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Report de recerca: DEIM-RR-07-004

Descarrega
DEIM-RR-07-004 (238.4Kb)
Nombre de descàrregues: 1864

Títol

Is it possible to solve the dynamics problem inside the configuration space?

Autor/s

Rafael Ramírez, Natalia Sadovskaia

Data

30-09-2007

Grup de recerca

--

Tipus de report

Recerca

Idioma

English

Nombre de pàgines

46

Resum

In the history of mechanics, there have been two points of view for studying mechanical systems: The Newtonian and the Cartesian. A main achievement of Newton was perceiving that the dynamics of the real system are prescribed by second-order di®erential equations. To reduce the equations of motion to the investigation of dynamic system it is necessary to double the dimension of the position space and to introduce the auxiliary phase space.However, we are interested not in the phase trajectories themselves but in their projection on the configuration space. [...]

Paraules Clau

Non-holonomic systems, Cartesian approach, Newtonian approach, constraint, differential equation, La