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.
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