Analysis of the Mathematical Model of the Temperature Phenomenon through the Friction in Inking Unit of the Offset Printing Machine

• Autorzy: Piętak Z. M. , Pyryev Y.
• Języki publikacji: EN

Abstrakty

EN

Presented paper is a continuation of issues undertaken and presented in 2010 at a conference Friction 2010. The previously proposed mathematical description of the temperature distribution caused by friction in contact between two rotating inking rollers, one of which moves also reciprocating along the roller pivot and conditions of stationary solution form the basis for the presented here solutions for the non-stationary conditions. The geometry of the rollers motion was taken into account. The solution in form of the Laplace transformer were obtained and analyzed using the Laplace transform method to a system of two equations of heat conduction with boundary conditions taking into account the real processes taking place in the inking unit in contact zones. The analysis showed that the transform does not have branch points. This feature is of great importance for the solution of the problem.

Słowa kluczowe

EN

mathematical model; temperature; friction; inking roller; rollers; Laplace transform

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Research
• Rocznik: 2012
• Tom: Vol. 36, No. 3
• Strony: 72--80
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Piętak Z. M.

• Warsaw University of Technology. Institute of Mechanics and Printing

autor

Pyryev Y.

• Warsaw University of Technology. Institute of Mechanics and Printing

Bibliografia

• 1. Abramowitz, M, Stegun, I. (ed.), 1965, Handbook of mathematical functions: with formulas, graphs, and mathematical tables, Dover Publications Inc., New York.
• 2. Blok, H., 1940, Fundamental mechanical aspects of boundary lubrication, S.A.E. J., 40,2, 54-68.
• 3. Carslaw, H.S., Jaeger, J.C., 1959, Conduction of heat in solids, Oxford, Clarendon Pres.
• 4. Jurkiewicz, A., Krzyżkowski, J., Piętak, Z., Pyryev, Y., 2011, Modeling of selected phenomena which occur in offset printing presses, in: Scientific basis of modern technologies: experience and prospects, Shalapko Y.I., Dobrzański L.A., Jaremche, 154-168.
• 5. Piętak, Z.M., Pyryev, Y., 2011, Mathematical modelling and description of friction and temperature phenomena in inking unit of the offset printing machine, Challenges of Modern Technology, Warsaw University of Technology, PhD Students Board, 2, No 1, 41-44.
• 6. Pyryev, Y., Piętak, Z.M., 2010, Mathematical modelling and description of the friction phenomena in the inking units of the offset printing machine (original title in Polish: Modelowanie i opis matematyczny zjawisk tarciowych w zespole farbowym offsetowej maszyny drukującej), VI International Conference “Friction 2010” - Modelling and Simulation of the Friction Phenomena in the Physical and Technical Systems, Warszawa, 111-116.
• 7. VanSant, J.H., 1980, Conduction heat transfer solutions, Lawrence Livermore National Laboratory, Livermore, CA.