Abstract: The flexural vibration behavior of elastic wave across a slender beam with locally resonant structures is studied by using the transfer-matrix ? method and the finite element (FE) method. Flexural elastic wave band gaps are found in this locally resonant beam with its band structure calculated with the TM method. The corresponding frequency response function of a finite sample composed of organic glass beam; caoutchouc and copper blocks are calculated with FE method. Those theoretical results are verified with the vibration experiment. The calculated and measured results show a good agreement. The existence of low-frequency band gaps in the locally resonant structure provides a new way in the flexural vibration control of beams.

Key words: Beam, Locally resonant, Phononic crystals, Vibration band gap