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Systems with many degrees of freedom and a single frictional pair. Solving Painlevé’s paradoxes

  • Le xuan Anh
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Abstract

The chapter is concerned with deriving equations for the class of systems with many degrees of freedom and a single frictional pair, and solving three problems of Painlevé’s paradoxes, namely, the criteria of paradoxes, the origin of their appearance and the true motions. The derivation of the equations and determination of the criterion for the paradoxes are a generalisation of the procedures suggested in Sections 2.1 and 2.3. Understanding the reason for the paradoxes and the true motions under the paradoxical situations is carried out by means of a limiting process in which an elastic contact joint is made absolutely rigid, see [84], [86].

Keywords

Reaction Force Coulomb Friction Phase Trajectory True Motion Paradoxical Situation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Le xuan Anh
    • 1
  1. 1.St. PetersburgRussian Federation

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