On the Tripropellant Rod-shaped Structure ofthe Band Gap of One-dimensional Phononic Crystals

In this paper, the lumped mass method is employed to computerize the band gap property and comparison with the one-dimensional and two-component structure is made. It is showed in the research that the one-dimensional and three-component phononic crystal is efficient in broadening the frequency range of band gaps and reducing the start stopping frequency. Before and after inserting NBR into two-component crystal (Aluminum/plastics), guaranteeing lattice constant SymbolaA@ of two models is 0.3 m and free degree is 300. The band 1 gap starting frequency 463.7 Hz and stopping frequency 2 108.1Hz can be reduced by three-component (Aluminum / NBR / plastic material) phononic crystal when composition ratio is one. When three-component phononic crystal lattice constant SymbolaA@ increases from 0.03 m to 0.42 m, the band 1 starting frequency reduces from 18 943 Hz to 1 353.1 Hz and stopping frequency reduces from 37 799 Hz to 2 699.9 Hz. When lattice constant is 0.3 m, the length of Aluminum is fixed value 0.15 m, the total length of NBR and plastics is fixed value 0.15 m and increasing NBR length from 0 m to 0.15 m, the band 1 starting frequency reduces from 2 359.8 Hz to 1 664.7 Hz and stopping frequency reduces from 5 888.0 Hz to 4 065.3 Hz. Meanwhile, there is a peak of 3 043.6 Hz in low frequency zone of the variation of the band 1 gaps, and this is of positive significance for broadening the band property of one-dimensional phononic crystal.