Vakonomic Mechanics

We are studying a new model to describe motions of a system of N material points exposed to external forces and constraints. This model, called Vakonomics Mechanics , is based in a variational principle (similar to the Principle of Least Action) whose formulation uses a modified concept of variation. It was introduced by V.V. Kozlov and V.I. Arnold. When all constraints are holonomics (integrable) this model gives the same motions as the traditional analytic mechanical model.

Members Active in this Field (at IME-USP)

  1. Manuel Valentim de Pera Garcia - (e-mail mane@ime.usp.br)
  2. Sônia Regina Leite Garcia - ( e-mail sonia@ime.usp.br )
  3. Pedro Aladar Tonelli - (e-mail tonelli@ime.usp.br)

Publications

  1. Mecânica Vakonomica - Mario Tirone - Master Dissertation, IME-USP 1994

Projects in development

  1. Development of a global formalization of the Vakonomic mechanics.
  2. Lack of determinacy in Vakonomic mechanics.
  3. Lyapounof stability in the context of Vakonomic mechanics.
mane at ime.usp.br
Up to research fields in applied math