Low-Frequency Sound Transmission through Periodically Inhomogeneous Plates with Arbitrary Local Anisotropy and Arbitrary Global Symmetry
The problem of low-frequency sound transmission through periodically inhomogeneous plates is traced back to the known solution for homogeneous anisotropic plates. This is accomplished by an exact homogenization procedure which deduces the effective moduli from at most 18 Bloch-wave
velocities along 6 directions of the periodic structure. The formulation is completely general with respect to both local anisotropy and global symmetry of the periodic structure. In addition, the special cases of local isotropy and global orthotropy are also given explicitly. Material damping
may be accounted for by adding imaginary parts to the effective moduli. The method is illustrated by two examples related to building acoustics.
Document Type: Research Article
Publication date: 01 July 1996
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