Optimal control of acoustic radiation power for a triple-walled structure

Abstract

This paper is concerned with active control of acoustic radiation power of a multi-walled structure. In the past literature, optimal control of acoustic radiation power for a double-walled structure in which both walls of the acoustic space are surrounded by flexible walls has been studied. It has been clarified that the reduction level of an actively controlled doublewalled structure is greater than that of an actively controlled one-walled structure in the sense of sound transmission control. Thus, the number of flexible walls have an impact on the control effect. However, research on modelling and control of a triple or more walled structure have not sufficiently done. Therefore, this paper presents how to model and control a triple walled structure. First, in order to facilitate further numerical analysis of multiple-walled structures, we model triple-walled structures using block inverse matrices, which is different from the conventional method. Next, the validity of the theory using the block inverse matrix is verified by comparing with the result of the numerical analysis for the triple-walled structure in the previous research. Finally, we verify the optimal control of acoustic radiation power by two control elements in a triple-walled structure from the numerical perspective, comparing its characteristics with the case of control by one control element.