Systems with a single degree of freedom and a single frictional pair

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


For the above class of systems the following problems will be considered:
  • derivation of the equation for the normal reaction force in the frictional pair, as well as the differential equation of motion with the removed reaction force;

  • determination of the criterion of absence and non-uniqueness of solution for dynamical problem (criterion for Painlevé’s paradoxes);

  • derivation of the condition for rest and the condition for transition to slip with and without paradox;

  • generalization of the concept of self-braking and the frictional cone to the case of systems of particles.


Reaction Force Coulomb Friction Constraint Force Single Degree Stagnation Region 
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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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