Tuning and switching of band gap of the periodically undulated beam by the snap through buckling

We propose highly tuning and switching band gaps of phononic crystals through the snap through buckling by investigating wave propagation in a designed tractable undulated beam with single material and periodically arched shape. A series of numerical analyses are conducted to offer a thorough understanding of the evolution of the band gaps as a function of the vertical applied load. We find out that the interesting snap through buckling induced by the vertical load can alter the width of the band gap of the undulated beam dramatically, even switch them on and off. Our researches show an effective strategy to tune the band gaps of phononic crystals through the snap through buckling behavior.