Abstract
This paper deals with transmission loss control of a double-walled cavity comprising two flexible panels and five rigid walls. With a view to designing the control system of the double walled cavity, acoustic power modes, orthogonal contributors of the total sound potential energy, are introduced, thereby enabling the suppression of the sound potential energy inside the cavity without causing a spillover effect. This paper begins by describing the sound potential energy under the assumption of a modal coupling phenomenon. The acoustic power mode in terms of a gap space as well as an enclosure is then derived. Moreover, a coupling phenomenon appearing in the double walled cavity is discussed, with the result that an in-phase structural mode and an out-of-phase structural mode influencing the sound potential energy are found to be the dominant factors responsible for the coupling effect on the sound potential energy inside the cavity. Finally an optimal control law for minimizing the sound potential energy is derived, followed by a numerical analysis demonstrating the validity of the proposed control strategy for suppressing the sound potential energy.
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