title: Analytical coupled vibroacoustic modeling of membrane-type acoustic metamaterials: membrane model.
abstract: Membrane-type acoustic metamaterials (MAMs) have demonstrated unusual capacity in controlling low-frequency sound transmission/reflection. In this paper, an analytical vibroacoustic membrane model is developed to study sound transmission behavior of the MAM under a normal incidence. The MAM is composed of a prestretched elastic membrane with attached rigid masses. To accurately capture finite-dimension rigid mass effects on the membrane deformation, the point matching approach is adopted by applying a set of distributed point forces along the interfacial boundary between masses and the membrane. The accuracy and capability of the theoretical model is verified through the comparison with the finite element method. In particular, microstructure effects such as weight, size, and eccentricity of the attached mass, pretension, and thickness of the membrane on the resulting transmission peak and dip frequencies of the MAM are quantitatively investigated. New peak and dip frequencies are found for the MAM with one and multiple eccentric attached masses. The developed model can be served as an efficient tool for design of such membrane-type metamaterials.
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, People's Republic of 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, People's Republic of 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