Vorticity characteristics of the vibration intensity field and the structure‐borne sound

Abstract

This paper deals with the characteristics of real vibrational power flow in a simply supported rectangular panel under the action of feedforward vibration control. It is found that the path of the power flow is a combination of translations and rotations, the rotations induced by the interference of two modes which products a ‘‘vortex generating block.’’ Particular emphasis is placed on the vortex power flow in the vibration intensity field. A qualitative formula for predicting the number of power flow vortices, as well as the discussion of the vortex period, is put forward. Then, by introducing an energy stream function, the generation mechanism of the vortex power flow is quantitatively discussed. The fundamental characteristics of the vortex power flow are further clarified by vortex function derived from the intensity field. A novel method to induce a vortex at an arbitrary location of the plate is also shown, which may have practical applications in controlling the path of vibrational power flow in s...