Controllability and stability capacity of a roll pair motion research
Abstract
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
Downloads
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.
Copyright (c) 2022 Kakhramonjon Khusanov

This work is licensed under a Creative Commons Attribution 4.0 International License.
Our journal abides by the Creative Commons CC BY copyright rights and permissions for open access journals.
Authors, who are published in this journal, agree to the following conditions:
1. The authors reserve the right to authorship of the work and pass the first publication right of this work to the journal under the terms of a Creative Commons CC BY, which allows others to freely distribute the published research with the obligatory reference to the authors of the original work and the first publication of the work in this journal.
2. The authors have the right to conclude separate supplement agreements that relate to non-exclusive work distribution in the form in which it has been published by the journal (for example, to upload the work to the online storage of the journal or publish it as part of a monograph), provided that the reference to the first publication of the work in this journal is included.