A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena

  title={A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena},
  author={Ettore Minguzzi},
  journal={The Journal of Geometric Mechanics},
  • E. Minguzzi
  • Published 1 October 2014
  • Engineering, Physics
  • The Journal of Geometric Mechanics
A mechanical covariant equation is introduced which retains all the effectingness of the Lagrange equation while being able to describe, in a unified way, other phenomena including friction, non-holonomic constraints and energy radiation (Lorentz-Abraham-Dirac force equation). A quantization rule adapted to the dissipative degrees of freedom is proposed which does not pass through the variational formulation. 

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