AN INVESTIGATION ON THE ENERGY EQUIPARTITION PRINCIPLE IN STRUCTURAL DYNAMICS OF UNCERTAIN SYSTEMS

The question of energy sharing among complex engineering vibrating systems is still an open problem. On the basis of some recent investigations, this paper is addressed to the prediction of the long term equilibrium energies of interacting conservative resonators. More specifically, the goal would rely in a better understanding of the principle of energy equipartition, that still presents many questionable points. The analysis tries to explore both the field of linear as well as nonlinear vibrations, being the principle of equipartion obeyed in a different fashion in the two cases. Although the present work is a preliminary step in the analysis of this complex subject, some conclusions are stated and supported by the results of numerical experiments.