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Mathematical modelling and description of friction and temperature phenomena in inking unit of the offset printing machine

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Piętak Z. M. , Pyryev Y.

2011

tom Vol. 2, no. 1

41--44

In this paper a proposition of mathematical formula of the temperature distribution caused by friction phenomena in the cylinder/cylinder contact in the inking unit of the offset printing machine is presented. In the inking unit there are pairs of wheeling inking rollers, one of which is made of steel and the second one has got a rubber layer outside. The steel roller besides the circular motion moves reciprocating along the cylinder pivot. The measurements made during the tests in the various research centres have shown that the inking rollers’ temperature increases during the work of the offset printing machine. Some derivative heat equations are applied to the case study and are solved.

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

100%

Piętak Z. M. , Pyryev Y.

tom Vol. 36, No. 3

72-80

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.