Abstract:

The spatial statistics of several resonant bending modes in an irregularly shaped flat plate have been measured experimentally and calculated in a finite element model. The variations due to changes in the boundary conditions have also been included. The spatial statistics for one boundary condition are essentially the same as the statistics obtained over random variations in the boundary conditions. This is consistent with an ergodic model for the vibration pattern in an irregular plate in that one realization of the plate boundary condition represents the same statistics as the ensemble over varying boundary conditions.