Published August 31, 2020 | Version v1
Journal article Open

DEVELOPMENT OF A TECHNIQUE FOR THE GEOMETRICAL MODELING OF CONJUGATED SURFACES WHEN DETERMINING THE GEOMETRICAL PARAMETERS OF AN ENGAGEMENT SURFACE CONTACT IN KINEMATIC PAIRS

  • 1. Military Academy
  • 2. National University "Odessa Maritime Academy"

Description

This paper reports a technique for constructing a geometric shape of the surface of contact between the interacting conjugated machine elements using computer technology. A subprogram has been developed in the MATLAB software package.

The comprehensive solution to such problems is a certain scientific challenge and is of great importance when designing the kinematic pairs in mechanical engineering. The main systemic drawback in the construction of complex mechanisms is that the design process does not take into consideration the geometric characteristics of the contact spatial engagement surface in the screw kinematic pairs. As a result, during the manufacture of a kinematic pair, conventionally designed structural elements demonstrate defects that shorten their lifespan. Solving the set task could reduce the time to design toothing, cutting tools, would ensure the required estimation and graphic accuracy, as well as improve the efficiency of the manufacture of parts.

The study of existing procedures for designing screw conjugated surfaces has made it possible to note their unsatisfactory compliance with modern design requirements. Therefore, the manufacture of a kinematic pair that provides for technological accuracy implies the assignment of the curvilinear shapes for a contact spatial engagement surface under the predefined conditions.

The proposed geometric technique for determining the shape of a contact spatial surface of the kinematic pairs of toothing and cutting tools could make it possible to design and manufacture components and mechanisms with the required accuracy

Files

Development of a technique for the geometrical modeling of conjugated surfaces when determining the geometrical parameters of an engagement surface contact in kinematic pairs.pdf

Additional details

References

  • Podkorytov, A. N. (2007). Metod formirovaniya sopryazhennyh vintovyh nelineychatyh poverhnostey semeystvom ogibayushchih gelikoidov. Heometrychne ta kompiuterne modeliuvannia, 12–15.
  • Havrylenko, Y., Kholodniak, Y., Vershkov, O., Naidysh, A. (2018). Development of the method for the formation of one-dimensional contours by the assigned interpolation accuracy. Eastern-European Journal of Enterprise Technologies, 1 (4 (91)), 76–82. doi: https://doi.org/10.15587/1729-4061.2018.123921
  • Lyu, D., Liu, Q., Liu, H., Zhao, W. (2019). Dynamic error of CNC machine tools: a state-of-the-art review. The International Journal of Advanced Manufacturing Technology, 106 (5-6), 1869–1891. doi: https://doi.org/10.1007/s00170-019-04732-9
  • Abdel-Baky, R. A., Al-Ghefari, R. A. (2012). On the kinematic geometry of relative screw motions. Journal of Mechanical Science and Technology, 26 (8), 2497–2503. doi: https://doi.org/10.1007/s12206-012-0624-z
  • Chen, Q., Zhu, S., Zhang, X. (2015). Improved Inverse Kinematics Algorithm Using Screw Theory for a Six-DOF Robot Manipulator. International Journal of Advanced Robotic Systems, 12 (10), 140. doi: https://doi.org/10.5772/60834
  • Li, Y., Wei, W., Su, D., Wu, W., Zhang, J., Zhao, W. (2020). Thermal characteristic analysis of ball screw feed drive system based on finite difference method considering the moving heat source. The International Journal of Advanced Manufacturing Technology, 106 (9-10), 4533–4545. doi: https://doi.org/10.1007/s00170-020-04936-4
  • Vasil'ev, A. S., Goncharov, A. A. (2019). Special strategy of treatment of difficulty-profile conical screw surfaces of single-screw compressors working bodies. Journal of Mining Institute, 235 (1), 60–64. doi: https://doi.org/10.31897/pmi.2019.1.60
  • Cieśliński, J. L., Moroz, L. V., Walczyk, C. J. (2015). Fast exact digital differential analyzer for circle generation. Applied Mathematics and Computation, 271, 68–79. doi: https://doi.org/10.1016/j.amc.2015.08.104
  • Zhang, X., Zhang, J., Pang, B., Wu, D., Zheng, X., Zhao, W. (2016). An efficient approach for milling dynamics modeling and analysis with varying time delay and cutter runout effect. The International Journal of Advanced Manufacturing Technology, 87 (9-12), 3373–3388. doi: https://doi.org/10.1007/s00170-016-8671-8
  • Nevlyudov, I. Sh., Velikodnyy, S. S., Omarov, M. A. (2010). Usage CAD/CAM/CAE/CAPP at formation of controlling programs for machine tools with CNC (computer numerical controlled). Eastern-European Journal of Enterprise Technologies, 2 (2 (44)), 37–44. Available at: http://journals.uran.ua/eejet/article/view/2621/2427
  • Yang, X., Seethaler, R., Zhan, C., Lu, D., Zhao, W. (2019). A Novel Contouring Error Estimation Method for Contouring Control. IEEE/ASME Transactions on Mechatronics, 24 (4), 1902–1907. doi: https://doi.org/10.1109/tmech.2019.2928791
  • Yang, J., Altintas, Y. (2015). A generalized on-line estimation and control of five-axis contouring errors of CNC machine tools. International Journal of Machine Tools and Manufacture, 88, 9–23. doi: https://doi.org/10.1016/j.ijmachtools.2014.08.004
  • Ismailova, N. P. (2015). Parametric identification characteristics conjugated kvazihvyntovyh surfaces, which eliminates interference. Naukovi notatky, 48, 91–93. Available at: http://nbuv.gov.ua/UJRN/Nn_2015_48_19