Method for determining the rotation directions of the elements of the painting and printing system

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Давидкін М. І. № 2 (71) 277-283 Image Image

Offset printing technology is widely used for mass production of printed materials. Most printed materials, from labels to catalogs, are created using this method. The design of ink printing systems in offset machines is technically complex and multi-component. The composition and number of elements in the ink printing system vary significantly for different models of offset machines. Simulation modeling is used to analyze the processes that occur in ink printing systems. Building simulators to simulate the printing process requires significant labor and time. An important parameter in the construction of such simulators is the length of the arcs at the points of contact between the elements of the ink printing system. In order to automate the process of constructing simulation models of ink printing systems, a method for determining the directions of rotation of rollers and cylinders has been developed in this work. The input array with the coordinates and dimensions of the rollers and cylinders is obtained from a schematic representation of the ink printing system. The directions of rotation of the elements are determined by the principle of mechanical transmission through contact. The contact of the circles is determined using the Euclidean distance level. When two circles are in direct contact, their directions of rotation must be opposite. It is assumed that the direction of rotation of the first element in the system is counterclockwise, then the direction of the next (transmitting roller) is clockwise, and the directions of the subsequent elements of the system are determined by the width bypass method. The results obtained can be used to determine the sequence and orientation of the arc segments between the contact points of the elements of the ink printing system.

Keywords: offset printing, ink printing system, simulation modeling, algorithm, breadth-first search, open-cv.

doi: 10.32403/1998-6912-2025-2-71-277-283


  • 1. Verkhola M. I., Babych O. Je., Kachur R. R., Davydkin M. I. Modeljuvannja ta doslidzhennja vplyvu velychyny rozcheplennja farby v riznykh pozycijakh zon kontaktu valykiv i cylindriv na tochnistj farbodrukarsjkoji systemy. Komp’juterni tekhnologhiji drukarstva. Ukrajinsjka akademija drukarstva, m. Ljviv: 2023/1(49), s. 8-21. (in Ukrainian).
  • 2. Verkhola M. I., Ghuk I. B., Kalytka M. I. Modeljuvannja ta doslidzhennja vplyvu roztyraljnykh cylindriv na rozpodil potokiv farby u farbodrukarsjkij systemi rozghaluzhenoji struktury. Polighrafija i vydavnycha sprava. Ukrajinsjka akademija drukarst-va, m. Ljviv: 2019/2(78), s. 16-26. (in Ukrainian).
  • 3. Verkhola M. I., Kalytka M. I. Modeljuvannja ta analiz vplyvu tekhnologhichnykh parametriv na rozpodil ob’jemiv potokiv farby u farbodrukarsjkij systemi poslidov-no-paraleljnoji struk­tury. Modeljuvannja ta informacijni tekhnologhiji. zb. nauk. pr. IPME im. Gh.Je. Pu­khova NAN Ukrajiny, 88, s. 225–242. (in Ukrainian).
  • 4. Kachur R. R., Davydkin M. I. Rozroblennja informacijnoji systemy dlja rozpiznavannja elementiv rozkochuvaljno-nakochuvaljnoji ghrupy farbovoji pidsystemy. Komp’juterni tekh­no­loghiji drukarstva. Ukrajinsjka akademija drukarstva, Ljviv: 2024/2(52), s. 38-49. (in Ukrainian).
  • 5. Aliyev E., Khanbabaeva M. Discrete model of the inking apparatus of offset printing machine. Print Media Technol. 2023. Vol. 4 (12). pp. 167–175. URL: https://doi.org/10.14622/JPMTR-2314.
  • 6. The printing and printed packaging market in Poland - The market for printing and printed products in Ukraine. Warsaw: Scientific and Educational Publishing House of the Polish Lib­rarians’ Association, 2024. 389 pp. ISBN 978-83-67723-15-2.
  • 7. What is offset printing?. Ordant. URL: https://ordant.com/what-is-offset-printing/ (date of reference: 01.10.2025).