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The transmission loss (TL) of the membrane-type acoustical metamaterials with coaxial ring masses are investigated using the finite element method. The results show that the TL peak and resonance frequencies of the membrane-type acoustical metamaterials depends on mass, distribution of coaxial ring masses, and the contacting area of coaxial ring masses with the membrane. It is also shown that the coaxial ring masses only affect the TL at low frequencies, while the membrane is effective at all frequencies. Additionally, the double-leaf membrane-type acoustical metamaterials structure has been constructed. The roles of the membrane and ring masses of double-leaf membrane-type acoustical metamaterials structure on TL are investigated. The influence of the depth of air-cavity on the TL is then discussed.

The Effect of Coaxial Ring Masses with Different Contact Areas, Mass, and Distribution on Membrane-Type Acoustical Metamaterials' Transmission Loss