NEW FORMULATIONS ON THE ACCELERATION ENERGY OF SECOND AND THIRD ORDER APPLIED IN ANALYTICAL MECHANICS
This paper is devoted to the presentation of new formulations on the energies of higher order, that are used in the dynamic study of mechanical systems. Integral part of these mechanical systems is the mechanical robot structures, on which an application will be presented in order to highlight the importance on the energies of higher order regarding the dynamic behavior. In current dynamic studies, the kinetic energy is used as a central function in Lagrange - Euler equations. This paper extends the study by developing the acceleration energies of second and third order and their implementation, it give the possibility of applying the initial motion conditions: in positions, velocities and accelerations.
Key words:, robot, dynamics, energies of higher order, multibody systems
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