|

Optimization of the transfer function of a piston compressor according to technological criteria

Authors: Solovyova V.V.
Published in issue: #4(33)/2019
DOI: 10.18698/2541-8009-2019-4-468


Category: Mechanical Engineering and Machine Science | Chapter: Machine Science, Drive Systems, and Machine Components

Keywords: piston compressor, slider-crank mechanism, error, generalized coordinate, transfer function, accuracy grade, vector contour, standard deviation
Published: 30.04.2019

The transfer function of the slider-crank mechanism is considered and the effect of link lengths on its changes is studied. Using the method of projections of the vector contour, the function of the position of the output link (piston) is obtained. The influence of the geometric parameters of the links (length) on the transfer function obtained by differentiation along the generalized coordinate is investigated. The set of values of the standard deviations found by changing the nominal lengths of the mechanism and, as a result, changing the values of the initial transfer function is determined. From this set is composed a surface reflecting the nature of the influence of both links on the change in the transfer function. By analyzing the surface, rational values of the accuracy grade of crank and connecting rod lengths were obtained, which were the minimum necessary, but completely sufficient.


References

[1] Podchasov E.O., Terent’yeva A.D. Accuracy analysis of earthworks performed by shovel working mechanism. Inzhenernyy zhurnal: nauka i innovatsii [Engineering Journal: Science and Innovation], 2017, no. 8. DOI: 10.18698/2308-6033-2017-8-1654 URL: http://engjournal.ru/catalog/mesc/msds/1654.html (in Russ.).

[2] Shishov V.V. Search of methods for raising piston compressor efficiency. Kholodil’naya tekhnika, 2013, no. 6, pp. 9–11 (in Russ.).

[3] Aymetdinov B.I., Syzrantsev V.N., Chernaya L.A. Calculation of the generating lines of working surfaces of conical screw compressors. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [Proceedings of Higher Educational Institutions. Маchine Building], 2014, no. 8, pp. 44–51. DOI: 10.18698/0536-1044-2014-8-44-51 URL: http://izvuzmash.ru/catalog/calcmach/hidden/950.html (in Russ.).

[4] Limorenko M.E., Podchasov E.O., Terent’yeva A.D. Increase in accuracy of automatic control of vital parts. Inzhenernyy zhurnal: nauka i innovatsii [Engineering Journal: Science and Innovation], 2017, no. 6. DOI: 10.18698/2308-6033-2017-6-1626 URL: http://engjournal.ru/catalog/mesc/idme/1626.html (in Russ.).

[5] Barbashov N.N., Lopatina A.S., Podchasov E.O. Increasing accuracy of precision parts control. Privody i komponenty mashin [Machine drives and parts], 2015, no. 4-5(17), pp. 14–17 (in Russ.).

[6] Barbashov N.N., Limorenko M.E., Terent’yeva A.D. Improving accuracy of processing through active control. Mashiny i ustanovki: proektirovanie, razrabotka i ekspluatatsiya [Machines and Plants: Design and Exploiting], 2016, no. 5, pp. 33–45. DOI: 10.7463/aplts.0516.0848198 URL: https://maplants.elpub.ru/jour/article/view/50 (in Russ.).

[7] Baryshnikova O.O., Boriskina Z.M. Solution of kinematics problems by analytical method by using MathCAD system. Izvestiya Tul’skogo gosudarstvennogo universiteta. Tekhnicheskie nauki [News of the Tula state university. Technical sciences], 2014, no. 11-2, pp. 495–501 (in Russ.).

[8] Baryshnikova O.O., Boriskina Z.M., Shubin A.A. Analytical solution of problems kinematics of linkage mechanisms with the use of MathCAD. Izvestiya Tul’skogo gosudarstvennogo universiteta. Tekhnicheskie nauki [News of the Tula state university. Technical sciences], 2016, no. 7-1, pp. 49–58 (in Russ.).

[9] Shtorm R. Teoriya veroyatnostey. Matematicheskaya statistika. Statisticheskiy kontrol’ kachestva [Probability theory. Mathematical statistics. Statistical quality control]. Moscow, Mir Publ., 1970 (in Russ.).

[10] Barbashov N.N., Terent’yeva A.D., Timofeev G.A. Statistical methods of control of technological processes. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [Proceedings of Higher Educational Institutions. Маchine Building], 2016, no. 12, pp. 58–65. DOI: 10.18698/0536-1044-2016-12-58-65 URL: http://izvuzmash.ru/catalog/tpmachines/hidden/1373.html (in Russ.).