DOI: https://doi.org/10.20535/2521-1943.2018.83.125250

### The mathematical representation of the thread profile made with crop-to-size tool

S. S. Nekrasov, D. O. Zhyhylii, D. A. Pylypiv

#### Abstract

The paper is concerned with a mathematical representation of the thread profile obtained by mechanical crop-to-size tooling method on a computer numerical controlled (CNC) mill machine that has maximal output of a large pitch of a screw thread and small diameters.
Further research is aimed at the possible mathematical formulation of the gained thread profile, since graphic methods for profile constructing are the only known by rounding method, which in turn expands the design possibilities when it is necessary to create screw surfaces with a large step
The use of this dependence provides an opportunity to assess the screw thread profile obtained by this method. The conducted study determines the deviation of the formed surface profile from a given thread profile. The thread profile parameter and the parameters of the shape-generating point trajectory, having the major influence on the deviation value, are determined.

#### Keywords

internal thread; crop-to-size tool; major deviation, screw thread profile; mechanical operation; rounding method

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#### References

Nekrasov, S.S., Kryvoruchko, D.V. and Neshta, A.O. applicant and patentee Sumy State University - № a201214037 (2013), Sposіb obrobki krugloї vnutrіshnoї rіzbi [A method of processing a rope inner thread], NKI, Kyiv, Ukraine, Pat. 103734.

Nekrasov, S.S. and Ageeva, Е.А. (2016), “Adjusting the size of the rope thread in the machining of dimensional tool”, Journal of Engineering Sciences, Vol. 3, no. 1, pp. 34–37.

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Neshta, A.A. and Krivoruchko, D.V. (2016), “Special aspects of machining of internal threads by measure tool”, Journal of Engineering Sciences, vol. 3, no. 2, pp. 20– 24.

Neshta, A.A. (2017), “Assurance of perfection factors for rope internal threads when machining in a efficient method”, Mechanics and Advanced Technologies, vol. 81, no. 3, pp. 10 – 20, DOI: https://doi.org/10.20535/2521-1943.2017.81.107026

DIN (2014), 20317: Rock drilling - Round thread connections for percussive drilling equipment - Dimensions, design.

Mazur, N.P., Vnukov, U.N. and Grabchenko, A.I. (2013), Osnovy teorii rezanija, in Mazur, N.P., Grabchenko, A.I.(ed.), 2 nd ed., NTU “HPI”, Kharkov, Ukraine.

Sandström, R. (2000), Thread coupling for a drill string for percussive rock drilling, Patent WO 2000019056.

Berglind, L. and Ziegert, J. (2015), Modulated Tool Path (MTP) “Machining for Threading Applications”, Procedia Manufacturing, 43rd Proceedings of the North American Manufacturing Research, vol. 1, pp. 546-555, doi: 10.1016/j.promfg.2015.09.029

Fromentin, G., Döbbeler, B. and Lung, D. (2015), “Computerized Simulation of Interference in Thread Milling of Non-Symmetric Thread Profiles”, Procedia CIRP, 15th CIRP Conference on Modelling of Machining Operations, vol. 31, pp. 496-501, doi: 10.1016/j.procir.2015.03.018

Zhang, Y.Q. and dr. (2017), “Development of gas-tight threads based on API round threads and its evaluation”, Natural Gas Industry B, vol. 4, no. 6, pp. 463-469, https://doi.org/10.1016/j.ngib.2017.09.008

#### GOST Style Citations

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8. Patent WO 2000019056 (2000), Thread coupling for a drill string for percussive rock drilling. Sandström R.
10. Berglind, L. and Ziegert, J. (2015), Modulated Tool Path (MTP) “Machining for Threading Applications”, Procedia Manufacturing, 43rd Proceedings of the North American Manufacturing Research, Vol. 1, PP. 546-555, doi: 10.1016/j.promfg.2015.09.029
11. Fromentin, G., Döbbeler, B. and Lung, D. (2015), “Computerized Simulation of Interference in Thread Milling of Non-Symmetric Thread Profiles”, Procedia CIRP 31, 15th CIRP Conference on Modelling of Machining Operations, vol. 31. pp. 496-501, doi: 10.1016/j.procir.2015.03.018
12. Zhang, Y.Q. and dr. “Development of gas-tight threads based on API round threads and its evaluation”, Natural Gas Industry B (2017), vol. 4, no. 6, pp. 463-469 https://doi.org/10.1016/j.ngib.2017.09.008

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