We develop the method of singular space-time transformations for systems with impact and friction. We consider a mathematical model of a Painlevé problem concerning impacts of an absolutely rigid bar with a rough surface. Using the method of singular space-time change of variables, we obtain the model of an absolutely rigid body by passing to the limit as the generalized rigidity parameter tends to infinity.
|Original language||English (US)|
|Number of pages||12|
|Journal||Journal of Mathematical Sciences (United States)|
|State||Published - Nov 1 2016|
ASJC Scopus subject areas
- Statistics and Probability
- Applied Mathematics