The main purpose of the paper consists in illustrating a procedure for expressing the equations of motion for a general time-dependent constrained system. Constraints are both of geometrical and differential type. The use of quasi-velocities as variables of the mathematical problem opens the possibility of incorporating some remarkable and classic cases of equations of motion. Afterwards, the scheme of equations is implemented for a pair of substantial examples, which are presented in a double version, acting either as a scleronomic system and as a rheonomic system.
Motion of Nonholonomous Rheonomous Systems in the Lagrangian Formalism / F. Talamucci. - In: JOURNAL OF APPLIED MATHEMATICS AND PHYSICS. - ISSN 2327-4352. - ELETTRONICO. - 3:(2015), pp. 295-309. [10.4236/jamp.2015.33043]
Motion of Nonholonomous Rheonomous Systems in the Lagrangian Formalism
TALAMUCCI, FEDERICO
2015
Abstract
The main purpose of the paper consists in illustrating a procedure for expressing the equations of motion for a general time-dependent constrained system. Constraints are both of geometrical and differential type. The use of quasi-velocities as variables of the mathematical problem opens the possibility of incorporating some remarkable and classic cases of equations of motion. Afterwards, the scheme of equations is implemented for a pair of substantial examples, which are presented in a double version, acting either as a scleronomic system and as a rheonomic system.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.