title: Analytical coupled vibroacoustic modeling of membrane-type acoustic metamaterials: plate model.
abstract: By considering the elastic membrane's dissipation, the membrane-type acoustic metamaterial (MAM) has been demonstrated to be a super absorber for low-frequency sound. In the paper, a theoretical vibroacoustic plate model is developed to reveal the sound energy absorption mechanism within the MAM under a plane normal incidence. Based on the plate model in conjunction with the point matching method, the in-plane strain energy of the membrane due to the resonant and antiresonant motion of the attached masses can be accurately captured by solving the coupled vibroacoustic integrodifferential equation. The sound absorption ability of the MAM is quantitatively determined, which is also in good agreement with the prediction from the finite element method. In particular, microstructure effects including eccentricity of the attached masses, the depth, thickness, and loss factor of the membrane on sound absorption peak values are discussed.
authors.affiliation: Department of Systems Engineering, University of Arkansas at Little Rock, Little Rock, Arkansas 72204.
authors.forename: Yangyang
authors.initials: Y
authors.lastname: Chen
authors.affiliation: Department of Systems Engineering, University of Arkansas at Little Rock, Little Rock, Arkansas 72204.
authors.forename: Guoliang
authors.initials: G
authors.lastname: Huang
authors.affiliation: Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China.
authors.forename: Xiaoming
authors.initials: X
authors.lastname: Zhou
authors.affiliation: Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China.
authors.forename: Gengkai
authors.initials: G
authors.lastname: Hu
authors.affiliation: School of Aeronautics and Astronautics, Purdue University, West Lafayette, Indiana 47907.
authors.forename: Chin-Teh
authors.initials: CT
authors.lastname: Sun