Published May 31, 2022 | Version v1
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Controllability and stability capacity of a roll pair motion research

Authors/Creators

  • 1. National Research University "Tashkent Institute of Irrigation and Agricultural Mechanization Engineers"

Description

The process of deriving the equation of the perturbed motion of a roll pair during the processing of leather material is discussed in the article, taking into account the influence of dynamic factors. It is shown that one of the reasons for the unstable stress state on the contact surfaces in the roller mechanism are dynamic factors arising from inaccuracies in the manufacture of its individual parts, assembly defects, and the occurrence of an oscillatory process in the roller mechanism, as well as due to the non-uniform thickness of the processed material at its gripping during starting and stopping the machine. Methods for determining optimal controls are shown; they provide asymptotic stability of the unperturbed motion of a roll pair and the torque applied to the upper roll as a function of generalized coordinates.It is shown that the width of the contact strip of the clamp, which depends on the radii of the rolls and the hardness of the coatings, has a significant effect on the efficiency of the rolls. The larger the shaft radius, the lower the actual pressure per unit contact area. It is shown that the squeezing efficiency increases with the improvement of the conditions for the removal of the squeezable liquid from the rolls (with their horizontal arrangement), with an increase in its temperature and a decrease in viscosity. Efficiency decreases with increasing material speed and thickness. It is shown that the width of the contact strip of the clamp, which depends on the radii of the shafts and the stiffness of the coatings, has a significant impact on the efficiency of the shafts. The larger the shaft radius, the lower the actual pressure per unit contact area

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References

  • Burmistrov, A. G. (2006). Machines and apparatus for the production of leather and fur. Moscow: Kolos, 384.
  • Bakhadirov, G. A. (2010). The mechanics of a squeezing roll pair. Tashkent: "Fan", 166.
  • Danylkovych, A., Bilinskiy, S., Potakh, Y. (2018). Plasticification of leather semifinished chrome tanning using biocatalitic modifier. EUREKA: Physics and Engineering, 1, 12–18. doi: https://doi.org/10.21303/2461-4262.2018.00527
  • Amanov, A., Bahadirov, G., Amanov, T., Tsoy, G., Nabiev, A. (2019). Determination of Strain Properties of the Leather Semi-Finished Product and Moisture-Removing Materials of Compression Rolls. Materials, 12 (21), 3620. doi: https://doi.org/10.3390/ma12213620
  • Bahadirov, G., Tsoy, G., Nabiev, A. (2021). Study of the efficiency of squeezing moisture-saturated products. EUREKA: Physics and Engineering, 1, 86–96. doi: https://doi.org/10.21303/2461-4262.2021.001606
  • Amanov, A. T., Bahadirov, G. A., Tsoy, G. N., Nabiev, A. M. (2021). A New Method to Wring Water-Saturated Fibrous Materials. International Journal of Mechanical Engineering and Robotics Research, 151–156. doi: https://doi.org/10.18178/ijmerr.10.3.151-156
  • Bahadirov, G. A., Nosirov, M. I. (2022). Research and Analysis of Rational Parameters for a Conveying Mechanism of a Multi-operation Roller Machine. Proceedings of the 7th International Conference on Industrial Engineering (ICIE 2021), 154–165. doi: https://doi.org/10.1007/978-3-030-85233-7_18
  • Bahadirov, G. A., Rakhimov, F. R. (2022). Analysis of the Relationship Between the Transfer of the Mechanism of the Multi-operating Machine. Proceedings of the 7th International Conference on Industrial Engineering (ICIE 2021), 213–220. doi: https://doi.org/10.1007/978-3-030-85233-7_25
  • Khurramov, S. R., Bahadirov, G. A. (2021). To the solution problems of contact interaction in a two-roll module. Journal of Physics: Conference Series, 1889 (4), 042029. doi: https://doi.org/10.1088/1742-6596/1889/4/042029
  • Bahadirov, G. A., Sultanov, T. Z., Abdukarimov, A. (2020). Kinematic analysis of tooth-lever differential transmission mechanisms. IOP Conference Series: Earth and Environmental Science, 614 (1), 012101. doi: https://doi.org/10.1088/1755-1315/614/1/012101
  • Bahadirov, G., Ravutov, S., Abdukarimov, A., Toshmatov, E. (2021). Development of the methods of kinematic analysis of elliptic drum of vertical-spindle cotton harvester. IOP Conference Series: Materials Science and Engineering, 1030, 012160. doi: https://doi.org/10.1088/1757-899x/1030/1/012160
  • Khusanov, K. (2021). Selecting Control Parameters of Mechanical Systems with Servoconstraints. E3S Web of Conferences, 264, 04085. doi: https://doi.org/10.1051/e3sconf/202126404085
  • Bakhadirov, G. A., Khusanov, K. (2007). Determination of the controllability of the movement of a roll pair. Ministry of Education and Science of Ukraine. Sevastopol National Technical University. Technical University. Lublin. "Automation: problems, ideas, solutions" Proceedings of the international scientific and technical conference. Sevastopol, 174–177.
  • Malkin, I. G. (1966). Theory of motion stability. Moscow: Nauka, 530.
  • Merkin, D. R. (1974). Gyroscopic systems. Moscow: Nauka, 334.
  • Krasovskiy, N. N. (1968). Theory of motion control. Moscow: Nauka, 475.
  • Gabriellan, M. S. (1964). On the stabilization of unstable motions of mechanical systems. Journal of Applied Mathematics and Mechanics, 28 (3), 604–614. doi: https://doi.org/10.1016/0021-8928(64)90101-7
  • Gabrielian, M. S., Krasovskii, N. N. (1964). On the problem of the stabilization of a mechanical system. Journal of Applied Mathematics and Mechanics, 28 (5), 979–990. doi: https://doi.org/10.1016/0021-8928(64)90001-2
  • Khusanov, K. (2020). Stabilization of mechanical system with holonomic servo constraints. IOP Conference Series: Materials Science and Engineering, 883 (1), 012146. doi: https://doi.org/10.1088/1757-899x/883/1/012146
  • Gantmakher, F. R. (2010). Matrix Theory. Moscow: Fizmatlit, 560.