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1

Thermoelastic wheel-rail contact problem for a multi-layer structure

Chudzikiewicz A., Myśliński A.

Vibrations in Physical Systems

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2014

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Vol. 26

41--48

EN

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.

2

Rolling contact problems with nonhomogeneous materials

Chudzikiewicz A., Myśliński A.

Vibrations in Physical Systems

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2012

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Vol. 25

103--108

EN

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.

3

Effect of composite ingredients on vibration frequencies of plates made of functionally graded material

Wirowski A.

Civil and Environmental Engineering Reports

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2010

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No. 5

165-177

EN

The subject of this paper are thin plates with characteristic material structure: periodic in selected direction and smoothly varying along another. The aim of the contribution is to formulate and apply averaged model describing the free vibrations of these plates. Modelling procedure is based on the tolerance averaging technique (TAT). We analyze the plate in the rectangular as well as in the cylindrical coordinate systems, respectively. We are to obtain numerical solutions of this problem, using finite difference method, and to analyze the interrelation between the ingredients distribution and the first frequency of free vibrations of these plates. The presented general results are illustrated by the analysis of natural frequencies for two cases of plates: a plate band and an annular plate.

PL

Przedmiotem niniejszej pracy są płyty cienkie posiadające charakterystyczną geometrię: periodyczną w jednym kierunku i zmieniającą się w sposób płynny w drugim. Celem rozważań jest zbudowanie modelu uśrednionego opisującego dynamiczne zachowanie tego typu płyty. Procedura modelowania jest oparta na technice tolerancyjnego uśredniania zaprezentowanej w pracy Woźniaka i Wierzbickiego [10]. Wyprowadzone równania modelu płyty są zapisane w układzie biegunowym dla płyty pierścieniowej oraz w układzie kartezjańskim dla przypadku pasma płytowego. Następnie zostało zaprezentowane rozwiązanie numeryczne za pomocą metody różnic skończonych oraz przeanalizowano wpływ udziału składników kompozytu na pierwszą częstość drgań własnych płyty.