Titlebook: Method of Dimensionality Reduction in Contact Mechanics and Friction; Valentin L. Popov,Markus Heß Book 2015 Springer-Verlag Berlin Heidel

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Frictional Damping,age of. Even at very small amplitudes of tangential oscillations, the small slip displacements at the border of the contact area always lead to energy dissipation. This effect is the physical mechanism of damping in periodically forced frictionally engaged joints, for example, in leaf springs for co

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The Coupling to Macroscopic Dynamics,d to describe frictional contacts is to formulate a suitable law of friction, which is then subsequently applied in a macroscopic simulation of the system dynamics. However, it is often difficult to formulate a useable law of friction, as the frictional force is not only a function of the instantane

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Acoustic Emission in Rolling Contacts,technical systems, such as gears, ball bearings, wheel–rail, tire–road systems, and many others. The main difficulty in analyzing the rolling noise is solving the problem of contact between two elastic rough bodies. In this chapter, we use the method of dimensionality reduction for solving this prob

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Coupling to the Microscale,y practical application using the method will lose its validity even earlier, due to the finite spatial resolution of the surface topography. Therefore, it begs the question of whether the interactions on even smaller scales can be summarized into a microscopic “contact law” or “law of friction,” so

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And Now What?,al applications, such as the contact mechanics of axially-symmetric bodies, it provides exact results. In the case of the contact of randomly rough surfaces, the method provides asymptotically exact results (for very small and very large forces) and offers in the transitional domain a very good appr

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Appendix 2: Exact Solutions in Three Dimensions for the Tangential Contact of Axially-Symmetric BodIn this chapter, the proof of validity of the method of dimensionality to tangential contacts with friction between axially-symmetric bodies is given. The proof is based on the close relationship between normal and tangential contacts found in the works by Cattaneo, Mindlin, Jäger, and Ciavarella.

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Rolling Contact,ransport mechanisms. In this chapter, it will be shown that the tangentially loaded, three-dimensional rolling contact can also be mapped to a one-dimensional equivalent system. In this way, the method of dimensionality reduction allows complex problems, such as the oscillating rolling contact, to be investigated.