title: Sound transmission in a duct with a side-branch tube array mounted periodically.
abstract: This paper presents a theoretical study of sound propagation in a duct with a tube array flush-mounted periodically. The underlying wave interaction is analyzed by the transfer matrix method, and validated by the numerical simulation. With identical tubes, a particular situation is observed that the periodic distance and the tube length are "matched," leading to a strong coupling effect by Bragg reflection and tube resonance, resulting in a wide stopband in low frequency. Even when the tubes in the array are not identical, the Bragg reflection can still work to broaden the stopband which was originally contributed by tube resonances.
authors.affiliation: Shanghai Academy of Environmental Sciences, 508 Qinzhou Road, Shanghai 200233, China.
authors.forename: Xiaonan
authors.initials: X
authors.lastname: Wang
authors.affiliation: Shanghai Academy of Environmental Sciences, 508 Qinzhou Road, Shanghai 200233, China.
authors.forename: Wenying
authors.initials: W
authors.lastname: Zhu
authors.affiliation: Shanghai Academy of Environmental Sciences, 508 Qinzhou Road, Shanghai 200233, China.
authors.forename: Yude
authors.initials: Y
authors.lastname: Zhou