Difference between revisions of "Pulses per Microliter"

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== EMO and VOL ==
== EMO and VOL ==


The EMO and VOL heads both have a 27:1 gear ratio.
The EMO and VOL heads each have:


360 degrees equals one revolution of the motor.
A. A 1.8° stepping motor, running in 1/16th microstep mode;
B. A 27:1 planetary gear;
C. A 1:1 drive screw coupling;
D. A drive screw with a pitch of 18 threads per inch, or 1.411 thread per mm;
E. And a reservoir with a 17 mm diameter, or 227 mm<sup>2</sup> cross section.


Each full step is 1.8 degrees, so 200 full steps per revolution of the extrusion motor.
The table below explains how a certain number of pulses (or microsteps) on the motor will generate a certain volume displacement in the reservoir - the pulses/µL number that we need to control the material flow.
 
With 1/16th microstepping, that means 3200 microsteps per revolution of the extrusion motor.
 
One revolution of the extrusion motor equals one revolution of the drive screw (direct connection).
 
The drive screw has a pitch of 18 threads per inch, or 1.411 mm per revolution.
 
So...
 
3200 pulses times 27 equals 86,400 pulses (or microsteps) on the motor will deliver one revolution of the drive shaft, which moves the plunger in 1.4 mm in the cylinder.
 
The cylinder has a diameter of 17 mm, so the cross sectional area is 227 mm^2.
 
One revolution then displaces 1.4 mm of 227 mm^2 cross section, or 317.8 mm^3, or 317.8 µL.
 
Therefore, 86,400 pulses = 317.8 µL, or ~ 272 pulese/µL.


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Revision as of 17:21, 27 July 2020

This is to explain the various gearing on our different heads.

EMO and VOL

The EMO and VOL heads each have:

A. A 1.8° stepping motor, running in 1/16th microstep mode; B. A 27:1 planetary gear; C. A 1:1 drive screw coupling; D. A drive screw with a pitch of 18 threads per inch, or 1.411 thread per mm; E. And a reservoir with a 17 mm diameter, or 227 mm2 cross section.

The table below explains how a certain number of pulses (or microsteps) on the motor will generate a certain volume displacement in the reservoir - the pulses/µL number that we need to control the material flow.

Flow Calculations for the 27:1 EMO and VOL Heads
Component Motor Gearing Coupling Drive Screw Reservoir
Image EH-motor.png EH-gear.png EH-coupling.png EH-screw.png EH-reservoir.png
Details This is a 1.8° stepping motor,
so 200 full steps = 1 revolution.

1 pulse is a 1/16th microstep,
so 3200 pulses = 1 motor rev.

27:1 planetary gear,
so 27 motor revs
= 1 output rev.
1:1 direct coupling,
so no change
is introduced.
The drive screw has a pitch
of 18 threads per inch, or
1.411 mm linear travel
per revolution.
The reservoir has a diameter of 17 mm,
so the cross sectional area is 227 mm2.

Therefore, each revolution of the drive screw
displaces 1.411 x 227 or 317.8 mm3 (or 317.8 µL) of volume.

1 Rev
Calc.
86,400 pulses =
27 motor revs...
= 1 output rev... = 1 screw rev... = 1.411 mm linear advance... = 317.8 µL displacement.
So: 86,400 pulses = 317.8 µL, or 271.9 pulses/µL