Print Speed Profiles

Theoretical Background & Kinematics of 3D Printing

In FDM (Fused Deposition Modeling) 3D printing, Print Speed refers to the velocity at which the printhead travels while extruding plastic. However, speed cannot be analyzed in isolation. It is governed by the laws of kinematics (acceleration, jerk, and inertia) and the thermodynamic limits of the hotend (volumetric flow rate).

The Thermodynamic Melt Limit (Volumetric Flow Rate)

The maximum speed at which a printer can operate is fundamentally limited by the rate at which the heater block can transfer thermal energy into the passing solid plastic filament.

The volumetric flow rate ($Q$) is calculated as:

$$Q=v\cdot w\cdot h$$

Where: