How to make any morse taper on a lathe

It is shown how you can turn any Morse taper without a reference taper. When turning cones using the indicator roll-in method, an internal cone in the lathe spindle is used.
Moreover, you can carve any other cone.
The reference cone is not needed at all.
To sharpen any other taper other than the taper in the spindle, when running in on the indicator, it is necessary to achieve the calculated deviation of the indicator arrow. The video shows how to calculate quickly and easily.
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Lathe MN-80. Modernization":
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Known and widely used is a method of turning cones with rolling in a reference cone using an indicator.
For turning cones, I used a different method. Instead of the reference cone, he took the body of the lathe chuck for the base and calculated the sine of the angle of the cone, what should be the deviation of the indicator arrow. This is shown in the video
"How to carve a MORSE CONE on a lathe:
• Как выточить КОНУС МОР...
The problem with turning Morse tapers is that their angles are specified with an accuracy of seconds, and for lathes, the counting scale has a graduation value of 1 °. And with it, you cannot turn the upper slide with an accuracy of minutes and seconds. But on the machine it is possible to make accurate feed by limbs and make accurate measurements by the indicator.
Therefore, the angle can be provided indirectly by specifying linear values.
With such a run-in - along the cartridge body - it is necessary to withstand the calculated deviation of the indicator, not zero, as in the usual run-in of the reference cone.
From my own experience, I was convinced that turning cones based on the chuck body provides good accuracy, good adhesion to the paint. Check out the Turning Taper Playlist:
• Точение конуса на тока...
And now I propose to use not the chuck body as a base, but the inner cone in the spindle.
Because, firstly, the inner cones of the machines are made with high precision. And their axes coincide with the axes of the spindles, too, with high precision. And secondly, the inner tapers are usually in better condition compared to the outer chuck body and tool shanks. That's why I decided to use a taper in the spindle.
If you need to sharpen the same taper as in the spindle, you need to turn the upper slide so that the deviation of the indicator arrow is zero.
And if you need to sharpen any other taper, other than the taper in the spindle, with a different angle, the deflection of the indicator should not be equal to zero.
The deviation of the indicator can be determined graphically and analytically.
Graphically made in the KOMPAS program. The example shows how to determine the indicator deviation when turning KM4 on the MN-80 machine, which has a 1:20 metric taper in the spindle.
When the indicator moves along the base cone, it is necessary to ensure that the indicator deviates by an amount equal to 0.0377 = 0.038 mm with a 39 mm indicator stroke.
This will mean that the cutter will move at an angle for KM4 - 1 ° 29´15 ".
Determined graphically the values ​​of the indicator deviations for different Morse cones. The data are shown in the table.
The deviation of the indicator can be calculated analytically using a simple formula:
Δ = (Sin β - Sin α) × L.
In this formula
α - the angle of the taper in the spindle, taken as the base,
β is the angle of the cone to be sharpened,
L is the length of the indicator stroke.
The table shows the angles for different cones and their sinuses.
Examples of calculation are given. One example: in the spindle the taper is 1:20, but you need to sharpen KM4. Another example: there is a KM4 cone in the spindle, but KM3 needs to be sharpened.
It is shown that the calculation by the approximate formula is quite accurate.
The difference for different methods of determining the deviation is tenths of a micron. And according to GOST 2849-94 for the calibers of Morse cones, these deviations are allowed in units of microns.
It is shown how I sharpened KM4 on the MN-80 machine, which has a 1:20 metric cone in the spindle. After grinding, I checked the cone against the paint by inserting it into the spindle cone of the indexing device. The fit is good.