The propagation of waves in periodic systems with alternating properties has been of great interest to engineers and physicists. They exhibit unique dynamic characteristics that enable them to act as filters. Waves can propagate within specific bands of frequencies called pass bands, and attenuate within bands of frequencies called stop bands. Stop bands in structures with periodic or random inclusions are located mainly in the high frequency range, as the wave length has to be comparable with the distance between the alternating parts. Wave attenuation is also possible in structures with locally attached linear oscillators. The stop band is located around the resonant frequency of the local oscillators, and thus a stop band can be created in the lower frequency range. In this paper, wave propagation in one-dimensional infinite periodic chains with attached linear and non-linear local oscillators is studied by using analytical and numerical models. The influence of the damping and the non-linearities on the filtering properties of the chain is investigated, and the results from the analytical calculations are compared with the ones obtained from the numerical simulations.
|Title of host publication||ECCOMAS Thematic Conference, Computational Methods in Structural Dynamics and Earthquake Engineering|
|Publication status||Published - 2007|
|Event||Computational Methods in Structural Dynamics and Earthquake Engineering - Rethymno, Greece|
Duration: 13 Jun 2007 → 16 Jun 2007
|Conference||Computational Methods in Structural Dynamics and Earthquake Engineering|
|Period||13/06/2007 → 16/06/2007|