Tula State University (Tula, Russia):

Yamnikov A. S., Dr. Eng., Prof., Chair of Machine-building Technology
Matveev I. A., Engineer, Post-Graduate, Chair of Machinebuilding Technology, e-mail: ivan_matveev@list.ru

NPO “Splav” (Tula, Russia):
Yamnikova O. A., Dr. Eng., Prof., 1^st category Specialist of risk management, e-mail: yamnikovas@mail.ru

JSC “Tulsky Oruzheiny Zavod” (Tula, Russia):
Chuprikov A. O., Cand. Eng., Head of Intellectual Property Department

The problem solved in the article is the theoretical and experimental determination of the elastic deformations of workpiece of hollow axially symmetric bodies when fastened in three-jaw chucks on lathes when boring holes. In order to reduce deformations, use is made of the claws of cartridges that cover the workpiece almost over the entire surface. The diameter of the base external cylindrical surface of the workpiece is not a constant value, it can fluctuate within the specified tolerance dimensional and, separately, within the tolerance for ovality. In this particular case, in order to eliminate the edge contact of the cams with the workpiece, the bore diameter was made 0.05 mm larger than the nominal diameter of the base surface of the workpiece makinguse of the. Mathematical modeling in the environment SOLID WORKS obtained were the values of elastic deformations at the maximum calculated force of the workpiece clamping. The simulation showed that under the design conditions the elastic deformations have the form of a «trihedral» and range from 0.0333 to 0.0485 mm. To determine the elastic deformations, a special experiment was set up on the machine. The billet was placed in a cartridge and pre-aligned. An indicator was placed on the machine bed, the tip of which touched the inner surface of the workpiece. Turning the spindle with the workpiece, fixed the deviations of the indicator needle, which judged the errors of the position of the points of the real surface relative to the axis of the spindle. Processing of the obtained data by the method of least squares with the help of the mathematical package MathCAD made it possible to calculate the radius and coordinates of the center of the complete reduced circle. Then the workpiece was clamped and the measurements were repeated. The effect of thickness variation, consisting in the difference in the displacement of the center of the full reduced circumference relative to the center of the spindle was revealed, at that, in the clamped state the diameter of the workpiece decreases by a mean of 0.05 mm, and the center of the total reduced circumference was further displaced by approximately 0.04 mm.
The results of this research are published with the financial support of Tula State University within the framework of the scientifi c project No. 8701.

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