抄録
This paper is the first of two companion papers on active control based on two independent contributors to the structural kinetic and acoustic potential energy: vibroacoustic modes and clusters. An understanding of the vibroacoustic independent contributors clarifies the main causes of vibrations and sound, and facilitates a reasonable control system design, as reported in earlier literatures. In this paper, the theory of vibroacoustic modal control is applied to a double wall. The double wall consisted of a pair of panels, separated by an air gap and connected by mechanical springs, where the receiver panel is coupled with an acoustic enclosure. Velocity distributions on the panel's surface, which independently contribute to the sum of the structural kinetic energy of the panel and the acoustic potential energy in the enclosure, are derived. These velocity distributions are vibroacoustic modes. Filters are formulated to extract the individual vibroacoustic modes from the measured velocities. The validity of the developed theory is verified through numerical simulations.