The presence of band gaps in phononic crystals, which forbids acoustic wave propagation within the band-gap frequency range, supplies a new way to control noise and vibration. Acoustic characteristics , Bragg-type band-gap(BG) and locally resonant(LR) BG in the pipe ，periodically installing single Helmholtz resonators(HRs) ，are investigated theoretically and numerically in this paper. By adjusting the parameters , locally resonant BGs and Bragg-type BGs can generate coupling , consequently wide BGs in low frequency will be achieved. A further analysis of the band gap and the transmission loss is discussed under different lattice constant. The result shows that adjusting the parameters can generate coupling with two kinds of acoustic band-gap. This provides us a possible way to achieve a wider acoustic band gap via using the Helmhotlz resonator with appropriate parameters.
Key words
noise control /
phononic crystals /
plane wave assumption /
acoustic band-gap coupling;
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