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Finding the Sweet Spot in Microtool Woodworking
The first question that most people ask when using carbide mini and micro tools to cut wood (and other soft materials) for the first time, is, "What are the best speeds and feeds?". What they really want to know is, "How fast I can cut without breaking a bit? What are the optimum cutting conditions with my equipment?"

As with most things in life, a precise answer to these questions is usually very difficult to come by. However, there are a few techniques that one can use to determine a very good approximation to the ideal conditions for machining the material at hand.

The following discussion assumes that you have measured the runout (TIR) of your spindle and found it to be less than 0.001" (0.025mm), that your spindle bore and collet / tool holder have been cleaned with ColletCare and, finally, that the backlash on both the X and Y axes of your CNC router are less than 0.001" (0.025mm).

In any material, tool performance, and longevity are primarily influenced by:

  • feedrate ramp or acceleration
  • feedrate
  • spindle RPM

Acceleration

Acceleration is defined as the rate that a velocity changes. The acceleration that we are most concerned with is how fast an XY movement goes from 0 to the selected feedrate (F) once the computer tells the controller to move. In the graph below, the acceleration (also known as ΔV/ΔT) is the slope of the ramp of the red velocity plot. The steeper the ramp (higher acceleration), the quicker the axes get up to speed. The shallower the ramp (low acceleration), the longer it takes to get to "F".
From the point of view of higher performance, higher acceleration means shorter cycle times and snappier customer demos. Unfortunately, as acceleration is increased, more transient transverse stress is exerted on the bit. If the stress exceeds a certain threshold (transverse rupture point), the bit will break. This is like whacking something brittle with a hammer (or your boss's head with a new idea). A little tap might not be a big deal, but a resounding smack will send shrapnel flying. In the case of cutting wood with small diameter carbide tools, it turns out that there is a pretty good compromise between higher performance and longer tool life.

20 inches per second per second, or
0.51m per second per second

your bit will think that you are coddling it like a wee little baby and not break as soon as it starts to move. This is especially important as the bit starts to get dull and cutting resistance increases. Of course, if you set the feedrate (F) too high, the rupture point will eventually be exceeded and the bit will break anyway, but more about this in a moment.

Feedrate and Spindle RPM

We consider the feedrate (FEED) and the spindle RPM (SPEED) together because, in the case of cutting soft materials like wood and plastic, it is their combination into a single parameter known as "CHIP LOAD" that matters the most. As the name suggests, chip load is the amount of material (load) each flute cuts during each revolution (every chip). Another way of looking at it is how far the bits chews into the material every time it rotates one full turn.

As the chip load increases (deeper penetration per revolution), the transverse stress on the tool increases. Clearly it is important to keep the stress below the breaking point of the tool. On the other hand, at very low chip loads, not much material is being cut so there is nothing to carry heat away from the bit. Below a certain limit, the tools gets too hot and abrasion rolls away the cutting edge, rendering the bit useless.

There is another aspect to chip load that is often overlooked. As the bit turns and starts to cut, material "flows" across the outside and inside faces of the cutting flutes. If this material "flow" is too high on the outer surface (low chip load) the cutting edge rounds over. It the material "flow" is too high on the inner surface (high chip load) the cutting debris cannot be evacuated quickly enough causing it to back up and pack. With nowhere to go, the impacted material seals off the flute and the bit breaks. When the outside and inside "flow rates" are balanced, edge erosion is symmetric and the bit stays sharper longer. We call this the "sweet spot"

What we need to do is find this magical point where feed and speed are balanced in such a way to provide optimum cooling, and balanced material flow to maintain the sharpness and integrity of the cutting edges. Happily, in the case of many soft materials, this is relatively simple to do. The figure below shows a simple pattern that can be used to derive the optimum machining parameters for any combination of wood and cutting tool.


The program is quite simple.

  1. A set of parallel slots 1" long are spaced apart 3 times the diameter of the bit that you are testing (S = 3 X Bit dia.)
  2. For a given RPM (SPEED), an initial feedrate (FEED) is chosen so that the bit cuts 0.0005" per revolution. For example, if your speed is 20,000 RPM then a feed of 10 IPM (inches per minute) will yield a full bit chip load of 0.0005"/rev. (just divide the feed by the speed).
  3. Plunge as deep as you intend to cut and make the first 1" slot.
  4. Pick up the tool, move to the top of next slot.
  5. Increase the feed by 1" (25mm) per minute.
  6. Cut the second slot.
  7. Pick up the tool, move to the top of next slot.
  8. Again increase the feed by 1" (25mm) per minute.
  9. Continue in this fashion until one of two things occurs.  Either the bit will break or the quality of the cut will markedly deteriorate.
  10. Whichever happens, stop the test and record the feedrate where the bit started to fail.
  11. Multiply this value by 0.75 to get the sweet spot for these cutting conditions.

Schematically the cut sequence would like something like:


"BREAK THE BIT? Are you out of your mind?" you scream. Well, maybe a little bit, but not in the way that you mean. The reason for this test is to show that the optimum cutting point is MUCH closer to bit breakage than it is to the point where the feed is so low that friction from the spinning  bit actually burns the wood.   The good news is that, once you have done this a couple of times with different diameters and a variety of materials, you will be able to calculate the approximate the sweet spot for any other bit / material combination. But that is a topic for another tutorial.



Todd Reith (Reith Guitars) offers a very valid objection to this testing scenario. He points out that lifting the tool between each cut does not accurately reflect the cutting dynamics encountered in most machining operations. He proposes the alternate cutting plan comprising:
  1. A set of parallel slots 1" long spaced apart 3 times the diameter of the bit that you are testing (S = 3 X Bit dia.)
  2. For a given RPM (SPEED), an initial feedrate (FEED) is chosen so that the bit cuts 0.0005" per revolution. For example, if your speed is 20,000 RPM then a feed of 10 IPM (inches per minute) will yield a full bit chip load of 0.0005"/rev. (just divide the feed by the speed).
  3. Plunge as deep as you intend to cut and make the first 1" slot.
  4. Cut to the right a distance equal to S.
  5. Increase the feed by 1" (25mm) per minute.
  6. Cut the second slot.
  7. Cut to the right a distance equal to S.
  8. Again increase the feed by 1" (25mm) per minute.
  9. Continue in this fashion until one of two things occurs.  Either the bit will break or the quality of the cut will markedly deteriorate.
  10. Whichever happens, stop the test and record the feedrate where the bit started to fail.
  11. Multiply this value by 0.75 to get the sweet spot for these cutting conditions.
The beauty of this method is that it more accurately models normal cutting modes, accounts for the heat that builds up as material is removed and the includes many of the variable stresses that the tool is exposed to.


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Copyright 2002-2008 Think & Tinker / PreciseBits    Updated March, 2008