This paper undertakes the problem of the calculation of contact area between two rollers which are compressed to each other. The relative displacement of the axes of the rollers is also determined. The calculations were made by means of the finite element method (FEM). The FEM analyses were carried out with the use of five 3D numerical models of two rollers. The individual models differ one from the other with the boundary conditions and geometry. The obtained results are comparable to the ones achieved by other authors. However, in some cases they indicate an improper approach to the problem presented in other papers. The methodology shown in this paper will be applied in the calculation of the contact area between two rollers of a printing machine. It will be also possible to calculate the relative displacement of the rollers. The rollers are modelled as elastic media.
PL
W pracy podjęto zagadnienie obliczania pola kontaktu pomiędzy dwoma dociskanymi do siebie cylindrami. Określono także wzajemne przemieszczenie osi cylindrów. Obliczenia wykonano za pomocą metody elementów skończonych (MES). Analizy MES wykonano na pięciu trójwymiarowych modelach numerycznych dwóch cylindrów. Poszczególne modele różnią się od siebie warunkami brzegowymi i geometrią. Otrzymane wyniki są porównywalne z wynikami uzyskanymi przez innych autorów, jednakże w niektórych przypadkach wskazują one na niewłaściwe podejście do zagadnienia prezentowane w innych pracach. Metodologia przedstawiona w niniejszej pracy będzie zastosowana do obliczenia powierzchni kontaktu między cylindrami maszyny drukującej. Możliwe będzie także obliczenie wzajemnego przemieszczenia tych cylindrów. Cylindry zamodelowano jako ośrodki sprężyste.
Wheel-rail thermoelastic contact problem is analysed and numerically solved in the paper. The surface of the rail is assumed to consist from layers having distinct constant material parameters and a functionally graded material layer between. Thermal and mechanical properties of the graded layer are dependent on its depth rather than constant as it is considered in the literature. Numerous laboratory experiments indicate that graded materials layers or coatings covering the conventional steel body can reduce the magnitude of contact and/or thermal stresses as well as the noise and the rolling contact fatigue. The contact phenomenon includes friction as well as frictional heat generation and wear. Quasistatic numerical approach is used to solve numerically this contact problem. Numerical results are provided and discussed.
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Numerous laboratory experiments indicate that graded materials layers or coatings covering the conventional steel body can reduce the magnitude of contact and/or thermal stresses as well as the noise and the rolling contact fatigue. The paper is concerned with the numerical solution of the wheel-rail elastic contact problem assuming that the surface of the rail consists from layers having distinct constant material parameters and a functionally graded material layer between them which mechanical properties are dependent on its depth. The contact phenomenon includes friction as well as wear. Quasistatic numerical approach is used to solve numerically this problem. Numerical results are provided and discussed.
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