Regular and chaotic motion of a bush-shaft system with tribological processes
The methods of both analysis and modeling of contact bush-shaft systems exhibiting heat generation and wear due to friction are presented [3–5]. From the mathematical point of view, the considered problem is reduced to the analysis of ordinary differential equations governing the change of velocitie...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2006-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/MPE/2006/86594 |
| Summary: | The methods of both analysis and modeling of contact bush-shaft
systems exhibiting heat generation and wear due to friction are
presented [3–5]. From the mathematical point of view, the
considered problem is reduced to the analysis of ordinary
differential equations governing the change of velocities of the
contacting bodies, and to the integral Volterra-type equation
governing contact pressure behavior. In the case where
tribological processes are neglected, thresholds of chaos are
detected using bifurcation diagrams and Lyapunov exponents
identification tools. In addition, analytical Mel'nikov's method
is applied to predict chaos. It is shown, among the others, that
tribological processes play a stabilizing role. The following
theoretical background has been used in the analysis: perturbation
methods, Mel'nikov's techniques [7,8], Laplace
transformations, the theory of integral equations, and various
variants of numerical analysis. |
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| ISSN: | 1024-123X 1563-5147 |