Abstract
The scattering of the mth Lamb mode by a grating formed by P chains of closely spaced identical mechanical resonators (springs with loads) attached to the boundaries of a solid layer is considered. The distance between the chains is identical to the half-wavelength of the given mode at a frequency ω identical to or close to the natural frequency of the resonator chain with allowance for the interaction of neighboring chains through inhomogeneous modes. The coefficient of reflection of the mth Lamb mode from the aforementioned diffraction grating is calculated.
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