Active noise reduction of a coupled rectangular cavity using active wave control

ABSTRACT The objective of this study is to generate a quiet space in a coupled rectangular cavity by suppressing a travelling wave caused by vibration of a flexible panel. Firstly, this study begins with description of an enclosed sound field from a wave point of view by introducing a one-dimensional transfer matrix method for three-dimensional space. Next, a concept of modal coupling method is utilized to model a coupled rectangular cavity. Furthermore, introducing multiple control sound sources in an arbitrary plane in the target space, the control law is derived that eliminates a travelling wave passing through the control plane. Finally, numerical simulations are carried out to demonstrate the validity of the proposed method. As a result, it was clarified that the proposed method enables to generate a quiet space by cancelling transmitted waves.