On the modal strain energy approach

Abstract

In this paper, the modal strain energy distribution for a transversely isotropic thickwalled toroidal shell and free boundary is considered. For initial data in the form of a sine-wave, we obtain the same result as in .the Fermi-Pasta and Ulam problem, i.e. the energy does not spread throughout all the normal modes but remains in the initial mode (85%) and a few nearby modes. This result is very important for the treatment of damping, because the distribution of the strain energy in the initial mode can be directly used in the definition of the best treatment areas.