This experiment explored the use of phononic sonic crystals (PSCs) as an educational tool to demonstrate basic principles of wave propagation and phononics. Phononic crystals are periodic structures that attenuate a range of frequencies—called a bandgap—where the periodicity is on the order of the wavelength. Two PSCs were designed, constructed, and tested, to demonstrate the relationship between periodicity and bandgap frequency. The band structure of a 2D array of cylindrical rods was numerically constructed using eigenmode analysis in a finite element simulation. Based on the numerical simulations, two PSC spacings were selected for fabrication with bandgaps in the audible range of human hearing: a 3.5 cm spacing corresponding to a bandgap centered around 3200 Hz and a 6 cm spacing corresponding to a bandgap centered around 5600 Hz. A swept tone was transmitted through both PSCs and the resulting transmission curves were analyzed. The smaller spaced PSC was found to produce a bandgap from 5350z to 6000 Hz, with a 95% transmission drop; and the large PSC was found to produce a bandgap from 2800z to 3750 Hz with an 84% transmission drop. Both crystals were presented at the University of Illinois Urbana-Champaign’s Engineering Open House in April 2024, and their attenuations in the bandgap frequencies were perceived audibly.
Read full abstract