Fundamental Principles of Lagrangian Dynamics : Mechanical Systems with Non-ideal , Holonomic , and Nonholonomic Constraints

@inproceedings{Udwadia2000FundamentalPO,
  title={Fundamental Principles of Lagrangian Dynamics : Mechanical Systems with Non-ideal , Holonomic , and Nonholonomic Constraints},
  author={Firdaus E. Udwadia},
  year={2000}
}
This paper deals with the foundations of analytical dynamics. It obtains the explicit equations of motion for mechanical systems that are subjected to non-ideal holonomic and nonholonomic equality constraints. It provides an easy incorporation of such non-ideal constraints into the framework of Lagrangian dynamics. It bases its approach on a fundamental principle that includes non-ideal constraints and that reduces to D’Alembert’s Principle in the special case when all the constraints become… CONTINUE READING