and significantly speeds up the production preparation process, providing a preview of the resulting parameters before the NC code is even generated.
Core Principle: Axial Profile

The EvoSpline algorithm focuses on generating the theoretical axial profile of the worm thread. This is a critical parameter for ensuring proper engagement between the worm and the worm gear. The program ensures that every tool path precisely approximates the profile to the ideal defined by the module parameters.

Engineering Transparency – Basic Formulas

The parameters calculated by EvoSpline are based on standard gear design guidelines. We provide these relationships so you can quickly verify the results against your technical document.

Axial Pitch (Px):
Determined from the axial module (mx):

$P x = π \cdot m x $

Lead (L):
Dependent on the pitch and the number of starts (z):

$L = P x \cdot z$

Theoretical Tooth Height (h):
The sum of the addendum and dedendum (including tip clearance):

$h \approx 2.2 \cdot m x $

Lead Angle (γ):
Calculated at the pitch diameter (d), essential for the correct positioning of the tool holder:

$t a n (γ) = L / π \cdot d$

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