AndersE wrote:On many movies on youtube i have seen of the filastruder, i can clearly hear that everytime the heater goes on, the motorspeed change.
Or is it something else i hear? It sounds like "weeee....oooo....weeee....ooo" 
If it is so, is the heater and motor running from the same supply? Then the heater drops the voltage so much that the motor gets less speed (underdimensioned powersupply). It should then be impossible to get a consistent diameter of the filament.
The power supply is not underrated. The Filastruder draws about 4.5 amps, the power supply is rated for 6 amps.
No power supply has perfect load regulation. Even expensive power supplies like a Meanwell have load regulation of about 2%. In practice, the power supply sits at about 12.1v with the heater off, and 11.9v with the heater on. That is less than 1% voltage difference. As you probably know, the output speed of a DC motor is proportional to the supply voltage, so we would expect the motor speed to vary +/- a few percent, usually 1%.
The human ear has a pitch resolution of 0.25%. Therefore, the human ear can pick up very small changes in pitch (which is also proportional to motor speed). The fact that you hear a difference in speed is pretty meaningless.
Next, it is important to consider the error introduced by motor speed variation relative to other sources or error. The pellets are oriented randomly, meaning that they do not have uniform density. This results in a mass feed rate varying by roughly 10% - so the motor is nothing compared to this.
Finally, we can consider empirical results. Users report that the filament diameter tolerance is +/-0.05mm without a winder, and +/-0.02mm with a winder. This is about a 2-5% variation in filament diameter.
AndersE wrote:And also many have insulated also the barrel.
That i think is wrong. You want to get rid of the heat from the barrel, not trap it there.
What is the reason for this statement?
By leaving the barrel uninsulated, you reduce the effective L/D ratio - it is already lower than typically recommended for the plastics we use. Insulating the barrel improves filament throughput, by increasing the average coefficient of friction in the barrel.
I've read several books on polymer extrusion - the design decisions I made are based on commonly accepted design practices in industry.